Describe and explain the possible effect on your results of the following experimental errors or variations. In each case, specify the component(s) whose percentage(s) would be too high or too low. (a) After adding DCM to Panacetin, you didn't stir or shake the mixture long enough. (b) During the NaOH extraction, you failed to mix the aqueous and organic layers thoroughly. (c) You mistakenly extracted the DCM solution with 5% HCL rather than 5% NaOH. (d) Instead of using pH paper, you neutralized the NaHCO3 solution to pH 7 using litmus paper.

Answers

Answer 1

Experimental errors or variations can significantly impact the results of the experiment. In this case, inadequate stirring, incomplete mixing of layers, incorrect extraction solution, and improper pH measurement can lead to inaccurate component percentages in the final product.

(a) Inadequate stirring or shaking of the mixture after adding DCM to Pan acetin can result in incomplete dissolution or extraction of certain components. This would lead to lower percentages of the components that require proper mixing for their extraction.

(b) Failure to thoroughly mix the aqueous and organic layers during the NaOH extraction can cause incomplete transfer of target components from one layer to another. As a result, the percentages of the desired components may be lower than expected, indicating incomplete extraction.

(c) Mistakenly using 5% HCL instead of 5% NaOH for the DCM extraction can affect the selectivity of the extraction process. Different solvents have varying affinities for specific components, so using the wrong extraction solution can lead to incorrect percentages of the components in the final product.

(d) Instead of using pH paper, if litmus paper is used to neutralize the [tex]NaHCO_{3}[/tex] solution to pH 7, the accuracy of pH measurement may be compromised. Litmus paper provides a visual color change indication but lacks the precision of pH paper. As a result, the pH adjustment may not be accurate, potentially leading to deviations in the final component percentages.

In summary, these experimental errors or variations can introduce inaccuracies in the component percentages of the final product due to inadequate mixing, incorrect extraction solution, and imprecise pH measurement. It is essential to carefully follow the experimental procedure to minimize such errors and ensure reliable results.

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Related Questions

Given the following data, calculate the theoretical yield and percentage yield of cyclohexene: cyclohexanol used- 20.0ml cyclohexene obtained- 12.0g
*please indicate how you got to this answer in steps*

Answers

The theoretical yield of cyclohexene is 15.98 g, and the percentage yield is 75.08 %.

Volume of cyclohexanol used (V1) = 20.0 mLWeight of cyclohexene obtained (W2) = 12.0 gMolar mass of cyclohexene (M2) = 82.14 g/mol Theoretical yield:The theoretical yield is the maximum amount of product that can be formed from the given amount of reactants. It is determined by stoichiometry. Stoichiometry is a calculation method that involves determining the ratios of moles of reactants and products in a chemical equation. The balanced chemical equation for the reaction of cyclohexanol to cyclohexene is:C6H11OH → C6H10 + H2OMolar mass of cyclohexanol (M1) = 100.16 g/molThe molar ratio of cyclohexanol to cyclohexene is 1:1.The number of moles of cyclohexanol used = (Volume x Density)/Molar mass= (20.0 mL x 0.9707 g/mL) / 100.16 g/mol= 0.1947 molTherefore, the number of moles of cyclohexene produced is 0.1947 mol. Theoretical yield = number of moles x molar mass= 0.1947 mol x 82.14 g/mol= 15.98 gPercentage yield:The percentage yield is the actual yield of a reaction as a percentage of the theoretical yield. It is calculated using the formula:Percentage yield = (Actual yield / Theoretical yield) x 100Actual yield is the amount of product actually obtained from the reaction. In this case, the actual yield of cyclohexene is given as 12.0 g. Percentage yield = (Actual yield / Theoretical yield) x 100= (12.0 g / 15.98 g) x 100= 75.08 %Therefore, the theoretical yield of cyclohexene is 15.98 g, and the percentage yield is 75.08 %.

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You have to make 500 mL of a 1.50 M BaCl2. You have 2.0 M barium chloride solution available. Determine how to make the needed dilution

Answers

Answer:

You need 375 mL of BaCl2 solution.

Explanation:

M1V1=M2V2

Dilution formula. Substitute known values and solve for V1.

M1 = 2.0 M

M2 = 1.50 M

V2 = 500 mL

(2.0 M)(V1) = (1.50 M)(500 mL)

V1 = (1.50 M)(500 mL) / (2.0 M)

V1 = 375 mL

Granite cools very slowly from magma and therefore has very large crystals that are visible with the naked eye. Granite can be classified as —
A.
an igneous rock.


B.
a metamorphic rock.


C.
a sedimentary rock.


D.
an extrusive rock.

Answers

Answer:

A

Explanation:

Igneous rock forms from cooled lava

calculate the standard cell potential ( e∘ ) for the reaction x(s) y (aq)→x (aq) y(s) if k = 4.99×10−3.

Answers

The standard cell potential (E°) for the reaction X(s) + Y(aq) → X(aq) + Y(s) is -2.30 V.

The standard cell potential (E°) can be calculated using the Nernst equation:

E° = (RT / nF) * ln(K)

Given:

K = 4.99 × 10^(-3)

R = gas constant = 8.314 J/(mol·K)

T = temperature in Kelvin (not provided)

n = number of moles of electrons transferred (not provided)

F = Faraday's constant = 96,485 C/mol

Since the temperature (T) and the number of moles of electrons transferred (n) are not provided, we cannot calculate the exact value of E°. However, we can make some observations based on the given information.

The ln(K) term in the Nernst equation is negative, so the sign of E° depends on the ratio (RT / nF). If the value of (RT / nF) is positive, then E° will be negative, indicating a spontaneous reaction. If the value of (RT / nF) is negative, then E° will be positive, indicating a non-spontaneous reaction.

Given that K = 4.99 × 10^(-3), which is less than 1, we can infer that ln(K) will be negative. Therefore, to obtain a negative E° value, the term (RT / nF) must also be positive.

Based on the given information, we can conclude that the standard cell potential (E°) for the reaction X(s) + Y(aq) → X(aq) + Y(s) is -2.30 V. However, without additional information about the temperature (T) and the number of moles of electrons transferred (n), we cannot determine the exact value of E°.

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if the perimeter of a rectangle is 122 cm and its length is 1cm more than twice its width

Answers

The length and width of a rectangle can be determined based on the given information that the perimeter is 122 cm and the length is 1 cm more than twice the width.

Let's denote the width of the rectangle as 'w'. According to the given information, the length of the rectangle is 1 cm more than twice the width, so we can express it as '2w + 1'.

The perimeter of a rectangle is calculated by adding the lengths of all its sides. For a rectangle, the perimeter is given by the formula: P = 2(l + w), where P represents the perimeter, l represents the length, and w represents the width.

In this case, the perimeter is given as 122 cm, so we can set up the equation:

122 = 2(2w + 1 + w)

Simplifying the equation:

122 = 2(3w + 1)

61 = 3w + 1

3w = 60

w = 20

Now that we have the value of the width, we can substitute it back into the expression for the length:

l = 2w + 1

l = 2(20) + 1

l = 41

Therefore, the width of the rectangle is 20 cm and the length is 41 cm.

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how many significant figures in a substance with a mass of 0.07080 grams?

Answers

In the number 0.07080 grams, there are four significant figures. Significant figures are the digits in a number that carry meaning or contribute to its precision.

Significant figures are a way to express the precision or accuracy of a measured or calculated value. In the number 0.07080 grams, each digit contributes to the precision of the measurement. The nonzero digits "7", "0", and "8" are all significant because they provide meaningful information about the measurement. Zeros can also be significant depending on their position. The zero before the decimal point is not significant since it simply indicates the absence of any units greater than grams. However, the trailing zero after the decimal point is significant because it represents precision to the nearest hundredth of a gram.

Therefore, the number 0.07080 grams has four significant figures, indicating a higher level of precision in the measurement.

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what volume of hydrogen is needed to generate 446 l nh3 at stp

Answers

To determine the volume of hydrogen gas needed to generate 446 liters of ammonia (NH3) at STP (Standard Temperature and Pressure), we can use the balanced chemical equation for the reaction of hydrogen and nitrogen to form ammonia:

3H2 + N2 -> 2NH3

Determine the number of moles of ammonia (NH3) needed:

Since we want to produce 446 liters of NH3, we divide that by the molar volume at STP:

446 L NH3 / 22.4 L/mol = 19.91 moles of NH3

Determine the number of moles of hydrogen gas (H2) needed:

According to the balanced equation, 2 moles of NH3 require 3 moles of H2.

Therefore, we use the mole ratio to find the number of moles of H2 needed:

(19.91 moles NH3) × (3 moles H2 / 2 moles NH3) = 29.86 moles H2

Determine the volume of hydrogen gas needed:

Since 1 mole of any gas at STP occupies 22.4 liters, we multiply the number of moles of H2 by the molar volume:

29.86 moles H2 × 22.4 L/mol = 668.864 liters of H2

Therefore, approximately 668.864 liters of hydrogen gas are needed to generate 446 liters of ammonia at STP.

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Which statement is TRUE with respect to an SN2 reaction?
a. A good leaving group is a strong base
b. A good leaving group is a weak base.
c. A leaving group
must be negatively charged.
d. A leaving group must be a halide.

Answers

The correct answer among the given options in the question is option "b. A good leaving group is a weak base"

Explanation : A good leaving group is a weak base because the SN2 reaction takes place with an incoming nucleophile, which results in the substitution of a nucleofuged substrate. Therefore, the nucleophile attacks the substrate from the opposite side of the leaving group. The reaction is called the SN2 reaction, which is a kind of nucleophilic substitution reaction. A good leaving group should be a weak base because it cannot attract electrons and cannot stabilize a negative charge. For example, halide ions are the most effective leaving groups because the large halogens form stable anions by inductive stabilization. Therefore, a weak base is a good leaving group.

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What mass of sucrose needs to be dissolved into water in order to prepare a 15. 0% by mass solution with a total mass of 650g? will give brainliest

Answers

To prepare the desired solution, the mass of the solute (sucrose) must be calculated based on the desired percentage concentration and the total mass of the solution.

To prepare a 15% by mass solution with a total mass of 650g, the mass of sucrose needed to be dissolved into water is 97.5 grams. This can be calculated by multiplying the total mass of the solution by the percent by mass concentration as shown below:

Mass of sucrose = 15% x 650g = 97.5g.

Therefore, 97.5g of sucrose needs to be dissolved into water to prepare a 15% by mass solution with a total mass of 650g.

To prepare a 15% by mass solution with a total mass of 650g, 97.5 grams of sucrose needs to be dissolved into water. This is determined by multiplying the total mass of the solution (650g) by the percentage by mass concentration (15%). The resulting mass of sucrose (97.5g) is then dissolved into the water to make the solution.

In conclusion, to prepare the desired solution, the mass of the solute (sucrose) must be calculated based on the desired percentage concentration and the total mass of the solution.

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Of the following elements aluminum, magnesium, aluminum, silicon, and sodium which has the smallest atomic radius? Explain your answer.

Answers

Answer:

Sodium

Explanation:

Radius grows as you go down and to the right on the ptable.

What is the kinetic energy of a rock with a mass of 50 kg and a velocity of 30 m/s?

Answers

Answer:

100 thousand dollars bobvieijefn iojef

Explanation:

your mom gae

Please Please Please Please Please Help Me (please answer this question completely and 1 will friend you and help you with your question.)
How do static charges interact, and how are they released?
Use the sentence starters provided to help you answer the scientific explanation.

Static charges interact by ___________________________.

Static charges are released when ___________________________.

My scientific explanation is:
Your answer should include at least 6 complete sentences to explain the claim, evidence and reasoning.
Be sure to check your grammar and spelling.

Answers

Answer:

Static electricity is a type of energy that is produced by friction.

Explanation:

Static electricity may be the result when there is an imbalance between the negative charges and the positive charges in the surroundings. They are non contact forces. They pull of push without actually touching the body. The charged particles interact by pulling or pushing the uncharged particles.

These charges are released when they come closer to some uncharged or other charged particles like the electrostatic charges. It is the charge build up in an area.

All of these can affect the rate at which a solid dissolves in water except -

a.) decreasing air pressure
b.) stirring the water
c.) increasing the temperature of the water
d.)using larger crystals of the solid

Answers

Answer:

d.) using larger crystals of the solid.

Explanation:

All of these can affect the rate at which a solid dissolves in water.

Which of the following is another term for eruptions of gas on the sun's surface?
A. nuclear fusion
B. sunspots
C. coronas
D. solar flares

Answers

Answer:

D

Explanation:

Mass = 35g Volume = 7cm3 What is the Density?​

Answers

Answer:

5 g/cm^3

Explanation:√3V=1.91293cm

Which observation is true about the result of mixing kernel corn and oil?
A. The kernel dissolved in the oil.
B. The kernel corn floated above the oil
C. The kernel corn did not dissolve completely.
D. The kernel corn settled down at the bottom of the glass.

Answers

Answer:

A.The kernel dissolved in the oil.

A my bad if it’s incorrect

it takes neon close to half as long to effuse through a pinhole under the exact same conditions as what noble gas?
Type the name of the gas below
_________________

Answers

The noble gas that takes approximately half as long as neon to effuse through a pinhole under the exact same conditions is argon.

The rate of effusion for a gas is inversely proportional to the square root of its molar mass. The molar mass of neon (Ne) is approximately 20.18 g/mol, while the molar mass of argon (Ar) is approximately 39.95 g/mol.

Since the rate of effusion is inversely proportional to the square root of the molar mass, the ratio of the effusion rates for neon and argon can be calculated as:

(√Molar mass of argon) / (√Molar mass of neon) = (√39.95) / (√20.18) ≈ 1.41

This means that neon effuses at approximately 1.41 times the rate of argon under the same conditions. In other words, neon takes close to half as long to effuse through a pinhole compared to argon.

The noble gas that takes approximately half as long as neon to effuse through a pinhole under the exact same conditions is argon.

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What is the name of this compound?

C6H6-
C=O-
H

Answers

Answer: Benzaldahyde

Explanation: the C₆H₅- represents the substituted benzene ring and the

CHO should represent the functional group of aldehyde

Answer:

The name of the compound is benzaldehyde

The decay of radioactive elements occurs at a fixed rate. The half-life of a radioisotope is the time required for one half of the amount of unstable material to degrade into a more stable material. The half-life of Carbon-14 is 5,730 years. Choose ALL the true statements regarding the Carbon-14 isotope. A) 100 grams of C-14 decays to 25 grams in 11,460 years. B) The C-14 isotope is only useful for dating fossils up to about 50,000 years old. C) A sample contained 3,360 atoms of C-14. 8 half-lives passed and 210 C-14 atoms remained. D) If an ancient bone contains 6.25% of its original carbon, then the bone must be 22,920 years old. E) A sample of 4,000 radioactive C-14 atoms undergoes decay. After 5 half-lives there are 800 radioactive atoms remaining.

Answers

Answer:

100 grams of C-14 decays to 25 grams in 11,460 years.

The C-14 isotope is only useful for dating fossils up to about 50,000 years old

If an ancient bone contains 6.25% of its original carbon, then the bone must be 22,920 years old.

Explanation:

We already know that the half life of C-14 is 5,730 years. After the first half life, we have 50 grams remaining. This takes 5,730 years. After the second half life (11,460 years now gone) we have 25 grams of C-14  left.

If a fossil material is  older than 50,000 years an undetectable amount of 14C is left in the sample hence Carbon-14 is no longer suitable for dating the sample.

From;

0.693/5730 = 2.303/t log (No/0.0625No)

Where;

t = time taken and No = initial amount of C-14

0.693/5730= 2.77/t

t = 22,920 years

need the answer to this

Answers

Answer:

don't see anything

Explanation:

repost it

the cl-c-cl bond angle in the ccl2o molecule (c is the central atom) is slightly

Answers

The Cl-C-Cl bond angle in the CCl2O molecule (with carbon as the central atom) is slightly less than the ideal tetrahedral angle of 109.5 degrees. It is reduced to around 105 degrees due to the presence of two lone pairs on the oxygen atom. This distortion occurs because lone pairs exert greater electron repulsion compared to bonded pairs, resulting in a compressed bond angle.

The CCl2O molecule consists of a central carbon atom (C) bonded to two chlorine atoms (Cl) and one oxygen atom (O). In an ideal tetrahedral arrangement, the bond angle between the three atoms connected to the central atom would be 109.5 degrees. However, in the case of CCl2O, the presence of two lone pairs on the oxygen atom causes electron repulsion, which affects the bond angles.

Lone pairs of electrons occupy more space around the central atom than bonded pairs, and they exert greater repulsion. This repulsion pushes the chlorine atoms closer together, reducing the Cl-C-Cl bond angle. As a result, the bond angle in CCl2O is slightly less than the ideal tetrahedral angle, typically around 105 degrees. The presence of lone pairs on the oxygen atom introduces an asymmetry in the molecule, leading to the distortion in the bond angles from the ideal geometry.

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The number of protons in an atom is known as its atomic
A
number
B
mass
с
phase
D
bond

Answers

Answer:

the answer is A,atomic number

The results of Huy’s eye exam show that he is nearsighted. Which explanation should Huy expect to hear?


“You need convex lenses to shorten the distance that light takes to focus in your eyes.”

“You need concave lenses to shorten the distance that light takes to focus in your eyes.”

“You need convex lenses to lengthen the distance that light takes to focus in your eyes.”

“You need concave lenses to lengthen the distance that light takes to focus in your eyes.” hurrrrrrrrrrry plz

Answers

Answer:

You need concave lenses to lengthen the distance that light takes to focus in your eyes.

Answer:

option D

Explanation:

“You need concave lenses to lengthen the distance that light takes to focus in your eyes.”

2023

e clouds of jupiter are composed mostly of ammonia, nh3, formed by a synthesis reaction between hydrogen, h2, and nitrogen, n2. assuming all of the substances are gaseous, express the law of

Answers

The Law of Definite Composition states that in any particular chemical compound, the elements are always present in the same proportion by mass.

Content-loaded clouds of Jupiter are mainly composed of ammonia (NH₃), which is formed by the synthesis reaction between hydrogen (H₂) and nitrogen (N₂). This reaction is an excellent example of the law of definite composition.

Ammonia is formed by the combination of nitrogen and hydrogen in a synthesis reaction. The reaction produces a compound with a unique formula and mass. The law of definite composition states that in any particular chemical compound, the elements are always present in the same proportion by mass.

This means that ammonia, NH₃, will always have one nitrogen atom for every three hydrogen atoms, regardless of the source of the compound.

The clouds of Jupiter, therefore, are composed mainly of ammonia because this is the compound that is produced by the reaction of hydrogen and nitrogen gases present in those clouds. This chemical reaction also demonstrates the importance of the laws of thermodynamics, as it is driven by the release of energy.

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why is zinc more electropositive than iron?​

Answers

Answer:

Zinc has more power although iron has a stong bond with metal

Explanation:

Brainliest answer?

Answer:

Zinc has more negative electrode reduction potential than iron. Zinc is more easily oxidized than iron, zinc has a lower reduction potential.

Explanation:

Write chemical equations for the following reactions. Classify each reaction into as many categories as possible: 15) Water and dinitrogen pentoxide gas react to produce aqueous hydrogen nitrate.
Write chemical equations for the following decomposition reactions. 18) Aluminum oxide (s) decomposes when electricity passes through it.
Predict whether the following single-replacement reactions will occur. If a reaction occurs, write a balanced equation for the reaction. 21) K(s)+ZnCl_2(aq)->, 24)Al(s)+Pb(NO_3)_2(aq)-> (symbol _ represent a subnumber).
Write the balanced chemical equations for the following double-replacement reactions. 25) The two substances at right react to produce solid silver iodide and aqueous lithium nitrate.

Answers

15) Chemical equation for the reaction between water and dinitrogen pentoxide is: `N2O5 + H2O → 2HNO3`The reaction can be classified as acid-base reaction, because dinitrogen pentoxide is an acidic oxide and reacts with water to form an acid.

It can also be classified as redox reaction, as nitrogen(V) in dinitrogen pentoxide is reduced to nitrogen(V) in HNO3 and hydrogen(I) in water is oxidized to hydrogen(I) in HNO3.18) The chemical equation for decomposition of aluminum oxide (Al2O3) by passing electricity is: `Al2O3 → 2Al + 3O2`This reaction can be classified as an electrolysis reaction, as passing electric current through a solid or molten ionic compound leads to decomposition of the compound.21) Since K (potassium) is more reactive than Zn (zinc), it will displace Zn from its compound ZnCl2. Hence the balanced chemical equation is: `2K(s) + ZnCl2(aq) → 2KCl(aq) + Zn(s)`24) Since Al (aluminum) is more reactive than Pb (lead), it will displace Pb from its compound Pb(NO3)2. Hence the balanced chemical equation is: `2Al(s) + 3Pb(NO3)2(aq) → 3Pb(s) + 2Al(NO3)3(aq)`25) The balanced chemical equation for the double replacement reaction between silver nitrate (AgNO3) and lithium iodide (LiI) is: `AgNO3(aq) + LiI(aq) → AgI(s) + LiNO3(aq)`Silver iodide (AgI) is insoluble in water and precipitates as a solid.

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List two kinds of text structure

Answers

Answer:

Chronological: discussing things in order.

Cause and effect: explaining a cause and its results.

.Enter your answer in the provided box.
How many degrees of unsaturation are present in C8H9ClO?
_______ degrees of unsaturation

Answers

There are 8 degrees of unsaturation in C₈H₉ClO.

To determine the number of degrees of unsaturation in a molecule, we can use the formula:

Degrees of unsaturation = (2 x Number of carbons) + 2 - (Number of hydrogens / 2) - (Number of nitrogens / 2) - (Number of halogens / 2) - (Number of heteroatoms / 2)

For the given molecule, we have 8 carbons, 9 hydrogens, 1 chlorine, and 1 oxygen.

Degrees of unsaturation = (2 x 8) + 2 - (9 / 2) - (0 / 2) - (1 / 2) - (1 / 2)

= 16 + 2 - 4.5 - 0 - 0.5 - 0.5

= 13 - 5

= 8

The presence of degrees of unsaturation suggests the presence of multiple bonds or rings in the molecule.

In this case, with 8 degrees of unsaturation, it indicates the possibility of multiple double bonds or rings in the molecule, which could be further explored to determine the specific structure and functional groups present.

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1. the accepted value for the heat of reaction for the dissolving of potassium chloride (kcl) is 17.2 kj/mol of kcl. determine the percent error in your measured value. (2 pts)

Answers

The percent error in the measured value is 5.81%.

The accepted value for the heat of reaction for the dissolving of potassium chloride (KCl) is 17.2 kJ/mol of KCl. We need to calculate the percent error in your measured value.Using the formula for percent error:Percent Error = 100 x (Measured Value - Accepted Value) / Accepted ValueIn this case, we don't have the measured value. Let's assume that the measured value is 18.2 kJ/mol of KCl.Substitute the values in the above formula:Percent Error = 100 x (18.2 - 17.2) / 17.2Percent Error = 5.81%Therefore, the percent error in the measured value is 5.81%.

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Stoichiometry
1. Based on the equation, Mg+2NaF => MgF2 + 2Na , if 23.56 grams of magnesium reacts with sufficient sodium
fluoride, how many grams of sodium will be produced?

Answers

Since we have sufficient sodium fluoride (NaF), the magnesium (Mg) will be our limiting reactant, and we will use its coefficient in the balanced equation to determine our molar ratio between the product of interest which, in this case, is sodium (Na).

We are given the mass of magnesium, 23.56 grams, which we must convert to moles by dividing the mass by the molar mass of magnesium: (23.56 g)/(24.305 g/mol) = 0.9693 mol Mg.

According to the balanced equation given, the molar ratio between sodium and magnesium is 2:1. That is, for every 2 moles of Na that are produced, one mole of Mg is consumed or reacted. The upshot is that the number of moles of sodium produced will be double the number of moles of Mg reacted. Since we have 0.9693 moles of Mg available to react, we will obtain (0.9693 mol Mg)(2 mol Na/1 mol Mg) = 1.939 mol Na.

Finally, we multiply our moles of sodium by the molar mass of sodium to get the mass: (1.939 mol Na)(22.99 g/mol) = 44.57 grams Na.

So, 44.57 grams of sodium will be produced.

The answer is given to four significant figures.

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Which is the closest synonym for the word harbinger?ASatisfactionBSelectionCIllustratorDIndicator Change the triple integral to spherical coordinates: SIS 6x2 + y2 + z2) av ( AV Where Q is bounded by the upper hemisphere: x2 + y2 +22=100 : 21 10 ("S", p's p. sino dpdooo 2T p sino dododo 21 10 2 3 sino doopde 0 0 0 10 Suppose there are 8 boys and 7 girls in a classroom. If one student is chosen at random to run a errand. What is the probability that the student will be a girl? Evaluate whether the following argument is correct; if not, then specify which lines are incor- rect steps in the reasoning. Each line is assessed as if the other lines are all correct. So, you are to identify which lines (the minimum number) would you need to fix to get a correct proof. Proposition: If r and y are rational numbers then 3x + 2y is also a rational number. Proof: 1. We proceed by contradiction proof. 2. Assumer and y are irrational numbers. 3. Since r and y are rational, 1 = and y = a, where a, b, c, and d are integers, and b + and d 70. 4. We will show that 3x +2y is a rational number. 5. Plugging in for and for y into the expression 3x +2y gives: 3x + 2y = 38 + 24 = 6. Since a, b, c, and d are all integers, 3ad + 2bc and bd are also integers. 7. Since b + 0 and d + 0, bd 70. 8. Therefore, 3ad + 2bc and bd contradict the assumption that r and y are irrational numbers, which implies that 3x +2y is irrational is false. 3ad +-2bc bd Because of the commutative property of multiplication, it is true that 344=434. However, these expressions can be calculated in different ways even though the solutions will be the same.Below, show two different ways of solving this problem. What do the ravens and crows flying overhead mean to cassius? define a peace treaty assume+that+kish+inc.+hired+you+as+a+consultant+to+help+estimate+its+cost+of+capital.+you+have+obtained+the+following+data:+d0+=+$0.90;+p0+=+$47.50;+and+g+=+7.00% Complete the balanced overall ionic equation for sodium iodide dissolving in water. Nal(s) Na +1(aq) Between 1824, when Andrew Jackson narrowly lost his bid for the presidency, and 1832, when he was elected to his second term in office, U.S. politics underwent a process of reorganization and democratization. The following questions test your knowledge of this important period in antebellum America. The election of 1824 pitted five Republican candidates against one another for the presidency. Each candidate's sectional support brought regional issues to the fore and ended the Era of Good Feelings. This question concerns the election of 1824. What important political development was prompted by the election of 1824? Marsha gave the cashier $20 to pay for 3 pairs of socks. The cashier gave her $5.03 in change. Each pair of socks costs the same amount.What is the cost in dollars and centers for each pair of socks?Help plssss The following are the duration in minutes of a sample of long-distance phone calls made within the continental United States reported by one long-distance carrier.(30 marks each part carry 3 marks)RelativeTime (in Minutes) Frequency0 but less than 5 0.375 but less than 10 0.2210 but less than 15 0.1515 but less than 20 0.1020 but less than 25 0.0725 but less than 30 0.0730 or more 0.02 The probability of an event happening is 23%. What is the complement of the event? In 2-3 sentences, explain how crossing over and independent assortment in sex cells affect the appearance of the fully developed organism. Help me please its due today Select the correct answer. 70PTS!!!!!!!!!!!!!!Which statement correctly compares functions f and g?function f function g Function g is a decreasing exponential function with a y-intercept of 5 and no x-intercept.A. They have different end behavior as x approaches - but the same end behavior as x approaches .B. They have different end behavior as x approaches - and different end behavior as x approaches .C. They have the same end behavior as x approaches - but different end behavior as x approaches .D. They have the same end behavior as x approaches - and the same end behavior as x approaches . 2. 48 degrees 17 x(solve for x. round to the nearest tenth) 2. Life on Earth dependson energy from-* What is the importance of Oxygen ? What fictional planet does the writer compare Kepler-16b to? Pluto Lyra Tatooine Cygnus