The value of the double integral ∬(3x - y) dA, where the region R is in the first quadrant enclosed by the circle x² + y² = 9, the line x = 0, and the line y = x, using the transformation to polar coordinates, is 27/4√2.
To evaluate the double integral, we can switch to polar coordinates. In polar coordinates, the variables x and y are expressed in terms of r (radius) and θ (angle).
The region R, which is enclosed by the circle x² + y² = 9, can be expressed in polar coordinates as 0 ≤ r ≤ 3 and 0 ≤ θ ≤ π/4. This represents the first quadrant portion of the circle.
The Jacobian of the transformation from Cartesian to polar coordinates is r (the absolute value of the determinant of the Jacobian matrix). So, dA in polar coordinates is equal to r dr dθ.
Now, we can express the integral in terms of polar coordinates:
∬(3x - y) dA = ∫∫(3r cos θ - r sin θ) r dr dθ
Next, we need to set up the limits of integration. Since the region R is bounded by x = 0, y = x, and the circle x² + y² = 9, we can set up the limits as follows:
0 ≤ θ ≤ π/4 (corresponding to the angle that spans the first quadrant)
0 ≤ r ≤ 3 (corresponding to the radius of the circle)
Now, we can evaluate the integral:
∫[0,π/4] ∫[0,3] (3r cos θ - r sin θ) r dr dθ
By integrating with respect to r first, we get:
∫[0,π/4] [(3/4) r³ cos θ - (1/2) r³ sin θ] |[0,3] dθ
Simplifying further, we obtain:
∫[0,π/4] [(27/4) cos θ - (27/2) sin θ] dθ
Finally, we integrate with respect to θ:
[27/4 sin θ + (27/2) cos θ] |[0,π/4]
Plugging in the limits of integration, we have:
(27/4 sin(π/4) + (27/2) cos(π/4)) - (27/4 sin(0) + (27/2) cos(0))
Evaluating the trigonometric functions at the respective angles, we find:
(27/4 (1/√2) + (27/2) (1/√2)) - (27/4 (0) + (27/2) (1))
Simplifying further, we get the final result:
(27/4√2 + 27/2√2) - (0 + 27/2) = (27/4√2 + 27/2√2) - 27/2 = 27/4√2
Therefore, the value of the double integral ∬(3x - y) dA over the region R, using the transformation to polar coordinates, is 27/4√2.
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in a dissolving metal reduction, ammonia serves as_________, and each sodium atom________. as a result, the alkyne is ___________to give an alkene product.
In a dissolving metal reduction, ammonia serves as a solvent, and each sodium atom acts as an electron donor. As a result, the alkyne is reduced to give an alkene product.
Dissolving metal reduction is a technique used to reduce alkynes to alkenes using an alkali metal, such as lithium or sodium, in liquid ammonia. During this process, the alkali metal dissolves in liquid ammonia to produce a deep blue color, which is a result of electrons being released from the alkali metal.
This process results in the formation of an intermediate solution containing free electrons that act as strong reducing agents, which can reduce the alkyne to an alkene. Therefore, in this reaction, ammonia serves as a solvent, while each sodium atom acts as an electron donor, leading to the reduction of the alkyne to form an alkene product.
Finally, we can say that in a dissolving metal reduction, ammonia serves as a solvent, and each sodium atom acts as an electron donor. As a result, the alkyne is reduced to give an alkene product.
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C.
Calculate the number of moles in 62g of CO2
Answer:
32÷5
I'm just tryna get points I'm sorry
goodluck tho❤
What effect could the pollution of Groundwater have on a nearby River, Lake or Stream?
Answer:
please give me brainlist and follow
Explanation:
Contamination of ground water can result in poor drinking water quality, loss of water supply, degraded surface water systems, high cleanup costs, high costs for alternative water supplies, and/or potential health problems. The consequences of contaminated ground water or degraded surface water are often serious.
Which of the following is the incorrect IUPAC name of a compound?
A. Pent-3-ene
B. Prop-1-en-2-yne
C. 1-methylpropane
D. All are incorrect.
The IUPAC names of the following organic compounds are correct with the given naming conventions:A. Pent-3-eneB. Prop-1-en-2-yneC. 1-methylpropaneD. All are incorrect - This is the incorrect option because all the given options have correct IUPAC names of the organic compounds. Hence, option D is incorrect.
The International Union of Pure and Applied Chemistry (IUPAC) is an organization that establishes a set of rules for the naming of chemical compounds. This is done to make sure that all scientists in the world use the same names for the same compounds. Therefore, the names should be unique and unambiguous. The IUPAC name of a compound provides information about its molecular structure, functional groups, and substituents. Some of the examples are given below:A. Pent-3-ene - It is a five-carbon molecule with a double bond between the third and fourth carbons. Hence, the name of the compound is pent-3-ene.B. Prop-1-en-2-yne - It is a three-carbon molecule with a triple bond between the first and second carbons and a double bond between the second and third carbons. Hence, the name of the compound is prop-1-en-2-yne.C. 1-methylpropane - It is a three-carbon molecule with one methyl group attached to the first carbon. Hence, the name of the compound is 1-methylpropane.
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In this experiment it takes about 10 microliters of solution to produce a spot 1 cm in diameter. If the Co (NO3)2 solution contains about 6 g Co2+ per liter, how many micrograms of Co2+ ion are there in one spot? 1 microliter - 1E-6 L 1 microgram = 1E-6 g
If the Co (NO₃)₂ solution contains about 6 g Co₂+ per liter, then there are 60 micrograms of Co₂+ ions in one spot.
To calculate the number of micrograms of Co₂+ ions in one spot, we need to convert the given concentration from grams per liter (g/L) to micrograms per microliter (µg/µL) and then multiply it by the volume of the spot.
Given:
Volume of solution for one spot = 10 µL
Concentration of Co₂+ ions in the solution = 6 g/L
First, we need to convert the concentration from grams per liter to micrograms per microliter:
6 g/L = 6 × (1E+6) µg/L (since 1 g = 1E+6 µg)
= 6 × (1E+6) µg / (1E+6) µL (since 1 L = 1E+6 µL)
= 6 µg/µL
Now, we can calculate the number of micrograms of Co₂+ ions in one spot:
Number of micrograms of Co₂+ ions = Concentration of Co₂+ ions × Volume of solution for one spot
= 6 µg/µL × 10 µL
= 60 µg
Therefore, there are 60 micrograms of Co₂+ ions in one spot.
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what are the advantages of using Fahrenheit ?
Answer:
You can better relate to the air temperature.
Explanation:
Fahrenheit gives you almost double the precision of Celsius without having to use decimals.
How might the idea of continental drift explain 300-million-old glacial grooves on four separate southern continents?
The idea of Continental drift explains the presence of 300-million-old glacial grooves on four separate southern continents as they were once joined together and subject to the same climate conditions.
The theory of Continental drift states that the continents were once joined together as a supercontinent called Pangaea and have since drifted apart. This movement has caused the formation of geological features and altered the climate of the earth. 300-million-old glacial grooves have been found on four separate southern continents. This suggests that the continents were once joined together and were subject to the same climate conditions at the time of the formation of these grooves. These continents could have been connected through land bridges or narrow passages, which allowed for the migration of flora and fauna. The movement of these landmasses could have been caused by tectonic activity, which can be linked to the theory of Continental drift.
In conclusion, the idea of Continental drift explains the presence of 300-million-old glacial grooves on four separate southern continents as they were once joined together and subject to the same climate conditions.
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Sooner or later your new school won't feel so strange.get.
I'm hoping the same for my new coaching classes
This is my first time going out to study ngl-
Which indicator would show a pH change from 6 to 7?
A. Red litmus indicator
B. Methyl red indicator
C. Phenol red indicator
D. Blue litmus indicator
Answer:
c
Explanation:
1. litmus paper is used when showing a change between a greater range in ph levels - so A and D are automatically a no.
2. methyl red is used to show a range in ph levels between 4.8-6
3. Option C is the only one left so im going to assume its C because its definitely not A, B, or D
Deep & Thought Provoking Questions to Ask Yourself (& Others)
When was the last time you tried something new? ...
Who do you sometimes compare yourself to? ...
What's the most sensible thing you've ever heard someone say? ...
What gets you excited about life? ...
What life lesson did you learn the hard way?
Answer:
Am I supposed to answer these on brainly?
Explanation:
in 400 bce, the greek philosopher democritus first proposed the idea that all matter was composed of atoms. since that time, scientists have learned that, far from resembling tiny marbles, atoms actually have very complex structures. since it has been changed so many times, why is it referred to as the atomic theory rather than the atomic hypothesis?
The term "atomic theory" is used instead of "atomic hypothesis" because it signifies the evolution and acceptance of the concept over time.
While Democritus initially proposed the idea of atoms in 400 BCE, it was merely a hypothesis without substantial experimental evidence. Over centuries, scientific investigations and advancements led to a deeper understanding of atomic structure and behavior.
The term "atomic theory" acknowledges that the concept of atoms has undergone refinement and modification based on experimental evidence and theoretical developments.
It recognizes that the understanding of atoms has evolved from a speculative hypothesis to a well-established scientific theory supported by extensive experimental observations, mathematical models, and empirical data.
The term "theory" conveys the comprehensive and validated nature of our understanding of atoms, encompassing their complex structures and behavior.
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someone help me on these two 2
Answer:
Question 4 is- Solubility
Question 5 is- Suspension
Hopes this helps >:D
if the halo of our falazy is sypherically symmetric what is the mass density
if the halo of our galaxy is spherically symmetric and has a constant mass density, the mass density remains the same at all radii within the halo. This assumption simplifies the calculation, allowing us to consider a uniform mass density throughout the spherically symmetric halo.
If the halo of our galaxy is spherically symmetric, we can make certain assumptions about its mass distribution. Let's consider a simplified model where the halo has a constant mass density throughout its volume.
In this case, the mass density (ρ) represents the amount of mass per unit volume. To calculate the mass density, we divide the total mass of the halo by its volume. However, since we do not have the specific values for the total mass or the volume, we will express the mass density in terms of an equation.
Let's denote the total mass of the halo as M and the volume of the halo as V. The mass density (ρ) is then given by:
ρ = M / V
Since we assume the halo is spherically symmetric, we can use the formula for the volume of a sphere:
V = (4/3)πr³
where r represents the radius of the sphere.
To obtain the mass density as a function of the radius (ρ(r)), we need to find an expression for the total mass (M) in terms of the radius.
Assuming a constant mass density throughout the halo, the mass (M) enclosed within a sphere of radius r is given by:
M = ρ * V = ρ * (4/3)πr³
Substituting this expression for M into the equation for mass density, we have:
ρ(r) = (ρ * (4/3)πr³) / ((4/3)πr³)
Simplifying the equation, we find that the mass density is constant and independent of the radius:
ρ(r) = ρ
Therefore, if the halo of our galaxy is spherically symmetric and has a constant mass density, the mass density remains the same at all radii within the halo. This assumption simplifies the calculation, allowing us to consider a uniform mass density throughout the spherically symmetric halo.
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Sodium phosphate has industrial uses ranging from clarifying crude sugar to manufacturing paper. It is sold as TSP in hardware stores and used in solution to remove boiler scale and to wash painted brick and concrete. What is the pH of a solution containing 33 g of Na PO, per liter? What is the [OH) of the solution? Show your work using units and correct sig. figs. Hints: (i.) Write the equation for the reaction between sodium phosphate and water. (ii.) You'll need the K of the hydrogen phosphate ion, HPO,, to calculate the K, of the phosphate ion, Po.". (iii.) Set up an I.C.E. table to calculate [OH). (iv.) Use the hydroxide ion concentration to determine the hydronium ion concentration and then the pH.
To determine the pH and [OH-] of a sodium phosphate solution, several steps need to be followed. The balanced equation for the reaction between sodium phosphate and water should be written, and the equilibrium constant (K) for the hydrogen phosphate ion (HPO_{4} ^{-2}) should be obtained. Using an I.C.E. table, the [OH-] can be calculated. From there, the hydronium ion concentration ([[tex]H_{3}O^{+}[/tex]]) can be determined, leading to the calculation of the pH.
The balanced equation for the reaction between sodium phosphate (Na_{3}PO_{4}) and water ([tex]H_{2}O[/tex]) can be written as follows:
[tex]Na_{3}PO_{4}[/tex] + H_{2}O ⇌ 3Na+ + [tex]PO_{4} ^{-3}[/tex] + H_{2}O
To determine the equilibrium constant (K) for the hydrogen phosphate ion (HPO_{4} ^{-2}), the K of the dihydrogen phosphate ion ([tex]HPO_{4} ^{-}[/tex]) is needed. This can be found in reference materials. Next, an I.C.E. (Initial, Change, Equilibrium) table can be set up to calculate the concentration of hydroxide ions ([OH^{-}]) in the solution. By knowing the concentration of sodium phosphate, the concentration of PO_{4} ^{-3}can be determined at equilibrium.
From the [[tex]OH^{-}[/tex]], the hydronium ion concentration ([H_{3}O^{+}]) can be calculated using the Kw (ionization constant for water) equation: Kw = [H_{3}O^{+}[OH^{-}] = 1.0 x 10^-14 at 25°C. Finally, the pH can be determined by taking the negative logarithm (base 10) of the [H_{3}O^{+}]. By following these steps, the pH and [OH^{-}] of the sodium phosphate solution containing 33 g of [tex]Na_{3}PO_{4}[/tex] per liter can be calculated using the appropriate units and significant figures.
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Explain why has a higher boiling point than NH3
Explanation:
Melting point = -33.34°cboiling point=77.73°cWhich claim about the universality of gravity is not supported by evidence?
Answer:
b because i said so
Explanation:
you go to the same school as me BAHAHHAHA
The combustion of acetylene in the presence of excess oxygen yields carbon dioxide and water:
2C2H2 (g) + 5O2 (g) ----> 4CO2 (g) + 2H2O (l) The value of delta So for this reaction is __________ J/K (Answer: +122.3)
To determine the value of ΔSo (change in entropy) for the given reaction, we need to consider the difference in the number of moles of gas between the reactants and the products.
Reactants:
2 moles of C2H2 (g)
5 moles of O2 (g)
Products:
4 moles of CO2 (g)
2 moles of H2O (l)
The change in the number of moles of gas is given by Δn = (moles of gas in products) - (moles of gas in reactants).
Δn = (4 moles of CO2 + 2 moles of H2O) - (2 moles of C2H2 + 5 moles of O2)
= 4 - 2 + 2 - 5
= -1
The ΔSo value can be calculated using the equation ΔSo = ΣnΔSo(products) - ΣnΔSo(reactants).
Since Δn is -1, we have:
ΔSo = (4 mol x ΔSo(CO2) + 2 mol x ΔSo(H2O)) - (2 mol x ΔSo(C2H2) + 5 mol x ΔSo(O2))
Assuming the standard entropy values, we have:
ΔSo = (4 mol x 213.7 J/(mol·K) + 2 mol x 69.9 J/(mol·K)) - (2 mol x 200.8 J/(mol·K) + 5 mol x 205.0 J/(mol·K))
= 122.3 J/K
Therefore, the value of ΔSo for the given reaction is +122.3 J/K.
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1. A sample of oxygen gas has a volume of 150 ml when its pressure is 440 mmHg. If the pressure is
Increased to standard pressure and the temperature remains constant, what will the new volume be?
Answer:86.84
Explanation:
Find [H+] of a 0.056 M hydrofluoric acid solution. Ka = 1.45 x 10-7
Answer: [tex][H^+][/tex] of 0.056 M HF solution is [tex]8.96\times 10^{-5}[/tex]
Explanation:
[tex]HF\rightarrow H^+F^-[/tex]
cM 0 0
[tex]c-c\alpha[/tex] [tex]c\alpha[/tex] [tex]c\alpha[/tex]
So dissociation constant will be:
[tex]K_a=\frac{(c\alpha)^{2}}{c-c\alpha}[/tex]
Give c= 0.056 M and [tex]\alpha[/tex] = ?
[tex]K_a=1.45\times 10^{-7}[/tex]
Putting in the values we get:
[tex]1.45\times 10^{-7}=\frac{(0.056\times \alpha)^2}{(0.056-0.056\times \alpha)}[/tex]
[tex](\alpha)=0.0016[/tex]
[tex][H^+]=c\times \alpha[/tex]
[tex][H^+]=0.056\times 0.0016=8.96\times 10^{-5}[/tex]
Thus [tex][H^+][/tex] of 0.056 M HF solution is [tex]8.96\times 10^{-5}[/tex]
Certain race cars use methanol (CH 3 OH) as fuel. The combustion of 9.8 moles of methanol produces what mass of water?
The combustion of 9.8 moles of methanol will produce 352.8 grams of water.
Stoichiometric calculationFirst, let us look at the balanced equation of combustion of methanol:
[tex]2CH_3OH(l)+3O_2(g)-- > 2CO_2(g)+4H_2O(l)[/tex]
The ratio of number of moles of methanol burned and that of water produced is 1:2.
Thus, 9.8 moles of methanol will produce 19.6 moles of water.
Mass of 19.6 moles water = 19.6 x 18 = 352.8 grams
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Which is the term for the different forms of a gene for a given trait?
Answer:
An allele is a variant form of a gene. Some genes have a variety of different forms, which are located at the same position, or genetic locus, on a chromosome. Humans are called diploid organisms because they have two alleles at each genetic locus, with one allele inherited from each parent.
What statement best explains how life functions a unicellular organism are carried out?
Answer:
The structures in the cell work together to perform its life functions
Explanation:
Answer:
What statement best explains how life functions a unicellular organism are carried out?
Explanation:
sub-atomic particles like negatively charged electrons, positively charged
protons and electrically ________ neutrons
Answer:
neutral
Explanation:
There are three basic subatomic particles. These are;
Protons (positively charged)Electrons (negatively charged)Neutrons (neutral)A neutron has no charge unlike the proton and the electron. It is present in the nucleus and contributes to the mass of the atom.
The diffusion coefficient for aluminum in silicon is D_Al in Si = 3 times 10^- 16 cm^2/s at 300 K. What is a reasonable value for D_Al in Si at 600 K? 1.5 times 10^-16 cm^2/s 3 times 10^-16 cm^2/s 6 times 10^-16 cm^2/s 1.5 times 10^-16 cm^2/s > 6 times 10^-16 cm^2/s
The comparison between an electrical circuit and a water circuit can be helpful in understanding the concepts and principles of electricity by drawing parallels with a familiar system like the flow of water.
In both circuits, the potential energy or pressure that drives the flow is represented by voltage or PSI. Just as pipes provide a path for water to flow, conductors in an electrical circuit provide a path for electricity. The pump in a water circuit acts as the source of energy, similar to a battery in an electrical circuit. Both valves and switches control or regulate the flow by either opening or closing the circuit or pathway. Restrictions in a water circuit and resistance in an electrical circuit impede the flow and reduce the overall current or flow rate. The water meter and ammeter measure the flow rate or current passing through the circuit. Water itself in a water circuit and electrons in an electrical circuit act as carriers of energy. The high-pressure output and positive voltage represent the part of the circuit with higher potential energy, while the low-pressure intake and negative voltage represent the part with lower potential energy. When a valve is closed, it corresponds to an open circuit, interrupting the flow or current. Conversely, when a valve is open, it can be compared to a closed circuit, allowing the flow or current to pass through. The flow rate in a water circuit, measured in liters/second, is similar to the current in an electrical circuit, measured in amps.
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calculate gibbs free energy at 298k for the reaction of nitrogen and hydrogen to form ammonia if the reaction consists of
The Gibbs Free Energy at 298 K for the reaction of nitrogen and hydrogen to form ammonia is -149.2128 kJ/mol. Since this value is negative, it indicates that the reaction is spontaneous under standard conditions (i.e., at 298 K and 1 atm pressure)
The Gibbs Free Energy is one of the most important thermodynamic functions used to determine whether a chemical reaction is spontaneous or not at a given temperature and pressure. It is represented by the symbol "ΔG" and is defined as the difference between the enthalpy (ΔH) and entropy (ΔS) of a system at a constant temperature and pressure. The formula for Gibbs Free Energy is: ΔG = ΔH - TΔS, where T is the temperature in Kelvin (K).
The reaction of nitrogen and hydrogen to form ammonia can be represented by the following chemical equation: N2(g) + 3H2(g) → 2NH3(g)
To calculate the Gibbs Free Energy at 298 K for this reaction, we need to know the standard enthalpy change (ΔH°) and the standard entropy change (ΔS°) for the reaction. These values can be found in a standard thermodynamic data table or by using Hess's Law to calculate them from known enthalpies of formation.
For this reaction, the standard enthalpy change is -92.2 kJ/mol and the standard entropy change is +191.6 J/mol-K. Therefore, we can calculate the Gibbs Free Energy at 298 K using the formula:
ΔG° = ΔH° - TΔS°
= (-92.2 kJ/mol) - (298 K)(0.1916 kJ/mol-K)
= -92.2 kJ/mol - 57.0128 kJ/mol
= -149.2128 kJ/mol
Thus, the Gibbs Free Energy at 298 K for the reaction of nitrogen and hydrogen to form ammonia is -149.2128 kJ/mol. Since this value is negative, it indicates that the reaction is spontaneous under standard conditions (i.e., at 298 K and 1 atm pressure).
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There is a series of nitrogen oxides with the general formula N?O?. What is the empirical formula of one that contains 63.66% nitrogen?
Answer:
N₂O
Explanation:
Empirical formula is defined as the simplest whole number ratio of atoms presents in a molecule
For a nitrogen oxide that contains 63.66% of nitrogen, the percent of oxygen must be:
100-63.66 = 36.34% Oxygen
This percent is the percent in mass. To solve this question we must convert the mass of each atom to moles in order to find the simplest whole number ratio:
Moles of the atoms:
N = 63.66g * (1mol / 14g) = 4.547 moles N
O = 36.34g * (1mol / 16g) = 2.271 moles O
The ratio N:O is:
4.547 moles N / 2.271 moles O = 2
That means there are 2 atoms of N per atom of O and the empirical formula is:
N₂OConsidering the following precipitation reaction:
Pb(NO3)2(aq) + 2KI(aq) → PbI2(s) + 2KNO3(aq)
Which ion(s) would NOT be present in the net ionic equation?
A) Pb2+, NO3-
B) K+, NO3-
C) K+, Pb2+
D) K+, I-
The ion(s) would NOT be present in the net ionic equation will be[tex]Pb^{2+[/tex], [tex]NO^{3-}[/tex]
Option (a) is correct.
To determine which ions would not be present in the net ionic equation, we need to identify the spectator ions. Spectator ions are the ions that do not participate in the chemical reaction and remain unchanged throughout the reaction.
The net ionic equation represents the chemical equation after removing the spectator ions. We can determine the spectator ions by comparing the initial and final compounds and identifying which ions remain the same on both sides of the reaction.
Let's analyze the given reaction:
[tex]Pb(NO_3)_2(aq) + 2KI(aq)[/tex] → [tex]PbI_2(s) + 2KNO_3(aq)[/tex]
The balanced equation shows that [tex]Pb^{2+[/tex] and [tex]2NO_3^-[/tex] ions combine with 2K+ and 2I- ions to form [tex]PbI_2(s)[/tex] and [tex]2KNO_3(aq)[/tex]. In the reaction, the [tex]NO_3^-[/tex]ions are part of both the starting compound [tex](Pb(NO_3)_2)[/tex]and the product compound [tex](KNO_3)[/tex]. Therefore, the [tex]NO_3^-[/tex] ions are spectator ions and would not be present in the net ionic equation.
Now, let's consider the answer choices:
A) [tex]Pb^{2+}, NO_3[/tex]-: [tex]NO_3^-[/tex] ions are spectator ions, so this option is correct.
B) [tex]K+, NO_3[/tex]-:[tex]NO_3^-[/tex] ions are spectator ions, so this option is correct.
C) [tex]K^+, Pb^{2+}[/tex]: Both [tex]K^+[/tex] and [tex]Pb^{2+}[/tex] ions participate in the reaction, so this option is incorrect.
D) [tex]K^+, I^-[/tex]: Both [tex]K^+[/tex] and[tex]I^-[/tex] ions participate in the reaction, so this option is incorrect.
Therefore, the correct answer is:
A) [tex]Pb^{2+}, NO_3^-[/tex]
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calculate the mass of barium in 288mg of barium arsenate, ba3(aso4)2. give your answer in mg.
The mass of barium in 288 mg of barium arsenate (Ba3(AsO4)2) is approximately 0.462 mg.
The molar mass of Ba3(AsO4)2 can be calculated by summing the atomic masses of each element in the compound. The atomic masses are as follows:
Barium (Ba): 137.33 g/mol
Arsenic (As): 74.92 g/mol
Oxygen (O): 16.00 g/mol
Molar mass of Ba3(AsO4)2:
= (3 * 137.33 g/mol) + (2 * (74.92 g/mol + 4 * 16.00 g/mol))
= 411.99 g/mol + 207.84 g/mol
= 619.83 g/mol
Now, we can calculate the mass of barium in 288 mg of barium arsenate using the molar mass and the given mass.
Mass of barium:
= (mass of barium arsenate / molar mass of barium arsenate) * molar mass of barium
= (288 mg / 619.83 g/mol) * 411.99 g/mol
= 0.462 mg
The mass of barium in 288 mg of barium arsenate (Ba3(AsO4)2) is approximately 0.462 mg.
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A voltaic cell with a basic aqueous electrolyte is based on the oxidation of Cd(s) to Cd(OH)2(s) and the reduction of MnO4–(aq) to MnO2(s).
Answer:
See explanation
Explanation:
Oxidation half equation;
3Cd(s) + 6OH^-(aq) ------> 3Cd(OH)2(s) + 6e
Reduction half equation;
2MnO4^-(aq) + 8H^-(aq) + 6e --------> 2MnO2(s) + 4H2O(l)
Balanced reaction equation;
3Cd(s) + 6OH^-(aq) + 2MnO4^-(aq) + 8H^-(aq) ------> 3Cd(OH)2(s) + 2MnO2(s)
Number of electrons transferred = 6