General Chemistry
General Chemistry
4th Edition
ISBN: 9781891389603
Author: Donald A. McQuarrie, Peter A. Rock, Ethan B. Gallogly
Publisher: University Science Books
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Chapter 12, Problem 12.27P
Interpretation Introduction

Interpretation:

Mass of metallic copper formed along with the concentration of various ions after the completion of reaction has to be calculated.

Concept Introduction:

The formula to evaluate moles from molarity is given as follows:

  n=MV

Here,

M denotes molarity.

n denotes number of moles.

V denotes volume.

Expert Solution & Answer
Check Mark

Answer to Problem 12.27P

Mass of copper formed is 3.9319 g. Concentration of SO42 and Zn2+.is 0.165 mol/L and 1.0584 mol/L respectively.

Explanation of Solution

The conversion factor to convert liters to milliliters is as follows:

  1 L=1000 mL

Hence convert 375 mL to L as follows:

  Volume=(375 mL)(1 L1000 mL)=0.375 L

The formula to convert mass in gram to moles is as follows:

  Number of moles=Given massmolar mass        (2)

Substitute 30 g for mass and 65.38 g/mol for molar mass to calculate the number of moles of zinc in equation (2).

  Number of moles=30 g65.38 g/mol=0.458785 mol

The formula to evaluate moles from molarity is given as follows:

  n=MV        (1)

Substitute 0.165 mol/L for M and 0.375 L for V in equation (1) to calculate moles of CuSO4.

  n=(0.165 mol/L)(0.375 L)=0.061875 mol

The balanced chemical reaction is given as follows:

  Zn(s)+CuSO4(aq)ZnSO4(aq)+Cu(s)        (2)

In accordance with stoichiometry of the balanced equation (2), one mole of CuSO4 combines with one mole metallic zinc, hence, as CuSO4 available is only 0.061875 mol it must be the limiting reagent. Thus moles of Cu(s) formed is 0.061875 mol.

The formula to convert mass in gram to moles is as follows:

  Mass=(Number of moles)(Molar mass)        (3)

Substitute 0.061875 mol for moles and 63.546 g/mol for molar mass of Cu(s) in equation (3).

  Mass=(0.061875 mol)(63.546 g/mol)=3.9319 g

Since all the Cu2+ present in CuSO4 is consumed and is converted to precipitate Cu, Ionic species present in solution after reaction include SO42 and Zn2+.

Moles of SO42 present in 0.165 mol/L CuSO4 is calculated as follows:

  Moles of SO42=(0.375 L)(0.165 mol CuSO41 L)(1 mol SO421 mol CuSO4)=0.061875 mol

Thus, concentration of SO42 is calculated as follows:

  Concentration of SO42=0.061875 mol0.375 L=0.165 mol/L

Thus, Zn2+ present in excess is calculated as follows:

  Excess moles of Zn=Total moles of ZnMoles of Zn reacted=(0.458785 mol Zn)(0.061875 mol)=0.39691 mol Zn

Hence, concentration of Zn2+ present after the reaction is calculated as follows:

  Concentration of Zn2+=(0.39691 mol)0.375 L=1.0584 mol/L

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Chapter 12 Solutions

General Chemistry

Ch. 12 - Prob. 12.11PCh. 12 - Prob. 12.12PCh. 12 - Prob. 12.13PCh. 12 - Prob. 12.14PCh. 12 - Prob. 12.15PCh. 12 - Prob. 12.16PCh. 12 - Prob. 12.17PCh. 12 - Prob. 12.18PCh. 12 - Prob. 12.19PCh. 12 - Prob. 12.20PCh. 12 - Prob. 12.21PCh. 12 - Prob. 12.22PCh. 12 - Prob. 12.23PCh. 12 - Prob. 12.24PCh. 12 - Prob. 12.25PCh. 12 - Prob. 12.26PCh. 12 - Prob. 12.27PCh. 12 - Prob. 12.28PCh. 12 - Prob. 12.29PCh. 12 - Prob. 12.30PCh. 12 - Prob. 12.31PCh. 12 - Prob. 12.32PCh. 12 - Prob. 12.35PCh. 12 - Prob. 12.36PCh. 12 - Prob. 12.37PCh. 12 - Prob. 12.38PCh. 12 - Prob. 12.39PCh. 12 - Prob. 12.40PCh. 12 - Prob. 12.41PCh. 12 - Prob. 12.42PCh. 12 - Prob. 12.43PCh. 12 - Prob. 12.44PCh. 12 - Prob. 12.45PCh. 12 - Prob. 12.46PCh. 12 - Prob. 12.47PCh. 12 - Prob. 12.48PCh. 12 - Prob. 12.49PCh. 12 - Prob. 12.50PCh. 12 - Prob. 12.51PCh. 12 - Prob. 12.52PCh. 12 - Prob. 12.53PCh. 12 - Prob. 12.54PCh. 12 - Prob. 12.55PCh. 12 - Prob. 12.56PCh. 12 - Prob. 12.58PCh. 12 - Prob. 12.59PCh. 12 - Prob. 12.60PCh. 12 - Prob. 12.61PCh. 12 - Prob. 12.62PCh. 12 - Prob. 12.63PCh. 12 - Prob. 12.64PCh. 12 - Prob. 12.65PCh. 12 - Prob. 12.66PCh. 12 - Prob. 12.67PCh. 12 - Prob. 12.68PCh. 12 - Prob. 12.69PCh. 12 - Prob. 12.70PCh. 12 - Prob. 12.71PCh. 12 - Prob. 12.72PCh. 12 - Prob. 12.73PCh. 12 - Prob. 12.74PCh. 12 - Prob. 12.75PCh. 12 - Prob. 12.76PCh. 12 - Prob. 12.77PCh. 12 - Prob. 12.78PCh. 12 - Prob. 12.79PCh. 12 - Prob. 12.80PCh. 12 - Prob. 12.81PCh. 12 - Prob. 12.82PCh. 12 - Prob. 12.83PCh. 12 - Prob. 12.84PCh. 12 - Prob. 12.85P
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