   Chapter 13, Problem 141AP ### Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425

#### Solutions

Chapter
Section ### Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425
Textbook Problem
1 views

# onsider the following unbalanced chemical equation:msp;  Cu 2 S ( s ) + O 2 ( s )   Cu 2 O ( s ) + SO 2 ( g ) at volume of oxygen gas, measured at 27 . 5  ° C and 0. 998 atm, is required to react with 25 g of copper(l) sulfide? What volume of sulfur dioxide gas is produced under the same conditions?

Interpretation Introduction

Interpretation:

To determine the volume of oxygen gas consumed and volume of sulphur dioxide gas produced with the given amount of copper(I) sulfide.

Concept Introduction:

To calculate the moles of reactant consumed and product formed we have to follow the mole concept and the given balance equation. The volume of gas can be calculated with the help of ideal gas equation at the given conditions of temperature and pressure.

Ideal gas equation: PV = nRT.

Explanation

Given information:

P = 0.998 atm

T = 27.5 °C = 27.5 + 273.1 = 300.65 K

n = 0.157 moles

R = gas constant = 0.0821 L.atm /K. mol

Cu2S(s)+O2(g)Cu2O(s)+SO2(g)

According to balance equation, the mole ratio of Cu2 S with O2 and SO2 is 1: 1 so moles of Cu2 S equals to moles of O2 and SO2. The given pressure and temperature conditions will be used to calculate the volume of given gases.

Molar mass of copper(I) sulfide = 159.16 g/mol

Number of moles of copper(I) sulfide = MassMolar mass=25 g159.16 g/mol=0.157 moles

According to given balance equation, 1 mole of Cu2 S reacts with 1 moles of O2 gas. Hence,

0.157 moles of Cu2×1 mole of O21 mole of Cu2S=0.157 moles of O2

According to given balance equation, 1 mole of Cu2 S produces with 1 moles of SO2 gas

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