   Chapter 13, Problem 113AP ### 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

# ulfur trioxide, 8O 3 is produced in enormous quantities each year for use in the synthesis of sulfuric acid.msp;  S ( s ) + O 2 ( g )   SO 2 ( g ) 2SO 2 ( g ) + O 2 ( g )   2SO 3 ( g ) at volume of O 2 ( g ) at 35 0.   ° C and a pressure of 5 . 25 atm is needed In completely convert 5 .00  g of sulfur to sulfur trioxide?

Interpretation Introduction

Interpretation:

The volume of oxygen gas needed to completely convert given mass of sulfur to sulfur trioxide should be calculated.

Concept Introduction:

According to ideal gas equation:

PV=nRT

Here, P is pressure, V is volume, n is number of moles, R is Universal gas constant and T is temperature.

The value of Universal gas constant can be taken as 0.082 L atm K1 mol1.

Mass of gas can be calculated from number of moles and molar mass as follows:

m=n×M

Here, n is number of moles, m is mass and M is molar mass.

Explanation

Calculation:

The balanced chemical reactions are as follows:

S(s)+O2(g)SO2(g)

2SO2(g)+O2(g)2SO3(g)

The number of moles of sulfur can be calculated as follows:

n=mM

Molar mass of sulfur is 32.065 g/mol thus,

n=5.00 g32.065 g/mol=0.156 mol

From the given two reactions, overall reaction can be calculated as follows:

2×(S(s)+O2(g)SO2(g))

2SO2(g)+O2(g)2SO3(g)_

2S(s)+3O2(g)2SO3(g)

From the balanced chemical reaction, 2 mol of sulfur gives 2 mol of sulfur trioxide thus, 0

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