   Chapter 13, Problem 92QAP ### 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
20 views

# If water is added to magnesium nitride, ammonia gas is produced when the mixture is heated.msp;  Mg 3 N 2 ( s ) + 3H 2 O ( l )   3MgO ( s ) + 2NH 3 ( g ) 1 0. 3 g of magnesium nitride is treated with water. what volume of ammonia gas would be collected at 24  ° C and 752 mm Hg ?

Interpretation Introduction

Interpretation:

The volume of ammonia gas 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

Given Information:

The mass of magnesium nitride is 10.3 g, temperature is 24 C and pressure is 752 mm Hg.

Calculation:

The balanced chemical reaction is as follows:

Mg3N2(s)+3H2O(l)3MgO(s)+2NH3(g)

To calculate the volume of ammonia gas, number of moles of magnesium nitride and ammonia gas should be calculated first.

n=mM

Molar mass of magnesium nitride is 100.95 g/mol thus,

n=10.3 g100.95 g/mol=0.102 mol

From the balanced chemical reaction, 1 mol of magnesium nitride gives 2 mol of ammonia gas thus, 0.102 mol will produce 0.204 mol.

The volume of ammonia gas can be calculated using the ideal gas equation as follows:

V=nRTP

Convert the given temperature from C to K:

0 C=273

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