   # When ammonium nitrate explodes, nitrogen, steam, and oxygen gas are produced. If the explosion is carried out by heating one kilogram of ammonium nitrate sealed in a rigid bomb with a volume of one liter, what is the total pressure produced by the gases before the bomb ruptures? Assume that the reaction goes to completion and that the final temperature is 500°C (3 significant figures). ### Chemistry: Principles and Reactions

8th Edition
William L. Masterton + 1 other
Publisher: Cengage Learning
ISBN: 9781305079373

#### Solutions

Chapter
Section ### Chemistry: Principles and Reactions

8th Edition
William L. Masterton + 1 other
Publisher: Cengage Learning
ISBN: 9781305079373
Chapter 21, Problem 39QAP
Textbook Problem
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## When ammonium nitrate explodes, nitrogen, steam, and oxygen gas are produced. If the explosion is carried out by heating one kilogram of ammonium nitrate sealed in a rigid bomb with a volume of one liter, what is the total pressure produced by the gases before the bomb ruptures? Assume that the reaction goes to completion and that the final temperature is 500°C (3 significant figures).

Interpretation Introduction

Interpretation:

To calculate the total pressure produced.

Concept introduction:

Ideal gas equation is as follows:

PV=nRT

Here, P represents pressure, V represents volume, n represents number of moles, R and Trepresents gas constant and temperature respectively.

Number of moles = massmolar mass

### Explanation of Solution

Thermal decomposition of NH4NO3 reaction is as follows:

2NH4NO3(s)Δ2N2(g)+4H2O(g)+O2(g)

Two moles of ammonium nitrate produces 2 moles of N2, four moles of H2O and one moles of O2. Total 7 moles of products formed.

Molar mass of NH4NO3 is 80.04g/mol.

Calculate number ofmoles of NH4NO3 present in 1 kg NH4NO3 is,

1000g80.04g/mol=12.49mol

Therefore,

mol number of gaseous product=12.5mol2mol×7mol=43

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