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# Solved: Ammonium nitrate decomposes explosively upon

ISBN: 9780321910295 34

## Solution for problem 118P Chapter 11

Introductory Chemistry | 5th Edition

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Problem 118P

PROBLEM 118P

Ammonium nitrate decomposes explosively upon heating according to the balanced equation:

2 NH4NO3(s) → 2N2(g) + O2(g) + 4 H2O(g)

Calculate the total volume of gas (at 25 °C and 748 mm Hg) produced by the complete decomposition of 1.55 kg of ammonium nitrate.

Step-by-Step Solution:

Solution 118P

Here, we are going to calculate the total volume of gas produced by the complete decomposition of 1.55 kg of ammonium nitrate.

Step 1: Given reaction is

2 NH4NO3(s) → 2N2(g) + O2(g) + 4 H2O(g)

2.0 mol         1.0 mol       1.0 mol    4 mol

Thus, 2.0 mol of NH4NO3(s) produces = 1.0 mol +1.0 mol + 4.0 mol = 7.0 mol gas

Step 2: Calculation of the total amount of gas.

Total mass of NH4NO3(s) = 1.55 kg = 1550 g

Molar mass of NH4NO3(s) = 80.04g/mol

Amount of NH4NO3(s) = Mass/molar mass = 1550 g/  80.04g/mol = 19.36 mol

Thus 19.36/2 mol or 9.68 mol of NH4NO3(s) produces = 7.0 x 9.68 mol gas = 67.778 mol

Therefore, 67.778 mol of total gases produced by 1.55 kg of ammonium nitrate

Step 3 of 3

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Solved: Ammonium nitrate decomposes explosively upon

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