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Problem: Ammonium nitrate decomposes explosively upon heating according to the following balanced equation: 2 NH4NO3(s) → 2 N2(g) + O2(g) + 4 H2O(g). Calculate the total volume of gas (at 126˚C and 751 mmHg) produced by the complete decomposition of 1.56 kg of ammonium nitrate.

FREE Expert Solution

Recall the Ideal Gas Law equation:

PV=nRT

Step 1. mol reactant

molar mass of NH4NO3 = 80.043 g/mol

1.56 kg NH4NO3×103 g1 kg×1 mol NH4NO396.09 g NH4NO3=16.2 mol

Step 2. volume of each product

PV=nRTPVP=nRTPV=nRTP

P = 751 mmHg = 0.988 atm
T = 126˚C + 273.15 = 399.15 K
R = 0.08206 (L·atm)/(mol·K)

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Problem Details

Ammonium nitrate decomposes explosively upon heating according to the following balanced equation: 2 NH4NO3(s) → 2 N2(g) + O2(g) + 4 H2O(g). Calculate the total volume of gas (at 126˚C and 751 mmHg) produced by the complete decomposition of 1.56 kg of ammonium nitrate.

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