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± Problem 10.75 with feedback Ammonium nitrate can decompose explosively when he

ID: 493999 • Letter: #

Question

± Problem 10.75 with feedback

Ammonium nitrate can decompose explosively when heated according to the following equation:

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

Part A

How many liters of gas would be formed at 505 C and 1.00 atm pressure from an explosion of 570 gof NH4NO3?

Express the volume in liters to three significant digits.

± Problem 10.75 with feedback

Ammonium nitrate can decompose explosively when heated according to the following equation:

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

You may want to reference ( pages 372 - 375) Section 10.4 while completing this problem.

Part A

How many liters of gas would be formed at 505 C and 1.00 atm pressure from an explosion of 570 gof NH4NO3?

Express the volume in liters to three significant digits.

Explanation / Answer

2NH4NO3(s) --------------> 2N2(g) + 4H2O(g) + O2(g)

according to balanced reaction

2 x 80.043 g NH4NO3 forms 7 (2 + 4 + 1) moles gas

570 g NH4NO3 forms 570 x 7 / 2 x 80.043 = 3990 / 160.086 = 24.92 moles gas

convert moles to volume in L

PV = nRT

V = (nRT /P)

n = 24.92 , R = 0.0821 L.atm / mol. K , T = 5050C = 778 K , P = 1.0 atm

V = (24.92 x 0.0821 x 778 / P)

V = 1591.7 L

V = 1590 L