Ammonium carbonate decomposes upon heating according to the balanced

Introductory Chemistry | 5th Edition | ISBN: 9780321910295 | Authors: Nivaldo J Tro

ISBN: 9780321910295 34

Solution for problem 117P Chapter 11

Introductory Chemistry | 5th Edition

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Problem 117P

PROBLEM 117P

Ammonium carbonate decomposes upon heating according to the balanced equation:

(NH4)2CO3(s) → 2 NH3(g) + CO2(g) + H2O(g)

Calculate the total volume of gas produced at 22 °C and 1.02 atm by the complete decomposition of 11.83 g of ammonium carbonate.

Step-by-Step Solution:

Step 1 of 3

Solution 117P

Given:

(NH4)2CO3(s) → 2NH3(g) + CO2(g) + H2O(g)

Mass of ammonium carbonate = 11.83 g

Pressure = 1.02 atm

Temperature = 22oC

We will have to find out the volume of gas produced.

Explanation:

From the ideal gas equation, it is known that,

PV=nRT

Or, V=(ntotal)RT/P

MW of( NH4)2CO3 (s)=96 gram/mole

moles of ( NH4)2CO3(s)= 11.83 grams of (NH4)2CO3(s)(1 mole of ( NH4)2CO3(s)

------------------------------------------------------------------------ =0.1232

(96 grams)

ntotal of gases produced=moles of NH3 + moles of CO2(g) + moles of H2O (g)

Using the stoichiometry of the balanced eq:

moles of NH3=0.1232 $\times{}$ (2)=0.2465

moles of CO2= 0.1232

moles of H2O=0.1232

ntotal of gases produced= 0.1232 +0.1232+ 0.2465=0.4929

273 +Celsius=Kelvin

273 +22 =295 Kelvin

V=(ntotal)RT/P= $\frac{(0.4929\ mole)\times{}\ (0.08216\ L\ atm\ /k\ .mole)\ \times{}\ (295\ K)}{1.02\ atm}$ = 11.71L

Thus the total volume of gas is 11.71 L

Step 2 of 3

Chapter 11, Problem 117P is Solved

Step 3 of 3

Textbook: Introductory Chemistry

Edition: 5

Author: Nivaldo J Tro

ISBN: 9780321910295

The full step-by-step solution to problem: 117P from chapter: 11 was answered by , our top Chemistry solution expert on 05/06/17, 06:45PM. Introductory Chemistry was written by and is associated to the ISBN: 9780321910295. The answer to “Ammonium carbonate decomposes upon heating according to the balanced equation:(NH4)2CO3(s) ? 2 NH3(g) + CO2(g) + H2O(g)Calculate the total volume of gas produced at 22 °C and 1.02 atm by the complete decomposition of 11.83 g of ammonium carbonate.” is broken down into a number of easy to follow steps, and 39 words. This full solution covers the following key subjects: ammonium, carbonate, decomposes, balanced, calculate. This expansive textbook survival guide covers 19 chapters, and 2046 solutions. This textbook survival guide was created for the textbook: Introductory Chemistry, edition: 5. Since the solution to 117P from 11 chapter was answered, more than 782 students have viewed the full step-by-step answer.