Chemistry: An Atoms-Focused Approach
Chemistry: An Atoms-Focused Approach
14th Edition
ISBN: 9780393912340
Author: Thomas R. Gilbert, Rein V. Kirss, Natalie Foster
Publisher: W. W. Norton & Company
Question
Book Icon
Chapter 10, Problem 10.147QA
Interpretation Introduction

To calculate:

a) The volume of N2 produced at 170C and 1.00 atm  if the denitrification process were complete.

b) The volume of CO2 produced

c) The density of the gas mixture

Expert Solution & Answer
Check Mark

Answer to Problem 10.147QA

Solution:

a) 38.4 L N2

b) 192 L CO2

c) 1.74gL

Explanation of Solution

1) Concept:

The moles of NO3- can be calculated using its molar mass. The moles of N2and CO2 gases can be calculated using the stoichiometry of the balanced reaction.

Using the ideal gas law, the volume of each gas can be calculated.

The total mass of the gases and the total volume of the gas can be used to calculate the density of the gas mixture.

2) Formula:

PV=nRT

3) Given:

i) mass of NO3-=200.0 g

ii) T=170C=17+273=290 K

iii) P=1.00 atm

iv) Balanced reaction: 2 NO3- aq+5 COg+2H+aqN2g+H2O l+5 CO2g

4) Calculations:

Calculating the moles of NO3- and then moles of N2 gas:

From the balanced reaction, it is seen that 2 moles of NO3- produce 1 mole of N2 gas.

200.0 g NO3- × 1 mol NO3-62.004 g NO3-  × 1 mol N22 mol NO3-=1.6128 mol N2

a) Calculating the volume of N2 gas:

PV=nRT

V=nRTP

V= 1.6128 mol0.08206 L.atmK.mol290 K(1.00 atm)=38.38 L N2

The volume of N2 produced is 38.4 L

b) Calculating the volume of CO2 gas produced:

From the balanced reaction, it is seen that 2 moles of NO3- produce 5 mole of CO2 gas.

200.0 g NO3- × 1 mol NO3-62.004 g NO3-  × 5 mol CO22 mol NO3-=8.064  mol CO2

PV=nRT

V=nRTP

V= 8.064 mol0.08206 L.atmK.mol290 K(1.00 atm)=191.9  L CO2

The volume of CO2 produced is 192  L

c) Calculating the density of the gas mixture:

At 170C and 1.00 atm , moles of N2 and CO2 gases are known.

Mass of N2 gas =

1.6128 mol N2× 28.014 g N21 mol N2=45.18 g N2

Mass of CO2 gas =

8.064 mol CO2× 44.009 g CO21 mol CO2=354.89 g CO2

Total mass of gases =45.18g+354.89 g=400.07 g

Total volume of gases 38.4 L+192 L=230.4 L

Density of gas mixture = 400.07g 230.4 L=1.736gL

Thus, the density of the gas mixture is 1.74gL

Conclusion:

The moles of the gases are calculated using the stoichiometry of the balanced reaction. The volumes of the gases are calculated using the ideal gas equation and the density of the gas mixture is calculated.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Chapter 10 Solutions

Chemistry: An Atoms-Focused Approach

Ch. 10 - Prob. 10.13VPCh. 10 - Prob. 10.14VPCh. 10 - Prob. 10.15VPCh. 10 - Prob. 10.16VPCh. 10 - Prob. 10.17VPCh. 10 - Prob. 10.18VPCh. 10 - Prob. 10.19VPCh. 10 - Prob. 10.20VPCh. 10 - Prob. 10.21QACh. 10 - Prob. 10.22QACh. 10 - Prob. 10.23QACh. 10 - Prob. 10.24QACh. 10 - Prob. 10.25QACh. 10 - Prob. 10.26QACh. 10 - Prob. 10.27QACh. 10 - Prob. 10.28QACh. 10 - Prob. 10.29QACh. 10 - Prob. 10.30QACh. 10 - Prob. 10.31QACh. 10 - Prob. 10.32QACh. 10 - Prob. 10.33QACh. 10 - Prob. 10.34QACh. 10 - Prob. 10.35QACh. 10 - Prob. 10.36QACh. 10 - Prob. 10.37QACh. 10 - Prob. 10.38QACh. 10 - Prob. 10.39QACh. 10 - Prob. 10.40QACh. 10 - Prob. 10.41QACh. 10 - Prob. 10.42QACh. 10 - Prob. 10.43QACh. 10 - Prob. 10.44QACh. 10 - Prob. 10.45QACh. 10 - Prob. 10.46QACh. 10 - Prob. 10.47QACh. 10 - Prob. 10.48QACh. 10 - Prob. 10.49QACh. 10 - Prob. 10.50QACh. 10 - Prob. 10.51QACh. 10 - Prob. 10.52QACh. 10 - Prob. 10.53QACh. 10 - Prob. 10.54QACh. 10 - Prob. 10.55QACh. 10 - Prob. 10.56QACh. 10 - Prob. 10.57QACh. 10 - Prob. 10.58QACh. 10 - Prob. 10.59QACh. 10 - Prob. 10.60QACh. 10 - Prob. 10.61QACh. 10 - Prob. 10.62QACh. 10 - Prob. 10.63QACh. 10 - Prob. 10.64QACh. 10 - Prob. 10.65QACh. 10 - Prob. 10.66QACh. 10 - Prob. 10.67QACh. 10 - Prob. 10.68QACh. 10 - Prob. 10.69QACh. 10 - Prob. 10.70QACh. 10 - Prob. 10.71QACh. 10 - Prob. 10.72QACh. 10 - Prob. 10.73QACh. 10 - Prob. 10.74QACh. 10 - Prob. 10.75QACh. 10 - Prob. 10.76QACh. 10 - Prob. 10.77QACh. 10 - Prob. 10.78QACh. 10 - Prob. 10.79QACh. 10 - Prob. 10.80QACh. 10 - Prob. 10.81QACh. 10 - Prob. 10.82QACh. 10 - Prob. 10.83QACh. 10 - Prob. 10.84QACh. 10 - Prob. 10.85QACh. 10 - Prob. 10.86QACh. 10 - Prob. 10.87QACh. 10 - Prob. 10.88QACh. 10 - Prob. 10.89QACh. 10 - Prob. 10.90QACh. 10 - Prob. 10.91QACh. 10 - Prob. 10.92QACh. 10 - Prob. 10.93QACh. 10 - Prob. 10.94QACh. 10 - Prob. 10.95QACh. 10 - Prob. 10.96QACh. 10 - Prob. 10.97QACh. 10 - Prob. 10.98QACh. 10 - Prob. 10.99QACh. 10 - Prob. 10.100QACh. 10 - Prob. 10.101QACh. 10 - Prob. 10.102QACh. 10 - Prob. 10.103QACh. 10 - Prob. 10.104QACh. 10 - Prob. 10.105QACh. 10 - Prob. 10.106QACh. 10 - Prob. 10.107QACh. 10 - Prob. 10.108QACh. 10 - Prob. 10.109QACh. 10 - Prob. 10.110QACh. 10 - Prob. 10.111QACh. 10 - Prob. 10.112QACh. 10 - Prob. 10.113QACh. 10 - Prob. 10.114QACh. 10 - Prob. 10.115QACh. 10 - Prob. 10.116QACh. 10 - Prob. 10.117QACh. 10 - Prob. 10.118QACh. 10 - Prob. 10.119QACh. 10 - Prob. 10.120QACh. 10 - Prob. 10.121QACh. 10 - Prob. 10.122QACh. 10 - Prob. 10.123QACh. 10 - Prob. 10.124QACh. 10 - Prob. 10.125QACh. 10 - Prob. 10.126QACh. 10 - Prob. 10.127QACh. 10 - Prob. 10.128QACh. 10 - Prob. 10.129QACh. 10 - Prob. 10.130QACh. 10 - Prob. 10.131QACh. 10 - Prob. 10.132QACh. 10 - Prob. 10.133QACh. 10 - Prob. 10.134QACh. 10 - Prob. 10.135QACh. 10 - Prob. 10.136QACh. 10 - Prob. 10.137QACh. 10 - Prob. 10.138QACh. 10 - Prob. 10.139QACh. 10 - Prob. 10.140QACh. 10 - Prob. 10.141QACh. 10 - Prob. 10.142QACh. 10 - Prob. 10.143QACh. 10 - Prob. 10.144QACh. 10 - Prob. 10.145QACh. 10 - Prob. 10.146QACh. 10 - Prob. 10.147QACh. 10 - Prob. 10.148QACh. 10 - Prob. 10.149QACh. 10 - Prob. 10.150QA
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
Chemistry
Chemistry
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Cengage Learning
Text book image
Chemistry
Chemistry
ISBN:9781259911156
Author:Raymond Chang Dr., Jason Overby Professor
Publisher:McGraw-Hill Education
Text book image
Principles of Instrumental Analysis
Chemistry
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Cengage Learning
Text book image
Organic Chemistry
Chemistry
ISBN:9780078021558
Author:Janice Gorzynski Smith Dr.
Publisher:McGraw-Hill Education
Text book image
Chemistry: Principles and Reactions
Chemistry
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:Cengage Learning
Text book image
Elementary Principles of Chemical Processes, Bind...
Chemistry
ISBN:9781118431221
Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:WILEY