CHEMISTRY W/WRKBK AND SMARTWORK (LL)
CHEMISTRY W/WRKBK AND SMARTWORK (LL)
5th Edition
ISBN: 9780393693447
Author: Gilbert
Publisher: NORTON
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Chapter 6, Problem 6.104QP
Interpretation Introduction

Interpretation: The mole fraction of H2 , pressure of gaseous mixture and the pressure of each constituent gas is to be calculated.

Concept introduction: The total pressure of a gaseous mixture is sum of the partial pressure of the constituent gases.

To determine: The mole fraction of H2 , pressure of gaseous mixture and the pressure of each constituent gas.

Expert Solution & Answer
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Answer to Problem 6.104QP

Solution

The pressure of H2 is 22.18 atm_ , the pressure of N2 is 5.59 atm_ , the pressure of CH4 is 22.34 atm_ , the total pressure is 50.11 atm_ and the mole fraction of H2 is 0.44_ .

Explanation of Solution

Explanation

Given

The volume of the container is 1.0 L .

The temperature is οC .

The mass of H2 is 2.00 g .

The mass of N2 is 7.00 g .

The mass of CH4 is 16.00 g .

The conversion of Celsius to Kelvin is done as,

0οC=273K

The partial pressure of H2 ( PH2 ) is calculated by the formula,

PH2=mRTMV

Where,

  • m is the mass of H2 .
  • V is the volume.
  • R is gas constant ( 0.08206Latm/molK ).
  • M is the molar mass of H2 .
  • T is temperature.

The molar mass of H2 is equal to 2.02 g/mol .

Substitute the value of m , V , R , M and T in the above equation.

PH2=2.00 g×0.08206Latm/molK×273K2.02 g/mol×1.0 L=22.18 atm_

The partial pressure of N2 ( PN2 ) is calculated by the formula,

PN2=m1RTM1V

Where,

  • m1 is the mass of N2 .
  • V is the volume.
  • R is gas constant ( 0.08206Latm/molK ).
  • M1 is the molar mass of N2 .
  • T is temperature.

The molar mass of N2 is equal to 28.02 g/mol .

Substitute the value of m1 , V , R , M1 and T in the above equation.

PN2=7.00 g×0.08206Latm/molK×273K28.02 g/mol×1.0 L=5.59 atm_

The partial pressure of CH4 ( PCH4 ) is calculated by the formula,

PCH4=m2RTM2V

Where,

  • m2 is the mass of CH4 .
  • V is the volume.
  • R is gas constant ( 0.08206Latm/molK ).
  • M2 is the molar mass of CH4 .
  • T is temperature.

The molar mass of CH4 is equal to 16.04 g/mol .

Substitute the value of m2 , V , R , M2 and T in the above equation.

PCH4=16.00 g×0.08206Latm/molK×273K16.04 g/mol×1.0 L=22.34 atm_

The pressure of the gas mixture ( Ptotal )is calculated as,

Ptotal=PH2+PN2+PCH4

Substitute the value of PH2 , PN2 and PCH4 in the above equation.

Ptotal=22.18 atm+5.59 atm+22.34 atm=50.11 atm_

The mole fraction of H2 ( χH2 )is calculated as,

χH2=PH2Ptotal

Substitute the value of PH2 and Ptotal in the above equation.

χH2=22.18 atm50.11 atm=0.44_

Conclusion

The pressure of H2 is 22.18 atm_ , the pressure of N2 is 5.59 atm_ , the pressure of CH4 is 22.34 atm_ , the total pressure is 50.11 atm_ and the mole fraction of H2 is 0.44_

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Chapter 6 Solutions

CHEMISTRY W/WRKBK AND SMARTWORK (LL)

Ch. 6.6 - Prob. 11PECh. 6.7 - Prob. 12PECh. 6.7 - Prob. 13PECh. 6.7 - Prob. 14PECh. 6.8 - Prob. 15PECh. 6.8 - Prob. 16PECh. 6.9 - Prob. 17PECh. 6 - Prob. 6.1VPCh. 6 - Prob. 6.2VPCh. 6 - Prob. 6.3VPCh. 6 - Prob. 6.4VPCh. 6 - Prob. 6.5VPCh. 6 - Prob. 6.6VPCh. 6 - Prob. 6.7VPCh. 6 - Prob. 6.8VPCh. 6 - Prob. 6.9VPCh. 6 - Prob. 6.10VPCh. 6 - Prob. 6.11VPCh. 6 - Prob. 6.12VPCh. 6 - Prob. 6.13VPCh. 6 - Prob. 6.14VPCh. 6 - Prob. 6.15VPCh. 6 - Prob. 6.16VPCh. 6 - Prob. 6.17VPCh. 6 - Prob. 6.18VPCh. 6 - Prob. 6.19VPCh. 6 - Prob. 6.20VPCh. 6 - Prob. 6.21VPCh. 6 - Prob. 6.22VPCh. 6 - Prob. 6.23QPCh. 6 - Prob. 6.24QPCh. 6 - Prob. 6.25QPCh. 6 - Prob. 6.26QPCh. 6 - Prob. 6.27QPCh. 6 - Prob. 6.28QPCh. 6 - Prob. 6.29QPCh. 6 - Prob. 6.30QPCh. 6 - Prob. 6.31QPCh. 6 - Prob. 6.32QPCh. 6 - Prob. 6.33QPCh. 6 - Prob. 6.34QPCh. 6 - Prob. 6.35QPCh. 6 - Prob. 6.36QPCh. 6 - Prob. 6.37QPCh. 6 - Prob. 6.38QPCh. 6 - Prob. 6.39QPCh. 6 - Prob. 6.40QPCh. 6 - Prob. 6.41QPCh. 6 - Prob. 6.42QPCh. 6 - Prob. 6.43QPCh. 6 - Prob. 6.44QPCh. 6 - Prob. 6.45QPCh. 6 - Prob. 6.46QPCh. 6 - Prob. 6.47QPCh. 6 - Prob. 6.48QPCh. 6 - Prob. 6.49QPCh. 6 - Prob. 6.50QPCh. 6 - Prob. 6.51QPCh. 6 - Prob. 6.52QPCh. 6 - Prob. 6.53QPCh. 6 - Prob. 6.54QPCh. 6 - Prob. 6.55QPCh. 6 - Prob. 6.56QPCh. 6 - Prob. 6.57QPCh. 6 - Prob. 6.58QPCh. 6 - Prob. 6.59QPCh. 6 - Prob. 6.60QPCh. 6 - Prob. 6.61QPCh. 6 - Prob. 6.62QPCh. 6 - Prob. 6.63QPCh. 6 - Prob. 6.64QPCh. 6 - Prob. 6.65QPCh. 6 - Prob. 6.66QPCh. 6 - Prob. 6.67QPCh. 6 - Prob. 6.68QPCh. 6 - Prob. 6.69QPCh. 6 - Prob. 6.70QPCh. 6 - Prob. 6.71QPCh. 6 - Prob. 6.72QPCh. 6 - Prob. 6.73QPCh. 6 - Prob. 6.74QPCh. 6 - Prob. 6.75QPCh. 6 - Prob. 6.76QPCh. 6 - Prob. 6.77QPCh. 6 - Prob. 6.78QPCh. 6 - Prob. 6.79QPCh. 6 - Prob. 6.80QPCh. 6 - Prob. 6.81QPCh. 6 - Prob. 6.82QPCh. 6 - Prob. 6.83QPCh. 6 - Prob. 6.84QPCh. 6 - Prob. 6.85QPCh. 6 - Prob. 6.86QPCh. 6 - Prob. 6.87QPCh. 6 - Prob. 6.88QPCh. 6 - Prob. 6.89QPCh. 6 - Prob. 6.90QPCh. 6 - Prob. 6.91QPCh. 6 - Prob. 6.92QPCh. 6 - Prob. 6.93QPCh. 6 - Prob. 6.94QPCh. 6 - Prob. 6.95QPCh. 6 - Prob. 6.96QPCh. 6 - Prob. 6.97QPCh. 6 - Prob. 6.98QPCh. 6 - Prob. 6.99QPCh. 6 - Prob. 6.100QPCh. 6 - Prob. 6.101QPCh. 6 - Prob. 6.102QPCh. 6 - Prob. 6.103QPCh. 6 - Prob. 6.104QPCh. 6 - Prob. 6.105QPCh. 6 - Prob. 6.106QPCh. 6 - Prob. 6.107QPCh. 6 - Prob. 6.108QPCh. 6 - Prob. 6.109QPCh. 6 - Prob. 6.110QPCh. 6 - Prob. 6.111QPCh. 6 - Prob. 6.112QPCh. 6 - Prob. 6.113QPCh. 6 - Prob. 6.114QPCh. 6 - Prob. 6.115QPCh. 6 - Prob. 6.116QPCh. 6 - Prob. 6.117QPCh. 6 - Prob. 6.118QPCh. 6 - Prob. 6.119QPCh. 6 - Prob. 6.120QPCh. 6 - Prob. 6.121QPCh. 6 - Prob. 6.122QPCh. 6 - Prob. 6.123QPCh. 6 - Prob. 6.124QPCh. 6 - Prob. 6.125QPCh. 6 - Prob. 6.126QPCh. 6 - Prob. 6.127QPCh. 6 - Prob. 6.128QPCh. 6 - Prob. 6.129QPCh. 6 - Prob. 6.130QPCh. 6 - Prob. 6.131QPCh. 6 - Prob. 6.132QPCh. 6 - Prob. 6.133QPCh. 6 - Prob. 6.134QPCh. 6 - Prob. 6.135QPCh. 6 - Prob. 6.136QPCh. 6 - Prob. 6.137QPCh. 6 - Prob. 6.138QPCh. 6 - Prob. 6.139QPCh. 6 - Prob. 6.140QPCh. 6 - Prob. 6.141QPCh. 6 - Prob. 6.142QPCh. 6 - Prob. 6.143QPCh. 6 - Prob. 6.144QPCh. 6 - Prob. 6.145QPCh. 6 - Prob. 6.146QPCh. 6 - Prob. 6.147QPCh. 6 - Prob. 6.148QPCh. 6 - Prob. 6.149APCh. 6 - Prob. 6.150APCh. 6 - Prob. 6.151APCh. 6 - Prob. 6.152APCh. 6 - Prob. 6.153APCh. 6 - Prob. 6.154APCh. 6 - Prob. 6.155APCh. 6 - Prob. 6.156APCh. 6 - Prob. 6.157APCh. 6 - Prob. 6.158APCh. 6 - Prob. 6.159APCh. 6 - Prob. 6.160APCh. 6 - Prob. 6.161APCh. 6 - Prob. 6.162APCh. 6 - Prob. 6.163APCh. 6 - Prob. 6.164APCh. 6 - Prob. 6.165APCh. 6 - Prob. 6.166APCh. 6 - Prob. 6.167APCh. 6 - Prob. 6.168APCh. 6 - Prob. 6.169APCh. 6 - Prob. 6.170APCh. 6 - Prob. 6.171APCh. 6 - Prob. 6.172APCh. 6 - Prob. 6.173APCh. 6 - Prob. 6.174APCh. 6 - Prob. 6.175APCh. 6 - Prob. 6.176APCh. 6 - Prob. 6.177APCh. 6 - Prob. 6.178APCh. 6 - Prob. 6.179APCh. 6 - Prob. 6.180APCh. 6 - Prob. 6.181APCh. 6 - Prob. 6.182AP
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