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Question

A 100 dm3 flask contains 10 moles each of N2 and H2 at 777 K. After equilibrium was reached, the partial pressure of H2 was 1 atm. At this point, 5 litres of H2O(I) was injected and the gas mixture was cooled to 298 K. Find out the pressure of the gaseous mixture left.

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Solution

N2+3H22NH3
At t=0; 1010
At t=teq (10x)(103x)2x
Given,
PH2=1atm

PV=nRT
nH2=PVRT=1×1000.0821×777=1.74moles

103x=1.74

x=2.75moles

nN2=(10x)=7.25moles

NH3+H2ONH4OH (completely dissolved)

Volume remaining=1005=95litres

Total number of moles=nH2+nN2=1.74+7.25=8.99moles
PV=nRT

Substituting the values we get P=2.26atm
P=2atm



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