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Question

The stopcock connecting the two bulbs of volume 5 litre and 10 litre containing an ideal gas at 9 atm and 6 atm respectively. What is the final pressure if the temprature remains the same?


A
5 atm
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B
4 atm
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C
8 atm
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D
7 atm
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Solution

The correct option is D 7 atm
Given, P1=6 atm and V1=10 L
P2=9 atm and V2=5 L
Total volume =V1+V2=10 L+5 L=15 L
The ideal gas equation when the valve is opened is as follows :
Pf(V1+V2)=(n1+n2)RT
n1=P1V1RT and n2=P2V2RT
Pf(V1+V2)=(P1V1RT+P2V2RT)RT
Pf×15 L=6 atm×10 L+9 atm×5 L
Pf=105 atm L15 L
Pf=7 atm​​​​​​

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