Kinetic Theory Of Gases Question 151
Question: A vessel containing 1 mol of $ O _{2} $ gas (molar mass 32) at a temperature T. The pressure of the gas is P. An identical vessel containing 1 mol of $ He $ gas (molar mass 4) at temperature 2T has a pressure of
Options:
A) P/8
B) 2P
C) 3P
D) 8P
Show Answer
Answer:
Correct Answer: B
Solution:
[b] $ PV=nRT $
$ \
Therefore $ $ P _{1}V=n _{1}RT _{1} $ and $ P _{2}V=n _{2}RT _{2} $
$ \
Therefore $ $ \frac{P _{2}}{P _{1}}=\frac{n _{2}}{n _{1}}.\frac{T _{2}}{T _{1}}\Rightarrow ,P _{2}=P\times 1\times 2=2P $
BETA
