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12.Kinetic Theory of Gases
normal
A vessel contains $1\, mole$ of $O_2$ gas (molar mass $32$) at a temperature $T$. The pressure of the gas is $P$. An identical vessel containing one mole of $He$ gas (molar mass $4$) at a temperature $2T$ has a pressure of
A
$P/8$
B
$P$
C
$2P$
D
$8P$
Solution
By $\mathrm{PV}=\mathrm{nRT}$
$\Rightarrow \mathrm{P} \propto \mathrm{T}$
$\frac{P_{1}}{P_{2}}=\frac{T_{1}}{T_{2}} \Rightarrow \frac{P}{P_{2}}=\frac{T}{2 T}$
$\Rightarrow P_{2}=2 P$
Standard 11
Physics
