Heat and Thermodynamics 4 Question 24

26. 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 the gas (molar mass 4) at a temperature $2 T$ has a pressure of

(1997, 1M)

(a) $p / 8$

(b) $p$

(c) $2 p$

(d) $8 p$

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Answer:

Correct Answer: 26. (c)

Solution:

$$ \begin{aligned} p V & =n R T \\ p & =\frac{n R T}{V} \quad \text { or } \quad p \propto T \end{aligned} $$

or

if $V$ and $n$ are same. Therefore, if $T$ is doubled, pressure also becomes two times i.e. $2 p$.



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