Under what conditions will a pure sample of an ideal gas not only exhibit a pressure of 1 atm but also a concentration of $1 m o l l i t r e^{- 1}$ ?
$[R = 0.082$ litre atm $m o l^{- 1} K^{- 1}]$

At S.T.P.

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When V=22.42 L

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When T=12 K

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Impossible under any condition

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Solution

The correct option is C When T=12 K
We know,
$P V = n R T$
$⟹ P = \frac{n}{V} R T$
As, $\frac{n}{V} = C$ ,
$⟹ P = C R T$
Now,
$T = \frac{P}{R T} = \frac{1}{1 \times 0.0821} = 12 K$

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