Question

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

• A. At S.T.P.
• B. When V=22.42 L
• C. When T=12 K
• D. Impossible under any condition

Answer 1

The correct option is C When T=12 K

We know,

$PV=nRT$
$⟹P=\frac{n}{V}RT$

As,$\frac{n}{V}=C$,

$⟹P=CRT$

Now,

$T=\frac{P}{RT}=\frac{1}{1\times 0.0821}=12K$