1. Tardigrade
  2. Question
  3. Physics
  4. Work done by 0.1 mole of a gas at 27° C. To double its volume at constant pressure, is: (R=2 cal / mol K )

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Q. Work done by $0.1$ mole of a gas at $27^{\circ} C$. To double its volume at constant pressure, is : $(R=2\, cal / mol\, K )$

AFMCAFMC 2002

Solution:

Using ideal gas equation
$P V=\mu R T$ ...(i)
where, $P$ is pressure, $V$ is volume, $R$ is gas constant and $T$ is temperature.
Also work done is
$W \equiv P \Delta V$
$=P(2 V-V)=P V$ ...(ii)
Equating Eqs. (i) and (ii), we get
$W =P V=\mu R T$
$\therefore W =0.1 \times 2 \times 300=60\, cal.$