Five moles of an ideal gas at 1 bar and 298 K is expanded into vacuum to double the volume. The work done is

Five moles of an ideal gas at 1 bar and 298 K is expanded into vacuum to double the volume. The work done is

A
$- R T (V_{2} - V_{1})$
B
zero
C
$- R T in V_{2} / V_{1}$
D
$C_{2} (T_{2} - T_{1})$

Solution:

$W = - P_{ext} Δ V$

In expansion against vacuum $P_{e x t} = 0$

So work done is zero

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