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

Question

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) C V ( T 2- T 1) (B) - RT ln V 2 / V 1 (C) - RT ( V 2- V 1) (D) zero

Tardigrade Admin · Accepted Answer

As the expansion is done in vaccum that is in absence of p text ext so W = zero

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

$C_{V} (T_{2} - T_{1})$

$- RT ln V_{2} / V_{1}$

$- RT (V_{2} - V_{1})$

zero

As the expansion is done in vaccum that is in absence of $p_{ext}$ so

$W =$ zero

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

CV​(T2​−T1​)

−RTlnV2​/V1​

−RT(V2​−V1​)