To calculate the amount of work done in joules during reversible isothermal expansion of an ideal gas, the volume must be expressed in:

Question

To calculate the amount of work done in joules during reversible isothermal expansion of an ideal gas, the volume must be expressed in: (A)  m3 only (B)  dm3 only (C)  cm3 only (D) any of these

Tardigrade Admin · Accepted Answer

As we know that, Work done (W)=2.303 n R T log (V2/V1) Hence, V1 and V2 are in ratio in the relation. So, unit may be expressed in any one of m 3, dm 3 or cm 3

Q. To calculate the amount of work done in joules during reversible isothermal expansion of an ideal gas, the volume must be expressed in:

$m^{3}$ only

$d m^{3}$ only

$c m^{3}$ only

any of these

As we know that,
Work done $(W) = 2.303 n RT lo g \frac{V _{2}}{V _{1}}$
Hence, $V_{1}$ and $V_{2}$ are in ratio in the relation. So, unit may be expressed in any one of $m^{3}, d m^{3}$ or $c m^{3}$

Q. To calculate the amount of work done in joules during reversible isothermal expansion of an ideal gas, the volume must be expressed in:

m3 only

dm3 only

cm3 only

any of these

As we know that, Work done (W)=2.303nRTlogV1​V2​​ Hence, V1​ and V2​ are in ratio in the relation. So, unit may be expressed in any one of m3,dm3 or cm3

$m^{3}$ only

$d m^{3}$ only

$c m^{3}$ only

As we know that,
Work done $(W) = 2.303 n RT lo g \frac{V _{2}}{V _{1}}$
Hence, $V_{1}$ and $V_{2}$ are in ratio in the relation. So, unit may be expressed in any one of $m^{3}, d m^{3}$ or $c m^{3}$