One mole of an ideal gas at 350K is in a 2 . 0L vessel of thermally...

The first law of thermodynamics for isothermal process $Q = - W$

The $W$ for isothermal reversible process is

$W = - nRTln\dfrac{{V}_{2}}{{V}_{1}}$

$∆ S = \dfrac{Q}{T}$

$∆ {S}_{surrounding} = - nRln\dfrac{{V}_{2}}{{V}_{1}}$

$= - 1 \times 8 . 314 \times 2 . 303 \times log\dfrac{3}{2}$

$= - 3 . 37{JK}^{- 1}$

$≃ - 3{JK}^{- 1}$

The given process is mentioned as isothermal reversible process hence the $∆ {S}_{surrounding}$ is calculated.