One mole of an ideal gas at 350 K is in a 2.0 L vessel of thermally conducting walls, which are in contact with the surroundings. It undergoes isothermal reversible expansion from 2.0 L to 3.0 L against a constant pressure of 4 atm. The change in entropy

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Solution

Q.
One mole of an ideal gas at 350 K is in a 2.0 L vessel of thermally conducting walls, which are in contact with the surroundings. It undergoes isothermal reversible expansion from 2.0 L to 3.0 L against a constant pressure of 4 atm. The change in entropy of the surroundings $(ΔS)$ is ______ ${JK}^{- 1}$ (Nearest integer) Given: R = 8.314 J $K^{- 1}$ ${mol}^{- 1}$ [2023]

Ans.
(3)

$Δ_{system} = nR ln (\frac{V_{2}}{V_{1}})$

$= 1 \times 8.314 ln (\frac{3}{2})$

$Δ_{system} = 3.37$

$Δ_{surr} = 3.37 \approx 3$

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