One mole of an ideal gas at 25°C is subjected to expand reversibly ten times of its initial volume. The change in entropy of expansion is

Question

One mole of an ideal gas at 25°C is subjected to expand reversibly ten times of its initial volume. The change in entropy of expansion is (A) 19.15 JK-1 mol-1 (B) 16.15 JK-1 mol-1 (C) 22.15 JK-1 mol-1 (D) None

Tardigrade Admin · Accepted Answer

Δ S=(q/T)=(2.303nRT/T)log(V2/V1) =2.303×1×8.314 log 10 =19.15JK -1 mol-1

Q. One mole of an ideal gas at $25° C$ is subjected to expand reversibly ten times of its initial volume. The change in entropy of expansion is

$19.15 J K^{- 1} m o l^{- 1}$

$16.15 J K^{- 1} m o l^{- 1}$

$22.15 J K^{- 1} m o l^{- 1}$

None

$Δ S = \frac{q}{T} = \frac{2.303 n RT}{T} l o g \frac{V _{2}}{V _{1}}$
$= 2.303 \times 1 \times 8.314 l o g 10$
$= 19.15 J K^{- 1} m o l^{- 1}$

Q. One mole of an ideal gas at 25°C is subjected to expand reversibly ten times of its initial volume. The change in entropy of expansion is

19.15JK−1mol−1

16.15JK−1mol−1

22.15JK−1mol−1