The entropy change involved in the isothermal reversible expansion of 2 moles of an ideal gas from a volume of 10  dm3 to a volume of 100  dm3  at 270C  is

Entropy change for n moles of isothermal expansion of an ideal gas from volume V1 to volume V2  is∆S=2.303 nR log V2V1 Hence, n = 2, V2 = 100 dm3,  V1 = 10 dm3 =2.303 × 2 × 8.314 log 10010 = 38.296 J mol-1 K-1