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 (the pressure figure printed alongside is a redundant distractor and does not enter the reversible calculation). The change in entropy of the surroundings is ______ J K⁻¹ (Nearest integer).
Given : R = 8.314 J K⁻¹ mol⁻¹.
Given : R = 8.314 J K⁻¹ mol⁻¹.
Answer: 3
Solution
For the isothermal reversible expansion of one mole of an ideal gas the entropy gained by the gas is
Because the process is reversible the total entropy change of the universe is zero, so the surroundings lose exactly what the gas gains, . To the nearest integer the magnitude of the entropy change of the surroundings is 3 J K.
Because the process is reversible the total entropy change of the universe is zero, so the surroundings lose exactly what the gas gains, . To the nearest integer the magnitude of the entropy change of the surroundings is 3 J K.
JEE Main · 2023 · 12 Apr 2023 · Shift 1 · Integer answer