In a reversible expansion, one mole of gas is expanded isothermally at 200 K till its volume increases 10 times. Calculate S_ total at equilibrium?

Step-by-step solution

For a reversible process, the total entropy change S_ total is defined as S_ system + S_ surroundings . During a reversible isothermal expansion of an ideal gas, the entropy change of the system is S_ system = nR ( V₂ V₁ ) . The surrounding's entropy change is S_ surroundings = - q_ rev T , equal to - S_ system . Consequently, the sum is S_ total = S_ system + (- S_ system ) = 0 . Given that n = 1 mol, T = 200 K, and V₂ V₁ = 10 , the system's entropy change is S_ system = 8.314 (10) 19.14 J K ⁻¹ and S_ surroundings