8. What is the entropy change of a one-mole ideal gas system under free expansion to four times of its original volume? (A) 0 (B) Rln2 (C) Rln3 (D) 2Rln2

4. A point-like bug of mass m lies on the rim of a uniform disk of mass M that can rotate freely about its center. Initially the bug and disk rotate together with an angular velocity ω₀. Then the bug walks half way to the center of the disk. What is ratio of the new kinetic energy of the system to its initial kinetic energy? (A) (4m+2M)/(m+2M) (B) (m+2M)/(4m+2M) (C) (2m+4M)/(2m+M) (D) (2m+M)/(2m+4M)

8. What is the entropy change of a one-mole ideal gas system under free expansion to four times of its original volume?
(A) 0
(B) Rln2
(C) Rln3
(D) 2Rln2

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