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Match the Cₚ/C_v ratio for ideal gases with different type of molecules:
Molecule Type | Cₚ/C_v
(A) Monoatomic | (I) 7/5
(B) Diatomic rigid molecules | (II) 9/7
(C) Diatomic non-rigid molecules | (III) 4/3
(D) Triatomic rigid molecules | (IV) 5/3
- (1) (A)-(III), (B)-(IV), (C)-(II), (D)-(I)
- (2) (A)-(II), (B)-(III), (C)-(I), (D)-(IV)
- (3) (A)-(IV), (B)-(II), (C)-(I), (D)-(III)
- (4) (A)-(IV), (B)-(I), (C)-(II), (D)-(III)
Correct answer: (4) (A)-(IV), (B)-(I), (C)-(II), (D)-(III)
Solution
gamma values: monoatomic = 5/3 (IV), diatomic rigid = 7/5 (I), diatomic non-rigid (with vibration, f=7) = 9/7 (II), triatomic rigid (f=6) = 4/3 (III). So (A)-IV, (B)-I, (C)-II, (D)-III.
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