JEE MAIN - Physics (2020 - 4th September Morning Slot - No. 14)
Match the $${{{C_P}} \over {{C_V}}}$$ ratio for ideal gases with different type of molecules :
| Molecule Type | CP/CV |
|---|---|
| (A) Monatomic | (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 |
(A)-(III), (B)-(IV), (C)-(II), (D)-(I)
(A)-(IV), (B)-(II), (C)-(I), (D)-(III)
(A)-(IV), (B)-(I), (C)-(II), (D)-(III)
(A)-(II), (B)-(III), (C)-(I), (D)-(IV)
Explanation
$$\gamma = {C_p}/{C_v}$$
$${\gamma _A} = 1 + {2 \over 3} = 5/3$$
$${\gamma _B} = 1 + {2 \over 5} = 7/5$$
$${\gamma _C} = 1 + {2 \over 7} = 9/7$$
$${\gamma _D} = 1 + {2 \over 6} = 4/3$$
$${\gamma _A} = 1 + {2 \over 3} = 5/3$$
$${\gamma _B} = 1 + {2 \over 5} = 7/5$$
$${\gamma _C} = 1 + {2 \over 7} = 9/7$$
$${\gamma _D} = 1 + {2 \over 6} = 4/3$$
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