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Assertion : The ratio C(P)// C(upsilon) ...

Assertion : The ratio `C_(P)// C_(upsilon)` for a diatomic gas is more than that for a monoatomic gas.
Reason : The moleculess of a monoatomic gas have more degrees of freedom than those of a diatomic gas.

A

If both assertion and reason are true and the reason is the correct explanation of the assertion

B

If both assertion and reason are true but reason is not the correct explanation of the assertion

C

If assertion is true but reason is false.

D

If the assertion and reason both are false.

Text Solution

Verified by Experts

The correct Answer is:
D
For a monatomic gas, number of degrees of freedom, f = 3, and for a diatomic gas f = 5.
As, `C_P/C_V = gamma = 1 + 2/f`
`((C_P)/C_V)_(Mono) = 1 + 2/3 = 5/3 and (C_P/C_V)_(Di) = 1 + 2/5 = 7/5`
`rArr (C_P/(C_V))_(Mono) gt (C_P/C_V)_(Di)`
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