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A container has one mole of monoatomic i...

A container has one mole of monoatomic ideal gas. Each molecule has f degrees of freedom. What is the ratio of `gamma=(C_(P))/(C_(V))`

A

f

B

`f/2`

C

`f/(f+2)`

D

`(f+2)/f`

Text Solution

Verified by Experts

The correct Answer is:
D

`U=f/2RT,C_v=f/2R`
`C_p=(1+f/2)R`
`r=C_p/C_v=1+2/f=(f+2)/f`
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