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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
Energy associated with 1 mole of gas `U=f/2 RT`
`C_(v)=f/2 R`
`C_(P)=(1+f/2)R`
`gamma=C_(P)/C_(V)+((1+f/2))/(f/2)=((2+f/2))/((f/2)), gamma =(f+2)/f`
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