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In an adiabatic change, the pressure and...

In an adiabatic change, the pressure and temperature of a monoatomic gas are related as `pxxT^(C )`, where C equals

A

`3//5`

B

`5//3`

C

`2//5`

D

`5//2`

Text Solution

Verified by Experts

The correct Answer is:
d
For adiabatic change , `PV gamma` = constant
`rArr P ((RT)/P)^(gamma) = "constant "rArr P^(1 - gamma) T^(gamma) "= constant "[:. PV = RT] `
`rArr P propto T^(1 - gamma)`
Therefore, the value of constant ` C = gamma/((gamma - 1))` .
For monoatomic gas, `gamma = 5/3`
Therefore `C = (5//3)/((5//3) -1) = (5//3)/(2//3) = 5/2`
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