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One mole of an ideal monoatomic gas unde...

One mole of an ideal monoatomic gas undergoes a described by the equations `PV^(3) `= constant The heat the gas during this process is :

A

2R

B

R

C

` (3)/(2)R `

D

` (5)/( 3) R `

Text Solution

Verified by Experts

The correct Answer is:
B
` PV^(x) = ` constant (Polytropic process )
Heat capacity in polytropic process is given by
` [C = C_V +( R ) /(1-x) ]`
Given that ` PV^(3)` = constant ` rArr = 3 ……………..(1)`
Gas is monoatomic therefore ` C_V = (3)/(2) R ................(2 ) ` by formula
` C = (3)/(2) R +(R)/(1-3) = (3)/(2) R - ( R )/(2) = R `
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