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An ideal monoatomic gas undergoes a cycl...

An ideal monoatomic gas undergoes a cyclic process `ABCA` as shown in the figure. The ratio of heat absorbed during `AB` to the work done on the gas during `BC` id

A

`5/(2"In"2)`

B

`5/3`

C

`5/(4 "In" 2)`

D

`5/6`

Text Solution

Verified by Experts

The correct Answer is:
c

ABC ( Isobaric process )
`W_(AB) = (2 V_(0) - V_(0)) P_(0)V_(0)`
BC (Isothermal process)
`W_(BC) = |nR(2T_(0))" In" V_(0)/(2V_(0))| = 2P_(0)V_(0)." In" 2`
` :. Q_(AB)/W_(BC) = (3//2P_(0)V_(0)+P_(0)V_(0))/(2P_(0)V_(0)."In"2) = 5/(4"In "2)`
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