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The equation of state for a gas is given...

The equation of state for a gas is given by `PV = eta RT + alpha V`, where `eta` is the number of moles and `alpha` a positive constant. The intinal pressure and temperature of 1 mol of the gas contained in a cylinder is `P_(0)` and `T_(0)`, respectively. The work done by the gas when its temperature doubles isobarically will be

A

`(P_(0)T_(0)R)/(P_(0)-alpha)`

B

`(P_(0)T_(0)R)/(P_(0)+alpha)`

C

`P_(0)T_(0)R` in 2

D

`P_(0)T_(0)R`

Text Solution

Verified by Experts

The correct Answer is:
A
`V_(1)=(nRT_(0))/(P_(0)-prop)`
work done `W=(V_(f)-V_(i))P`
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