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An ideal gas is taken from the state A (...

An ideal gas is taken from the state A (pressure P, volume V) to the state B (pressure `p//2`, volume 2V) along a straight line path in the P-V diagram. Select the correct statement (s) from the following :

A

The work done by the gas in the process A to B. exceeds the work that would be done by it, if system were taken along the isotherm.

B

In the T-V diagram, the path AB becomes a part of a hyperbola

C

In the p-T diagram, the path AB becomes a part of a hyperbola

D

In going goind A to B, the temperature T of the gas first decreases to a miniumum value and then increase.

Text Solution

Verified by Experts

The correct Answer is:
a
`W=(1)/(2)(rho+(rho)/(2))V=(3)/(4)rhoV=0.75rhoV`

`W_(iso)=RTxx2.3026"log"_(10)((2V)/(V))=0.693 rhoV`
Thus, statement (a) is correct.
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