An ideal gas- having ratio of specific heat - undergoes a process in which its internal energy relates to the volume as U - -V- where - is a constant- If the gas is expanded from volume V1 and V2-The work performed by gas is-

Work done by a system under isothermal change from a volume $V_{1}$ to $V_{2}$ for a gas which obeys Vander Waal's equation $(V - β n) (P + \frac{α n^{2}}{V}) = n R T$

Q. Work done by a system under isothermal change from a volume

V_{1} t o V_{2}

for a gas which obeys Vander Waal's equation

(V - β n) (P + \frac{a n^{2}}{V}) = n R T

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An ideal gas, having ratio of specific heat Υ undergoes a process in which its internal energy relates to the volume as U=α√V, where α is a constant. If the gas is expanded from volume V1 and V2.The work performed by gas is:

The correct option is A 2α(Υ−1)[√V2−√V1]nR8−1T=α√VT=α(8−1)nR√VPV=nRTPV=α(8−1)√VP=α(8−1)√VW=∫P.dVW=∫V2V1α(8−1)√VdVW=α(8−1)⎡⎢ ⎢ ⎢ ⎢⎣V1212⎤⎥ ⎥ ⎥ ⎥⎦V2V1W=2α(8−1)[√V2−√V1]W=2α(8−1)[√V2−√V1]

An ideal gas, having ratio of specific heat $Υ$ undergoes a process in which its internal energy relates to the volume as $U = α \sqrt{V}$ , where $α$ is a constant. If the gas is expanded from volume $V_{1}$ and $V_{2}$ .
The work performed by gas is: