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# 1 mole of a gas is changed from its initial state (15ml,2atm) to final state(4l,10atm) respectively. if the change can be represented by a straight line in P-V curve, calculate the maximum temperature attained by the gas ?

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
7 years ago
Hi Yogendra,
$\\P=(10-8)/(4-0.015)(V-4)+10 \\=>PV=((10-8)/(4-0.015)(V-4)+10)V$
We have to maximise this, so differentiating,
$\\=>d(PV)/dt=10+((8/(4-0.015))(V-4))+V8/(4-0.015)=0$
Get V from here put them in the equation to get the final answer.
And Are you sure it was "15ml" ??

Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty

Yogendra SIngh
20 Points
7 years ago
Yes sir it is 15 ml only

Yogendra SIngh
20 Points
7 years ago
Sir i am not getting it. can u explain me the first step ?
P=(10-8)/(4-0.015)(v-4)+10

Arun Kumar
9 Points
7 years ago
Its just a simple application of straight lines.
If you have two points of a line you can find the straight line equation like that.