- #1
timetraveller123
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Homework Statement
1 mole of ideal gas with internal energy U= 3/2 RT , expands from initial volume Vi = 1/10 Vo following the equation p=(− po / Vo ) V +po
.
Find
(a) the highest temperature reached by the gas during the expansion and
(b) the maximum amount of heat taken in by the gas.
Homework Equations
pv = nrt
The Attempt at a Solution
p=(− po / Vo ) V +po
pV=(− po / Vo ) V2 +poV
(pV/nr)=( (− po / Vo ) V2 +poV)/nr = T
taking derivative of T with respect to v gets
dT/dx= ((− po / Vo ) 2V +po)/nr
setting derivative to 0 yields
V = Vo/2
plugging back into equation for temperature gets
maximum temperature = poV0/4nr
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this is what i got is the right method or is there a way to get a numerical anser