A cylindrical tube of volume 'V' with adiabatic walls containing an ideal gas.The internal energy of this ideal gas is given by 1.5nRT.The tube is divided into two equal part by a fixed diathermic wall.Initially, the pressure and the temperature are p1,T1 on the left and p2,T2 on the right.The system is left for sufficient time so that the temperature becomes equal on the two sides.
a) Find the pressure on the two sides.
b) Find the equilibrioum temperature.
c) How much heat has flown from the gas on the right to the gas on left?
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3 Answers
diathermic: something that allows energy transfer as heat.
At the end, the pressure on both sides will be equal. because the central part has to stop .. for that, the force from both sides will be equal.. so the pressure from both sides has to be equal.
Now with the above hint, apply PV=nRT on both sides..
More HInt: On one side if v=x, the other side it will be V-x
where V is the volume of both the parts combined..
using these hints, solve it
If you are not able to solve it completely, please fill the answer..
a) p1T2(p1+p2)λ on the left and p2T1(p1+p2)λ on the right
b)T1T2(p1+p2)λ
c)3p1p2(T2-T1)V4λ where λ =p1T2+p2T1
these are the answers...pls solve it..