Heat and Thermal ExpansionHard
Question
A thermally insulated chamber of volume 2V0 is divided by a frictionless piston of area S into two equal parts A and B. Part A has an Ideal gas at pressure P0 and temperature T0 and in part B is vacuum. A mass less spring of force constant k is connected with piston and the wall of the container as shown. Initially spring is unstructured. Gas in chamber A is allowed to expand. Let in equilibrium spring is compressed by x0. Then : -
Options
A.Final pressure of the gas is 
B.Work done by the gas is 
kx20
kx20C.Change in internal energy of the gas is
D.Temperature of the gas is decreased.
Solution
Final pressure 
Workdone by gas = p.E. stored in spring = 1/2 kx02
ᐃU = |-ᐃW| = 1/2 kx02
As gas expands, ᐃT is negative.
Workdone by gas = p.E. stored in spring = 1/2 kx02
ᐃU = |-ᐃW| = 1/2 kx02
As gas expands, ᐃT is negative.
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