3C.1 Consider a perfect gas contained in a cylinder and separated by a frictionless adiabatic piston into two sections A

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3C.1 Consider a perfect gas contained in a cylinder and
separated by a frictionless adiabatic piston into two sections A
and B. All changes in B are isothermal; that is, a thermostat
surrounds B to keep its temperature constant. There is 2.00mol of
the gas molecules in each section. Initially TA =TB =300K, VA =VB
=2.00dm3. Energy is supplied as heat to Section A and the piston
moves to the right reversibly until the final volume of Section B
is 1.00dm3. Calculate (a) ΔSA and ΔSB, (b) ΔAA and ΔAB, (c) ΔGA and
ΔGB, (d) ΔS of the total system and its surroundings. If numerical
values cannot be obtained, indicate whether the values should be
positive, negative, or zero or are indeterminate from the
information given. (Assume CV,m =20JK−1mol−1.)