An insulated cylinder is divided into three parts A, B and C. Pistons 1 and 2 are connected by a rigid rod and can slide without friction inside the cylinder. Piston 1 is perfectly conducting while piston 2 is perfectly insulating. Equal quantity of an ideal gas is filled in three compartments and the state of gas in every part is same `(P_(0) V_(0) T_(0))`. Adiabatic exponent of the gas is g = 1.5. The compartment B is slowly given heat through a heater H such that the final volume of gas in part C becomes `(4V_(0))/(9)`
(a) Calculate the heat supplied by the heater.
(b) Calculate the amount of heat flow through piston 1.
(c) If heater were in compartment A, instead of B how would your answers to (a) and (b) change?

Answer

(a) `18 P_(0)V_(0) " " (b) 19/2 P_(0) V_(0)`
(c) Answer to (a) does not change. Answer to (b) is `17/2 P_(0)V_(0)`