Q: Consider one mole of perfect gas in a cylinder of unit cross-section with a piston attached (figure). A spring (spring constant k) is attached (unstretched length L) to the piston and to the bottom of the cylinder. Initially the spring is unstretched and the gas is in equilibrium. A certain amount of heat Q is supplied to the gas causing an increase of value from V_0 to V_1.
(i) What is the initial pressure of the system ?
(ii) What is the final pressure of the system ?
(iii) Using the first law of thermodynamics, write down a relation between Q, p_a , V , V_0 and k.