Consider one mole of perfect gas on a cylinder of units cross-section with a piston attched (figure). A spring (spring constant K ) is attched (unstrecthed lengthL ) to the piston and to the bottom of the cylinder . Inditially the spring is unstrecthed and the gas is in equailibrium. A certain amount of heat Q is supplied to the gas causing an increase of value from `V_(0)` to `V_(1)`.
(a) What is the initial pressure of the system ?
(b) What is the final pressure of the system?
(c) Using the first law of thermodynamic, write down a relation between `Q, p_(a),V,V_(0)` and K.