Question

a 10.0 cm cylindrical chamber has a 5.0cm diameter piston attached to one end. The piston is connected to an ideal spring with a spring constant of 10.0N/cm. Initially, the spring is not compressed but is latched in place so that it cannot move. When the cylinder is filled with gas to a pressure of 5.0 x 10^5 Pa at a constant temperature, the spring is unlatched. Because of the difference in pressure between the inside of the chamber and the outside, the spring moves a distance d. Heat is allowed to flow into the chamber as it expands so that the temperature of the gas remains constant. Find d.