1. The problem statement, all variables and given/known data [PLAIN]http://img101.imageshack.us/img101/7498/thermo.jpg [Broken] A cylinder is closed by a massless piston of cross sectional area A which is connected to a spring of constant k. With the spring relaxed, the cylinder is filled with a gas. The initial pressure, volume and temperature are Pi Vi and Ti. How high will the piston rise if its temperature is increased to a final value of Tf? 2. Relevant equations 3. The attempt at a solution I tried to find Pf and Vf. Pf = Pi + kx/A Vf = Vi + Ax I then wrote the universal gas law for Pf Tf and Vf but I doubt this is correct because the equation was crazy long and complicated.