A horizontal piston is attached to a spring with a spring constant of 1500N/m. The cross sectional area of the cylinder is A=10cm^2, it contains 0.0040mol of gas. At 20 deg Celsius the spring is neither compresssed nor stretched. How far is the spring compressed, x, if the gas temperature is raised to 100 deg Celcius?
PV=nRT ...(P_1 * V_1)/T_1 = (P_2 * V_2)/T_2
The Attempt at a Solution
I assume that the increased volume V_2 = V_1 + Ax. And P_1 is standard pressure, and i need to work in Kelvins, but I have tried everything I know to get the right answer but can not.
I know the answer via the back of our textbook which is 1.02cm. But it is a problem we need to show our work on, and I can't figure this one out. Any help would be greatly appreciated.