Posted by Angie on .
The drawing shows an ideal gas confined to a cylinder by a massless piston that is attached to an ideal spring. Outside the cylinder is a vacuum. The crosssectional area of the piston is A = 2.50 103 m2. The initial pressure, volume, and temperature of the gas are, respectively, P0, V0 = 6.00 104 m3 and T0 = 273 K, and the spring is initially stretched by an amount x0 = 0.0808 m with respect to its unstrained length. The gas is heated, so that its final pressure, volume, and temperature are Pf, Vf and Tf and the spring is stretched by an amount xf = 0.0930 m with respect to its unstrained length. What is the final temperature of the gas?

Physics 
Ellis Others,
Fx Applied = k*x
(k=5.8x10^4)
Vf=Vo+A(XfXo)
Fo=Po*A and Ff=Pf*A
Po=kXo/A and Pf=kXf/A
Tf=(Pf*Vf*To)/(Po*Vo)
Solve for Tf by plugging in the unknown values with the equations above.
It would look something like this...
Tf=(kxf/a)*(Vo+A(delta x))*(To)/(kxo/A)(Vo)