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 cross-sectional area of the piston is A =
2.50 × 10-3 m2. The initial pressure, volume, and temperature of
the gas are, respectively, P0, V0 = 6.00 × 10-4 m3 and T0 = 273 K,
and the spring is initially stretched by an amount x0 = 0.091 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 = 0.11 m with respect to
its unstrained length. What is the final temperature of the
gas?