Two equal-volume compartments of a box are joined by a thin wall as shown in the figure. The left compartment is filled with 0.050 mole of helium gas at 403 K, and the right compartment contains 0.025 mole of helium gas at 213 K. The right compartment also has a piston to which a force of 20.0 N is applied.

a) If the wall between the compartments is removed, what will the final temperature (in K) of the system be?

b) How much heat will be transferred from the left compartment to the right compartment?

c) What will be the displacement of the piston due to this transfer or heat?

d) What fraction of the heat will be converted into work?