A gas is contained in a cylinder with a movable piston on which a heavy block is placed. Suppose the region outside the chamber is evacuated and the total mass of the block and the movable piston is 102 kg. When 2140 J of heat flows into the gas, the internal energy of the gas increases by 1580 J. What is the distance 'd' through which the piston rises? Use g = 9.8 m/s^2.
Options:
a) 0.52 m
b) 0.56 m
c) 0.58 m
d) 0.54 m