Steam to drive an old-fashioned steam locomotive is supplied at a constant gauge pressure of 1.75 × 10⁶ N/m² (about 250 psi) to a piston with a 0.200-m radius.

(a) By calculating PΔV, find the work done by the steam when the piston moves 0.800 m. Note that this is the net work output, since gauge pressure is used. 

(b) Now find the amount of work by calculating the force exerted times the distance traveled. Is the answer the same as in part (a)?