A sample of an ideal gas is taken through the cyclic process abca . It absorbs 50J of heat during the part ab ,no heat during bc and rejects 70 J of heat during ca 40 J of work is done on the gas during the part bc . (a) Find the internal energy of the gas at b and c if it is 1500J at a . (b) Calculate the work done by the gas during the part ca.