One mole of an ideal gas is taken through a cyclic process as shown in the V-T diagram. Which of the following statements is true ?

One mole of an ideal gas is taken through a cyclic process as shown in

1.	One mole of an ideal gas is taken through a cyclic process as shown in the V-T diagram. Which of the following statements is true ?
Answer» The MAGNITUDE of work DONE by the gas is `RT_(0)ln2`. Work done by gas is `V_(0)T_(0)` Net work done by the gas is zero. Work done by the gas is `2RT_(0)ln2`. Solution :`W_(AB) = W_(CA) = 0` (as volume is constant) `W_(DA) = RT_(0) ln((2V_(0))/(V_(0))) = RT_(0) ln2` `W_(BC) = R(2T_(0))ln ((V_(0))/(2V_(0))) = -2RT_(0) ln 2` Total work done by the gas is `W = W_(AB) + W_(BC) + W_(CD) + W_(DA)` `= 0 - 2RT_(0) ln 2 + 0 + RT_(0) ln 2 = -RT_(0) ln 2` or `\|W\| = RT_(0) ln 2`