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» <html><body><p>The <a href="https://interviewquestions.tuteehub.com/tag/magnitude-1083080" style="font-weight:bold;" target="_blank" title="Click to know more about MAGNITUDE">MAGNITUDE</a> of work <a href="https://interviewquestions.tuteehub.com/tag/done-2591742" style="font-weight:bold;" target="_blank" title="Click to know more about DONE">DONE</a> by the gas is `RT_(<a href="https://interviewquestions.tuteehub.com/tag/0-251616" style="font-weight:bold;" target="_blank" title="Click to know more about 0">0</a>)ln2`.<br/>Work done by gas is `V_(0)T_(0)`<br/>Net work done by the gas is zero.<br/>Work done by the gas is `2RT_(0)ln2`.</p>Solution :`W_(AB) = W_(CA) = 0` (as volume is constant) <br/> `W_(DA) = RT_(0) ln((2V_(0))/(V_(0))) = RT_(0) ln2` <br/> `W_(BC) = R(2T_(0))ln ((V_(0))/(2V_(0))) = -2RT_(0) ln 2` <br/> Total work done by the gas is <br/> `W = W_(AB) + W_(BC) + W_(CD) + W_(DA)` <br/> `= 0 - 2RT_(0) ln 2 + 0 + RT_(0) ln 2 = -RT_(0) ln 2` <br/> or `\|W\| = RT_(0) ln 2` <br/> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/MTG_NEET_GID_PHY_XI_C08_E01_041_S01.png" width="80%"/></body></html>