`1//R(R"is universal gas constant")` moles of an ideal gas `(gamma=1.5)` undergoes a cyclic process `(ABCDA)` as shown in figure. Assuming the gas to be ideal. If the net heat exchange is `10x` Joules, find the value of x ? `[In 2=0.7]`

Explanation

For cyclic process `sumQ=sumW`
Net change in heat energy
`=W_(AB)+W_(BC)+W_(CD)+W_(DA)`
`=nR(T_(B)-T_(A))+nRT_(B)ln ,(P_(B))/(P_(C))+nR(T_(D)-T_(C))+nRT_(D) , ln ,(P_(D))/(P_(A))`
`=70 J` Answer is `x=7` .