An ideal gas is made go to through a cyclic thermodynamics process in four steps. The `Q_(2)= 300J, Q_(3)= - 400J, Q_(4)= -100J` respectively. The corresponding works involved are `W_(1)= 300J, W_(2)= -100J, W_(3)= 100J and W_(4)`. What is the value of `W_(4)`?A. `100 J`B. `500 J`C. `-700 J`D. `-400 J`

An ideal gas is made go to through a cyclic thermodynamics process in

1.	An ideal gas is made go to through a cyclic thermodynamics process in four steps. The `Q_(2)= 300J, Q_(3)= - 400J, Q_(4)= -100J` respectively. The corresponding works involved are `W_(1)= 300J, W_(2)= -100J, W_(3)= 100J and W_(4)`. What is the value of `W_(4)`?A. `100 J`B. `500 J`C. `-700 J`D. `-400 J`
Answer» Correct Answer - D According to first law of thermodyanmics, `SigmadQ=SigmadU+SigmadW` As the process is cycle, `SigmadU=0` `:. SigmadW= SigmadQ` `W_(1)+W_(2)+W_(3)+W_(4)= Q_(1)+Q_(2)+Q_(3)+Q_(4)` `W_(4)= Q_(1)+Q_(2)Q_(3)+Q_(4)-(W_(1)+W_(2)+W_(3))` `=100+300-400-100-(300-100+100)` `= -100-300= -400J`

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