An ideal gas expands isothermally from a volume V_(1)" to "V_(2) and then compressed to original volume V_(1) adiabatically. Initial pressure is P_(1) and final pressure is P_(3). Total work done is W. Then which is true :

An ideal gas expands isothermally from a volume V_(1)" to "V_(2) and t

1.	An ideal gas expands isothermally from a volume V_(1)" to "V_(2) and then compressed to original volume V_(1) adiabatically. Initial pressure is P_(1) and final pressure is P_(3). Total work done is W. Then which is true :
Answer» `P_(3) gt P_(1), W gt 0` `P_(3) gt P_(1) , W lt 0` `P_(3) lt P_(1),W lt 0` `P_(3) =P_(1), W=0` Solution :When gas expands WORK done is + ve and when gas is compressed, then work done is -ve. `THEREFORE W_(AB) =` Area under CURVE AB (+ve work) `W_(BC)=` Area under curve BC (-ve work) `therefore W_(ABC)=W_(AB)-W_(BC)=-` ve work i.e. `W_(ABC) lt 0` Also from graph `P_(3) gt P_(1)`. Thus, correct choice is (b).

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An ideal gas expands isothermally from a volume V_(1)" to "V_(2) and then compressed to original volume V_(1) adiabatically. Initial pressure is P_(1) and final pressure is P_(3). Total work done is W. Then which is true :

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