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A gas is expanded from volume V(1) to V(...

A gas is expanded from volume `V_(1)` to `V_(2` through three different process:
a. Reversible adiabatic
b. Reversible isothermal
c. Irreversible adiabatic (against a constant external pressure `P_(ex))`
The correct option is

A

`[(T_(f))_(Gas)]_("Reversible isothermal") gt [(T_(f))_(GaS)]_("Reversible adiabatic") gt [(T_(f))_(Gas)]_("Irreversible adiabatic")`

B

`[(T_(f))_(Gas)]_("Reversible isothermal") gt [(T_(f))_(GaS)]_("Irreversible adiabatic") gt [(T_(f))_(Gas)]_("Reversible adiabatic")`

C

`w_("Reversible isothermal ")gtw_("Irreversible adiabatic") gt w_("Reversible adiabatic")`

D

`(P_(f))_("Reversible isothermal")gt (P_(f))_("Reversible adiabatic") gt (P_(f))_("Irreversible adiabatic")`

Text Solution

Verified by Experts

`w_("Isothermal") gt w_("Adiabatic")` and `w_(Rev.) gt W_(Irr.) `
`(Rev.)(II) (Rev.)(I)`

`rArr W_("Rev.isothermal") gt W_("Rev.adiabatic") gt W_("irr.adiabatic")`
In adiabatic expansion, `T darr`. More is the work done by the gas, more is the decrease in `T`.
(`:'` Work is being done at the expense of `DeltaU)`
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