For an ideal gas with initial pressure a...

For an ideal gas with initial pressure and volume `P_(i)` and `V_(i)` respectively a reversible isothermao expansion happens, when its volume becomes `V_(0)`. Then it is compressed to its original volume `V_(i)` by a reversible adiabatic process. If the final pressure is `P_(f)`, then which of the following statements is true?
`P_(f)=P_(i)`
`P_(f)gtP_(i)`
`P_(f)ltP_(i)`
`(P_(f))/(V_(0))=(P_(i))/(V_(i))`

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