An ideal gas is allowed to expand both reversibly and irreversibly in an isolated system. If `T_i` is the initial temperature and `T_f` is the final temperature, which of the following statement is correct ?

Options

A. `(T_(f))_("rev")=(T_(f))_("irrev")`
B. `T_(f)=T_(i)` for both reversible and irreversible provesses
C. `(T_(f))_("irrev")gt(T_(f))_("rev")`
D. `T_(f)gtT_(i)` for reversible process but `T_(f)=T_(i)` for irreversible process

Answer

C

Explanation

In a reversible process the work done is greater than in irreversible process. Hence the heat absorbed in reversible process would be greater than in the latter case. So
`T_(f)("rev")ltT_(f)("irrev")`