An ideal gas is allowed to expand both reversibly and irreversibly in an isolated system. If `T_(1)` is initial temperature and `T_(f)` is the final temperature, which of the following statement is correct

Options

A. `(T_(f))_("irr") gt (T_(f))_("rev")`
B. `T_(f) gt T_(1)` for reversible process but `T_(f)= T_(1)` for irreversible process
C. `(T_(f))_("rev") = (T_(f))_("irr")`
D. `(T_(f))= T_(1)` for reversible and irreversible process

Answer

A

Explanation

`|W_("rev")| gt |W_("irr")|, q = 0` (isolated)
`rArr` work done at the cost of internal energy `rArr Delta E lt 0`
More energy loss in reversible as more work done in reversible `rArr T_("rev") lt T_("irr")`