Two samples `1` and `2` are initially kept in the same state. The sample `1` is expanded through an isothermal process where as sample `2` through an adiabatic process upto the same final volume. The final temperature in process `1` and `2` are `T_(1)` and `T_(2)` respectively, then

Options

A. `T_(1) gt T_(2)`
B. `T_(1) = T_(2)`
C. `T_(1) lt T_(2)`
D. The relation between `T_(1)` and `T_(2)` cannot be deduced.

Answer

A

Explanation

For adiabatic
`TV^(gamma -1) (gamma gt 1) ……….(i)`
For isothermla `T =` const ……..(ii)
From (i) and (ii) (i), `T_(2) lt T_(1)`