Saved Bookmarks
| 1. |
One mole of an ideal gas at temperature T_(1) expands according to the law (P/V) = constant. Find the work done when the final temperature becomes T_(2). |
|
Answer» `R(T_(2) - T_(1))` `W = underset(V_(1))overset(V_(2))int PDV = underset(V_(1))overset(V_(2))int KVdV (.:. P/V = K = "constant")` ` :. W = 1/2 K(V_(2)^(2) - V_(1)^(2))` As we know, in case of an ideal gas, `PV = RT . " But " P = KV` , ` :. KV^(2) = RT " or " K(V_(2)^(2) - V_(1)^(2)) = R (T_(2) - T_(1))` ` :. W = R/2 (T_(2) - T_(1))` |
|