1.

Air is filled at `60^(@)C` in a vessel of open mouth. The vessle is heated to a temperature `T` so that `1//4th` of air escapes. Assuming the volume of vessel remaining constant, the value of `T` isA. `80^(@)C`B. `440^(@)C`C. `333^(@)C`D. `171^(@)C`

Answer» Correct Answer - D
d. `M_(1) = M, T_(1) = 60 + 273 = 333 K`
`M_(2) = M - (M)/(4) = (3 M)/(4)` (as `1//4th` part of air escapes)
If pressure and volume of the gas remain constant, then `MT=` constant
`:. (T_(2))/(T_(1)) = (M_(1))/(M_(2)) = ((M)/(3M//4)) = (4)/(3)`
`implies T_(2) = (4)/(3) xx T_(1) = (4)/(3) xx 333 = 444 K = 171^(@)C`


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