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Air is filled at 60^(@)C in a vessel of ...

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` is

A

`80^(@)C`

B

`444^(@)C`

C

`333^(@)C`

D

`171^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
D
`(3)/(4)`th volume of air at `0^(@)C` occupies entire volume at `theta` ,
As `(V_(1))/(T_(1)) = (V_(2))/(T_(2)) implies (3//4V)/(273 + 60) = (V)/(273 + theta) implies theta = 171^(@)C`
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