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The volume of a given mass of dry gas at...

The volume of a given mass of dry gas at `15^(@)` is `100cm^(3)`. At what temperature the volume of the gas will be `125cm^(3)`, keeping pressure constant.

Text Solution

Verified by Experts

Here, P is constant, i.e., Charles. law, `V_(1)=100cm^(3), V_(2)=125cm^(3)`
`T_(1)=15^(@)=(15+273)=288K, T_(2)=?`,
From Charles. law we have , `(V_(1))/(T_(1))=(V_(2))/(T_(2))or, T_(2)=(125times288)/(100)=360K`
So the final final temperature will be 380K or `(360-273)^(@)C=87^(@)`.
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