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A gas is filled in a vessel at 27^@ C. T...

A gas is filled in a vessel at `27^@ C`. To what temperature should it be heated in order that `(1)/(3)`rd of the gas may escape out of the vessel?

Text Solution

Verified by Experts

`T_(1)=27+273=300K,V_(1)=V,T_(2)=?,V_(2)=V+(V)/(2)=(3V)/(2)`
Applying Charles' law
`(V_(1))/(T_(1))=(V_(2))/(T_(2))`
`(V)/(300)=((3V)/(2))/(T_(2))`
`T_(2)=(3)/(2)xx300=(900)/(2)=450K`
`impliest_(2)=(450-273^(@))C=177^(@)C`
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