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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)= (2)/(T_2)`
`T_2 = (3)/(2) xx 300 = (900)/(2)= 450 K`
`rArr t_2 = (450 - 273)^@ C= 177^@ C`
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