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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?

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To solve the problem, we need to determine the temperature to which the gas must be heated in order for one-third of it to escape from the vessel. We will use the relationship between the number of molecules (or moles) of gas and temperature, given that the pressure remains constant. ### Step-by-Step Solution: 1. **Convert the initial temperature to Kelvin:** The initial temperature given is \(27^\circ C\). To convert this to Kelvin: \[ T_1 = 27 + 273 = 300 \, K ...
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