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An open vessel at 27^(@)C is heated unti...

An open vessel at `27^(@)C` is heated until `3//5` of the air in it is expelled. Assuming that the volume of the vessel remains constant, find the temperature to which the vessel has been heated.

Text Solution

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In the given questions, volume is constant.Also, as the vessel is open to atmosphere, the pressure is constant. This means that the gas equation is simply reduced to the following form `:`
`nT = ` constant ( Use PV= nRT )
or `n_(1) T_(1) = n_(2) T_(2)`
Now let `n_(1) = `initial moles and `n_(2) = ` final moles `rArr T_(2)= ( n_(1) T_(1))/( n_(2)) =( n_(1) T_(1))/( 2//5n_(1)) = (5)/( 2) T_(1)`
`rArr T_(2) =( 5)/( 2) ( 300) = 750K =477^(@)C`
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