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When a gas filled in a closed vessel...

When a gas filled in a closed vessel is heated through `1 ^(@)C ` its pressure Increase by `0.4 % ` what is the initial temperature of the gas ?

Text Solution

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Initial pressure `P_(1) = P`
final pressure `P_(2) = P +(0.4 P)/( 100 )`
` T_(1) = T, T_(2) =- T+1`
At constant volume `(P_(2))/(P_(1)) = (T_(2))/(T_(1))`
` (P (1+ 0.004 ))/( P ) = (T-1)/(T )`
` PT + 0.004PT = PT +P`
`0.004 PT =P`
` therefore T =(1)/(0.004 ) = 250 K`
`therefore` initial temperature of the gas `= 250 K `
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