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Some amount of diatomic van der walls' g...

Some amount of diatomic van der walls' gas is kept in a rigid container of volume `20` liter and subjected to change in temperature from `300` K to `400`K. If `30` kacl of heat is required and enthalpy change of the process is observed to be `(310)/(9)` kacl, then estimate the number of moles of the gas.
[Given : `b=0.1` L `mol^(-1)`, a=`1.25` atm `-L^(2)//mol^(2)`]

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