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Question

One mole of Gas in a 10 litre vessel exerts a pressure of 185.6 cm of Hg at 25C. Calculate the value of ‘a’.
Given R = .0821 litre/degree mole and b = 0.0391 litre/mole.


Solution

The correct option is A
According to vanderwaal’s equation, for one mole of gas.
(P+aV2)(Vb)=RT
(P+aV2)=RTVb
aV2=RTVbP or, a=(RTVbP)V2
or, a=(.0821×298100.0391185.676)×(10)2
or, a=0.76L2 atm/mol

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