One mole of vander waal gas is present at $0^{\circ} C$ and compressibility factor is half of ideal gas. Assuming the volume occupied by gas molecules is negligible, find out the value of vander waal constant ' $a$ ' (in atm $L^{2} mol^{-}^{2}$ ). The pressure at given condition is 100 atm .
(Round off to nearest integer)

Question

One mole of vander waal gas is present at $0^{\circ} C$ and compressibility factor is half of ideal gas. Assuming the volume occupied by gas molecules is negligible, find out the value of vander waal constant ' $a$ ' (in atm $L^{2} mol^{-}^{2}$ ). The pressure at given condition is 100 atm .

(Round off to nearest integer)

TestHub · Accepted Answer

P V = ZRT V = P ZRT ​ = 0.112 [ P + V 2 a ​ ] [ V ] = RT P V + V a ​ = RT V a ​ = 22.4 − 100 × 0.112 V a ​ = 11.2 a = 1.2544 L 2 m o l − 2 a t m

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