One mole of each gases W, X, Y and Z with van der Waal's constant a (atm l² mol⁻²) 0.850, 2.250, 5.500 and 3.400, respectively, are kept separately in four different vessels of equal volumes at i

Question

One mole of each gases W, X, Y and Z with van der Waal's constant a (atm l² mol⁻²) 0.850, 2.250, 5.500 and 3.400, respectively, are kept separately in four different vessels of equal volumes at identical temperature. Their pressures are observed to be P W , P X , P Y and P Z , respectively. On the basis of this data alone, the order of pressure of gases is (assume other van der Waal's constant to be nearly same for all gases)

TestHub · Accepted Answer

For one mole, P = (RT)/(V-b) - a/(V²); with equal V, T and nearly equal b, a larger a lowers the pressure more. Order of a: Y(5.500) > Z(3.400) > X(2.250) > W(0.850), so the pressure order is reversed: P Y < P Z < P X < P W . Ans: (b)

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