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Question: The Vander Waal's parameters for gases W, X, Y and Z are | Gas | a (atm L<sup>2</sup> mol<sup>–2</s...

The Vander Waal's parameters for gases W, X, Y and Z are

Gasa (atm L2 mol–2)b (L mol–1–11–1–14545454)
W4.00.027
X8.00.030
Y6.00.032
Z12.00.027

Which one of these gases has the highest critical temperature.

A

W

B

X

C

Y

D

Z

Answer

Z

Explanation

Solution

For Z gas of given gases, critical temperature is highest

Tc=8a27RbTC=8×1227×0.821×0.27=1603.98KT_{c} = \frac{8a}{27Rb} \Rightarrow T_{C} = \frac{8 \times 12}{27 \times 0.821 \times 0.27} = 1603.98K