####3. At a given temperature , gases and are found to deviate from ideal gas behaviour. Their equation of state is given as, at .
Here, is the van der Waals’ constant. Which gas will exhibit steepest increase in the plot of (compression factor) ?
(2019 Main, 9 April II)
(a)
(b)
(c)
(d)
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Answer:
Correct Answer: 3. (d)
Solution:
- Noble gases such as and found to deviate from ideal gas behaviour.
Xe gas will exhibit steepest increase in plot of vs .
Equation of state is given as:
The plot of vs is found to be
The gas with high value of will be steepest as slope is directly proportional to is the van der Waals’ constant and is equal to four times the actual volume of the gas molecules. Xe gas possess the largest atomic volume among the given noble gases ( . Hence, it gives the steepest increase in the plot of (compression factor) .