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At a given temperature T gases Ne Ar Xe and Kr are found to deviate from ideal gas behavior (JEE MAINS 2019)

At a given temperature T, gases Ne, Ar, Xe and Kr are found to deviate from ideal gas behavior. Their equation of state is given as P=RTV−b at T. Here, b is the van der Waals constant. Which gas will exhibit the steepest increase in the plot of Z (compression factor) vs P? (JEE MAINS 2019)

At a given temperature T, gases Ne, Ar, Xe and Kr are found to deviate from ideal gas behavior (JEE MAINS 2019)
Question:
 
At a given temperature T, gases Ne, Ar, Xe and Kr are found to deviate from ideal gas behavior. Their equation of state is given as P=RTV−b at T. Here, b is the van der Waals constant. Which gas will exhibit steepest increase in the plot of Z (compression factor) vs P? (JEE MAINS 2019 Past Year Chemistry Questions)
 
Answer :
A
Solution :

Z=1+PbRT

“>Z=1+Pb/RT

 

Z=1+PbRT

“>Z=1+Pb/RT

 for inert gases

Z∝b

“>Zb

Z∝b

“>Z∝b

, ‘b’ depends on size of the gas atom the gas atom

therefore steepest increase in plot of  Z

“>Z

 is maximum for Xenon.

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