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)
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
“>Z∝b
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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