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Q.

Consider the vanderwaals constants, a and b for the following gases

Gas

Ar

Ne

Kr

Xe

a (atm dm6 mole-1)1.30.25.14.1
b( 10-2 dm3 mole-1)3.21.71.05.0

Which gas is expected to have the highest critical temperature?

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a

Ne

b

Ar

c

Kr

d

Xe

answer is A.

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Detailed Solution

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Tc=8a27RbTcαab

1)Ar,ab=1.33.2=0.40625

2)Ne,ab=0.21.7=0.1176

3)Kr,ab=5.11.0=5.1

4)Xe,ab=4.15.0=0.82

Value of ab is highest for Kr. Therefore ‘Kr’ has highest value of critical temperature.

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Consider the vanderwaals constants, a and b for the following gasesGasArNeKrXea (atm dm6 mole-1)1.30.25.14.1b( 10-2 dm3 mole-1)3.21.71.05.0Which gas is expected to have the highest critical temperature?