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a and b are van der Waals' constants for...

a and b are van der Waals' constants for gases. Chlorine is more easily liquefied than ethane because

A

a and b for `Cl_(2) lt a` and b for `C_(2)H_(6)`

B

a for `Cl_(2) lt a` for `C_(2)H_(6)` but b for `Cl_(2) gt b` for `C_(2)H_(6)`

C

a for `Cl_(2) gt a` for `C_(2)H_(6)` but b for `Cl_(2) lt b` for `C_(2)H_(6)`

D

a and b for `Cl_(2) gt a` and b for `C_(2)H_(6)`

Text Solution

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The correct Answer is:
C
a is directly related to the magnitude of inter molecular forces and hence to the ease of lique-faction of the gas.
b is a measure of the size of the molecules and hence is inversely related to the case of liquefractio.
Since `Cl_(2)` is more easily liquefied than `C_(2)H_(6)`, a for `Cl_(2) gt a` for `C_(2)H_(6)` and `b` for `Cl_(2) lt b` for `C_(2)H_(6)`
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