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Question

Which of the following statement(s) is/are true:
I - Slope of isotherm at critical point is maximum.
II - Larger the value of Tc, easier is the liquefaction of gas.
III - van der Waals' equation of state is applicable below critical temperature at all pressures.

A
Only I
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B
I & II
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C
II & III
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D
Only II
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Solution

The correct option is B I & II
I - Slope of isotherm below critical point <0.
Slope of isotherm above critical point <0.
but slope of isotherm at critical point =0.
So slope of isotherm at critical point is maximum.
II. As Tc=8a27Rb Tc(a/b)
Larger value of Tc means less decrease in temperature is required to liquefy the gas. So, easier will be the liquefaction.
III. When a gas is below the critical temperature, it is a 'liquid' so van der Waals equation of state in not valid.
Hence, the correct answer is option (b).

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