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Question: Which of following statement (s) is true I – Slope of isotherm at critical point is maximum. II – ...

Which of following statement (s) is true

I – Slope of isotherm at critical point is maximum.

II – Larger is the value of TC easier is the liquification of gas.

III – Vander waals equation of state is applicable below critical temperature at all pressure.

A

Only I

B

I& II

C

II & III

D

only II

Answer

I& II

Explanation

Solution

I – Slope of isotherm below critical point < 0.

Slope of isotherm above critical point < 0.

Slope of isotherm at critical point = 0.

So slope of isotherm at critical point is maximum.

II – TC = 8a27Rb\frac { 8 \mathrm { a } } { 27 \mathrm { Rb } }

TC \propto a

Larger value of TC It means less decreases in temperature is required to liquifly the gas. Gas will liquify at higher temperature. So, easier'll be liquification.

III – When gas is below critical temperature. It is 'liquid' so vander waal equation of state is not valid.

So, Answer (2).