Gaseous StateHard

Question

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.

Options

A.only I
B.I & II
C.II & III
D.only II

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 =
TC ∞ 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 (B).

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