The van der Waal's equation for a real gas may be rearranged to give
V_m³ − (b + RT/P)V_m² − (a/P)V_m − ab/P = 0
where V_m is the molar volume of the gas. Indicate the correct statement(s) amongst the following:

Question

The van der Waal's equation for a real gas may be rearranged to give

V_m³ − (b + RT/P)V_m² − (a/P)V_m − ab/P = 0

where V_m is the molar volume of the gas. Indicate the correct statement(s) amongst the following:

TestHub · Accepted Answer

The cubic in V m has: above T c one real root and two imaginary roots (a ✓); exactly at T c three coincident real roots (V m = V c , the critical point) (b ✓); below T c three real roots (the largest and smallest corresponding to vapour and liquid) (c ✓). Statement (d) is therefore wrong. Hence (a), (b), (c).

Chemistry - Real Gas Question with Solution | TestHub

Options:(select one or more)

Doubts & Discussion