Question

4. The equation of state for a real gas at high
a
nRT
temperature is given by P
where
V-b 12V/V + b)
n, PV&T are number of moles, pressure, volume &
temperature respectively & R is the universal gas
constant. Find
the dimensions of constant 'a' in the
above equation.
Sol.​

Answer 1

Answer:

PV=nRT=

M

w

RT

Hence, PM=

V

w

RT=ρRT

ρ∝P

Here, ρ=

V

w

n=

M

w

ρ is the density, P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, T is the temperature and M is the molar mass