The equation of state for a real gas such as hydrogen, oxygen, etc. is called the Van der Waals equation: ( P + V 2 a ) ( V − b ) = n RT , where a and b are constants of the gas. The dimensional formula of constant a is:

V 2 a has the dimension of pressure, so a = [ P ] [ V 2 ] = M L − 1 T − 2 ⋅ L 6 = M L 5 T − 2 . A.

Start Free Mock LoginAlready registered? Login here

Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoKinetic Theory of Gases and Gas LawsMedium2 minQB

PhysicsMediumsingle choice

The equation of state for a real gas such as hydrogen, oxygen, etc. is called the Van der Waals equation: $(P + \frac{a}{V ^{2}}) (V - b) = n RT$ , where $a$ and $b$ are constants of the gas. The dimensional formula of constant $a$ is:

Options:

Answer:

Solution:

$\frac{a}{V ^{2}}$ has the dimension of pressure, so

$a = [P] [V^{2}] = M L^{- 1} T^{- 2} \cdot L^{6} = M L^{5} T^{- 2}$ .

Subject:PhysicsTopic:Heat & ThermoSubtopic:Kinetic Theory of Gases and Gas Laws

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...