The equation of state of a real gas can be expressed as
Where P is the pressure, V the volume T the absolute temperature and a, b and c are constants. What are the dimensions of a?
The equation of state for n moles of an ideal gas is
Where R is the universal gas constant and P, V and T have the usual meanings. What are the dimensions of R?
The SI unit of the universal gas constant R is
Time period T of a simple pendulum may depend on m, the mass of the bob, l, the length of the string and g, the acceleration due to gravity, i.e.
What are the values of a, b and c?