The pressure exerted by an ideal gas is numerically equal to_________ of the mean kinetic energy of translation per unit volume of the gas.
Pressure, ideal gas, and kinetic energy.
Mathematical expression.
According to kinetic theory of gases,
__________ (1)
Where,
is pressure.
is density.
is r.m.s velocity.
Density of gas, ________ (2)
Where,
is Mass.
is volume.
By substituting value of density from equation (2) in equation (1)
_________ (3)
Kinetic Energy of the gas is expressed as,
_________ (4)
By dividing equation (3) by (4),
Hence, the pressure exerted by the ideal gas is two-thirds of the kinetic energy per unit volume.