The pressure of an ideal gas is given by the expression p = 2E 3V . In this formula, E denotes the

Step-by-step solution

The pressure of an ideal gas according to the kinetic theory of gases is given by p = 1 3 v_ rms ^2 Since density = M V , where M is the total mass of the gas and V is the volume, we get p = 1 3 M V v_ rms ^2 The translational kinetic energy of the gas molecules is given by E = 1 2 M v_ rms ^2 From this, we can write M v_ rms ^2 = 2E Substituting this into the expression for pressure, we obtain p = 1 3V (2E) = 2E 3V Thus, E represents the translational kinetic energy of the ideal gas.