That means that the heat capacity of an ideal gas at a fixed volume is 3k/2 per particle, or 3kN_a/2 per mole, where N_a is Avagadro's constant. That comes out to 12.47 Joules per mole per Kelvin. We can now check this against something like helium, and what do you know,
Temperature and the Sackur–Tetrode Equation