The rms speed can be calculated using the following rule: rms = sqrt ((3RT) / (M)) where: R is the gas constant = 8.314 J/mol-K T is the temperature = 31.5 + 273 = 304.5 degrees kelvin M is the molar mass = 2*14 = 28 grams = 0.028 kg
Substitute with the givens to get the rms speed as follows: rms speed = sqrt [(3*8.314*304.5) / (0.028)] = 520.811 m/sec