Calculate the rms speed of the carbon dioxide molecules in the air if the temperature is 15.0 °C.Note: The mass of the carbon dioxide molecule is 44.01 u.

Question

Quizplus · Accepted Answer

The rms speed of gas molecules can be calculated using the following formula:

vrms = (3RT/M)1/2

Where:
R = gas constant (8.31 J/(mol.K))
T = temperature (in Kelvin)
M = molar mass of the gas (in kg/mol)

Converting the temperature to Kelvin:

T = 15.0 °C + 273.15 = 288.15 K

Converting the molar mass to kg/mol:

M = 44.01 g/mol = 0.04401 kg/mol

Plugging in the values:

vrms = (3 x 8.31 x 288.15 / 0.04401)1/2 
      = 404.15 m/s

Therefore, the answer is D) 404 m/s.

Calculate the Rms Speed of the Carbon Dioxide Molecules in the Air