Calculate the root mean square speed of argon gas at 15 °C. Give your answer in m s^-1.

Question

Quizplus · Accepted Answer

The root mean square speed (rms) of a gas molecule can be calculated using the following formula:

rms speed = √(3RT/M)

where R is the gas constant, T is the temperature in Kelvin, and M is the molar mass of the gas.

For argon gas,
Molar mass = 39.948 g/mol
R = 8.31 J/mol.K
Temperature = (15 + 273.15)K = 288.15K

So, rms speed = √(3 × 8.31 × 288.15 / 39.948) = 424 m/s (approx)

Therefore, the answer is B.

Calculate the Root Mean Square Speed of Argon Gas at 15