Question

Compare the root mean square speeds of O2 and UF6 at 65 degree Celsius

Answer 1

The root mean square speeds of O₂ and UF₆ is 513m/s and 155 m/s respectively.

Solution and Explanation:

• To find how fast molecules or particles of gases move at a particular temperature, the root mean square speed is calculated.
• Root mean square speed of a gas is calculated by using the formula;

`Root mean square=\sqrt{ (3RT)/(M)`

Where R is the molar gas constant, T is the temperature and M is the molar mass of gas in Kg.

Step 1: Root mean square speed from O₂

Molar mass of Oxygen is 32.0 g/mol or 0.032 kg/mol

Temperature = 65 degrees Celsius or 338 K

Molar gas constant = 8.3145 J/k.mol

`Root mean square speed = \sqrt((3)(8.3145)(338K))/(0.032)`

`= 513.289 m/s`

Step 2: Root mean square speed of UF₆

The molar mass of UF₆ is 352 g/mol or 0.352 kg/mol

`Root mean square speed = \sqrt((3)(8.3145)(338K))/(0.352)`

`= 154.762m/s`

Therefore; the root mean square speeds of O₂ and UF₆ is 513m/s and 155 m/s respectively.