Question

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

Answer 1

Answer:

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;

       $Root mean square=\sqrt{ \frac{3RT}{M}$

       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

$Root mean square speed = \sqrt\frac{(3)(8.3145)(338K)}{0.032}$

                                        $= 513.289 m/s$

Step 2: Root mean square speed of UF₆  

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

$Root mean square speed = \sqrt\frac{(3)(8.3145)(338K)}{0.352}$

                                                 $= 154.762m/s$

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