Calculate for hydrogen at `27^(@)`
(i) KE of one gram mole of the gas
(ii) KE of one gram of the gas
(iii) root mean square velocity of the molecule. Given, molecule wt. Of hydrogen = 2.

Explanation

To solve the problem step by step, we will calculate the kinetic energy of one gram mole of hydrogen, the kinetic energy of one gram of hydrogen, and the root mean square velocity of the hydrogen molecules.

### Step 1: Calculate the Kinetic Energy of One Gram Mole of Hydrogen

The formula for the kinetic energy (KE) of one mole of an ideal gas is given by:

\[
KE = \frac{3}{2} nRT
...