The critical constant of a gas are as follows :
`P_(c )=45.6" atm", V_(c )=0.0987" L " mol"^(-1)` and `T_(c )=190.6" K "`.
Calculate the van der Waals constants of the gas. Also calculate the radius of the gas molecule assuming it to be spherical.

Explanation

To solve the problem, we need to calculate the van der Waals constants \( a \) and \( b \) for the gas using the given critical constants \( P_c \), \( V_c \), and \( T_c \). We will then calculate the radius of the gas molecule assuming it to be spherical.

### Step 1: Calculate the van der Waals constant \( b \)

The relationship between the critical volume \( V_c \) and the van der Waals constant \( b \) is given by:
\[ V_c = 3b \]
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