The critical constants for water are `647 K`, `22.09 MPa`, and `0.0566 dm^(3) mol^(-1)`. Calculate the values of `a`, `b` and `R` and explain the abnormal value of `R`.

Explanation

To solve the problem, we need to calculate the values of \( a \), \( b \), and \( R \) using the given critical constants for water:

- Critical temperature, \( T_c = 647 \, K \)
- Critical pressure, \( P_c = 22.09 \, MPa = 22.09 \times 10^3 \, kPa \)
- Critical volume, \( V_c = 0.0566 \, m^3/mol = 0.0566 \, dm^3/mol \)

### Step 1: Calculate \( b \)

...