The initial rate in mole/Llmin, if the initial concentration of the compound involved is 0.50 mol/L is 0.20 mol/L/min.
Using the rate law for a first-order reaction is given by the equation:
Rate = k * {Reactant}
In this case, the rate constant k is given as 0.40/min, and the initial concentration Reactant is 0.50 mol/L.
Rate =

Now, calculate the initial rate:
Rate =

So, the correct answer is option (a) 20. The initial rate is 0.20 mol/L/min.