The unit of rate constant for a zero order reaction is

What is the half-life time of a reaction? Derive the equation of half-life time $(t_{1/2})$ for a zero-order reaction.

The plot of concentration of a reactant versus time for a chemical reaction is shown below. The order of this reaction with respect to the reactant is

What is the formula to find the value of $t_{1/2}$ for a Zero Order Reaction?

The rate constant for a zero order reaction $A \rightarrow$ products is $0.0030 \ mol \ L^{-1} \ s^{-1}$. How long will it take for the initial concentration of $A$ to fall from $0.10 \ M$ to $0.075 \ M$ (in $s$)?

Mention True $(T)$ and False $(F)$ statement of the following for reaction $R \to P$.
Rate $= -\frac{d[R]}{dt} = k[R]^0$
Rate $= -\frac{d[R]}{dt} = k$