Integrated Rate Equations — Prelims Questions

For a first-order reaction, the rate constant is $2.303 \times 10^{-2},\text{s}^{-1}$. If the initial concentration of the reactant is $1.0,\text{M}$, what will be the concentration after $100,\text{s}$?

A zero-order reaction $A \to P$ has a rate constant of $0.02,\text{mol L}^{-1} \text{s}^{-1}$. If the initial concentration of A is $0.5,\text{M}$, what is the half-life of the reaction?

Which of the following plots represents a first-order reaction?

The half-life of a first-order reaction is $60,\text{minutes}$. How much time will it take for the concentration of the reactant to reduce from $0.8,\text{M}$ to $0.1,\text{M}$?

For a reaction $2A \to B + C$, if a plot of $1/[A]$ versus time ($t$) gives a straight line with a positive slope, what is the order of the reaction and the unit of its rate constant?

A reaction is $50$ complete in $20,\text{minutes}$ and $75$ complete in $40,\text{minutes}$. What is the order of the reaction?