Zero and First Order Reactions — Prelims Questions

For a zero-order reaction, the plot of concentration of reactant versus time is a straight line with a negative slope. What does the slope of this line represent?

The half-life of a first-order reaction is $60,\text{minutes}$. If the initial concentration of the reactant is $0.5,\text{M}$, what will be the concentration after $180,\text{minutes}$?

Which of the following statements is INCORRECT regarding a zero-order reaction?

A first-order reaction is $20$ complete in $10,\text{minutes}$. Calculate the rate constant ($k$) for this reaction.

For a zero-order reaction, if the initial concentration of the reactant is doubled, how does its half-life change?

The decomposition of $N_2O_5$ in carbon tetrachloride at $318,\text{K}$ is a first-order reaction with rate constant $k = 4.0 \times 10^{-2},\text{min}^{-1}$. Calculate the time required for $N_2O_5$ to be reduced to $0.25$ of its initial concentration.