# Quiz | Chemical Kinetics: Rate Laws

What is the rate of the reaction depending of [A] for the reaction 2A + B → C?

$-\frac{\u2206\left[\mathrm{A}\right]}{\u2206\mathrm{t}}$

$\frac{\u2206\left[\mathrm{A}\right]}{\u2206\mathrm{t}}$

$-\frac{1}{2}\frac{\u2206\left[\mathrm{A}\right]}{\u2206\mathrm{t}}$

$\frac{1}{2}\frac{\u2206\left[\mathrm{A}\right]}{\u2206\mathrm{t}}$

What is the overall order of a reaction with a rate of reaction = k [A]^{2 }[B]?

0

1

2

3

What are the units of k for the rate of reaction = k [A]^{2 }[B] (concentration in mol.L^{-1}) ?

s

mol^{-2}.L^{2}.s

mol^{-1}.L^{1}.s^{-1}

mol^{-2}.L^{2}.s^{-1}

What is correct concerning the half-time of a first-order reaction?

t_{1/2} is independent of the initial concentration of the reactant

t_{1/2} is proportional to the initial concentration of the reactant

t_{1/2} is inversely proportional to the initial concentration of the reactant

None of the above

What is correct concerning the half-time of a second-order reaction?

t_{1/2} is independent of the initial concentration of the reactant

t_{1/2} is proportional to the initial concentration of the reactant

t_{1/2} is inversely proportional to the initial concentration of the reactant

None of the above

What is the relationship between [A] and t for a first-order reaction?

ln[A] = ln[A]_{0} + kt

$\frac{\left[\mathrm{A}\right]}{{\left[\mathrm{A}\right]}_{0}}$ = e^{-kt}

$\frac{\left[\mathrm{A}\right]}{{\left[\mathrm{A}\right]}_{0}}$ = e^{t}

$\frac{1}{\left[\mathrm{A}\right]}$ = $\frac{1}{{\left[\mathrm{A}\right]}_{0}}$ + kt