Question

A reaction :
aA $\to$ product
follows zero order kinetics. The concentration of A with respect to time (t) is given as:

• A. $\left[A_0\right]$ = $\left[A\right]-kt$
• B. $\left[A\right]$ = $\left[A_0\right]-akt$
• C. $\left[A\right]$ = $\left[A_0\right]+kt$
• D. $\left[A\right]$ = $\left[A_0\right]-\frac{kt}{a}$

Answer 1

The correct option is B $\left[A\right]$ = $\left[A_0\right]-akt$

$aA\to product$

R = $-\frac{1}{a}\frac{d\left[A\right]}{dt}=k\left(zeroorder\right)$
On integrating both sides we get,
${\int }_{\left[A_0\right]}^{\left[A\right]}d\left[A\right]=-k.a{\int }_0^{t}dt$
On solving above we get,
$\left[A\right]$ = $\left[A_0\right]-akt$