The rate of formation of B is:
\[ \frac{d[\text{B}]}{dt} = k_1[\text{A}] - k_2[\text{B}]. \]
For the rate of formation of B to be zero:
\[ \frac{d[\text{B}]}{dt} = 0. \]
Substitute:
\[ k_1[\text{A}] - k_2[\text{B}] = 0. \]
Rearrange to find [B]:
\[ k_1[\text{A}] = k_2[\text{B}] \implies [\text{B}] = \frac{k_1}{k_2}[\text{A}]. \]
Thus, the concentration of B is:
\[ [\text{B}] = \left(\frac{k_1}{k_2}\right)[\text{A}]. \]
Initial concentration of [𝐴] 𝑚𝑜𝑙 $𝐿 ^{−1}$ | Initial concentration of [𝐵] 𝑚𝑜𝑙$𝐿 ^{−1}$ | Initial rate of formation of [𝐶] 𝑚𝑜𝑙 $𝐿^{−1} 𝑠 ^{−1}$ |
0.2 | 0.2 | 0.3 |
0.4 | 0.2 | 0.6 |
0.4 | 0.4 | 2.4 |