For the hypothetical reaction A → B, calculate the average rate of disappearance of A if the initial concentration of A is 0.91 M and the concentration of A after 90 minutes is 0.11 M.
a. 8.9 * 10^-3 M/min
b. -8.9 * 10^-3 M/min
c. 8.9 * 10^-3 M/min
d. 0.80 M/min

Respuesta :

Answer: The average rate of disappearance of A is [tex]8.9\times 10^{-3}M/min[/tex]

Explanation:

The given chemical reaction follows:

[tex]A\rightarrow B[/tex]

The average rate of the reaction for disappearance of A is given as:

[tex]\text{Average rate of disappearance of A}=-\frac{\Delta [A]}{\Delta t}[/tex]

Or,

[tex]\text{Average rate of disappearance of A}=-\frac{C_2-C_1}{t_2-t_1}[/tex]

where,

[tex]C_2[/tex] = final concentration of A = 0.11 M

[tex]C_1[/tex] = initial concentration of A = 0.91 M

[tex]t_2[/tex] = final time = 90 minutes

[tex]t_1[/tex] = initial time = 0 minutes

Putting values in above equation, we get:

[tex]\text{Average rate of disappearance of A}=-\frac{0.11-0.91}{90}\\\\\text{Average rate of disappearance of A}=8.9\times 10^{-3}M/min[/tex]

Hence, the average rate of disappearance of A is [tex]8.9\times 10^{-3}M/min[/tex]

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