The reaction A → B + C is known to be zero order in A with a rate constant of 3.8× 10–2 mol/L • s at 25° C. An experiment was run at 25°C where [A]0 = 1.0 × 10–3 M. What is the rate after 6.5 minutes? Group of answer choices

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Answer:

The rate is 0.038 M/s

Explanation:

The reaction follows a zero order

Let the concentration of A after 6.5 minutes be y

Rate = k[y]^0 = change in concentration/time

k (rate constant) = 3.8×10^-2 mol/L.s

Initial concentration of A = 1×10^-3 M

Change in concentration = 1×10^-3 - y

Time = 6.5 minutes = 6.5×60 = 390 seconds

3.8×10^-2×1 = 1×10^-3 - y/390

0.001 - y = 0.038×390

0.001 - y = 14.82

y = 0.001 - 14.82 = -14.819 M

Rate = change in concentration/time = [0.001 - (-14.819)]/390 = (0.001+14.819)/390 = 14.82/390 = 0.038 M/s

The rate after 6.5 minutes is 0.038m/s.

This is a zero order reaction.

We can depict the concentration of A after 6.5 minutes be x

Rate = k[y]⁰ = change in concentration/time

Rate constant is represented as k = 3.8×10⁻² mol L⁻¹ s⁻¹

Initial concentration of A = 1×10⁻³ M

Change in concentration = 1×10⁻³ - x

The rate after 6.5 minutes

Time = 6.5 minutes = 6.5×60 = 390s.

3.8×10⁻² ×1 = 1×10⁻³ - x/390

0.001 - x = 0.038×390

0.001 -x = 14.82

x = 0.001 - 14.82 = -14.819 M

Rate = change in concentration/time

= [0.001 - (-14.819)]/390 = (0.001+14.819)/390

= 14.82/390

= 0.038 M/s.

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