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In the reaction A + B → C, the initial concentration of A is 0.054 M. After 1.5 minutes, [A] = 0.032 M. Calculate the rate of the reaction in M/sec.

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Answer:

2.4 × 10⁻⁴ M/s

Step-by-step explanation:

Step 1: Given data

  • Initial concentration of A ([A]₀): 0.054 M
  • Concentration of A after a certain time ([A]): 0.032 M
  • Time (t): 1.5 min

Step 2: Convert the time to seconds

We will use the relationship 1 min = 60 s.


1.5min * (60s)/(1min) =90s

Step 3: Calculate the rate of the reaction

Since A is a reactant, we will calculate the rate of the reaction (r) using the following expression.


r=-(\Delta [A])/(t) =-([A]-[A]_0)/(t) =-(0.032M-0.054M)/(90s) =2.4 * 10^(-4) M/s

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