Question

The following data were obtained for the reaction 2A + B ® C where rate = D[C]/Dt

[A](M)
[B](M)
Initial Rate (M/s)
0.100
0.0500
2.13 ´ 10-3
0.200
0.0500
1.70 ´ 10-2
0.400
0.100
1.36 ´ 10-1

What is the value of the rate constant?

Group of answer choices

0.426

1.70

0.213

2.13

whars the answer

Answer 1

The value of the rate constant for the given reaction is 0.2125 M⁻²s⁻¹.

Step-by-step explanation:

To determine the rate constant for the reaction 2A + B → C, we can use the rate equation rate = k[A]²[B]⁰.

In this case, the order with respect to A is 2 and the order with respect to B is 0.

From the given data, we can use the initial rates of each experiment to calculate the rate constant.

Taking the second experiment where [A] = 0.200 M and [B] = 0.0500 M, and the initial rate is 1.70 × 10⁻² M/s, we can substitute these values into the rate equation and solve for k:

(1.70 × 10⁻² M/s) = k(0.200 M)²(0.0500 M)⁰

k = 1.70 × 10⁻² M/s / (0.200 M)²

= 0.2125 M⁻²s⁻¹