In the reaction, A → Products, the rate constant is 3.6 × 10−4 s−1. If the initial concentration of A is 0.548 M, what will be the concentration of A (in M) at t = 99.2 s? Only enter the numerical value with three significant figures in the answer box below. Do NOT type in the unit (M).

Answers

Answer 1
Answer:

The value of the concentration of A is 0.529.

Since the rate constant has units of s⁻¹, we can tell that the order of the reaction is 1.

Rate of first -order reaction,

(A)=A_(0) e^(-kt)

Here, A_(0) is the initial concentration, t is the time, A is the final concentration, and k is the rate constant.

Substitute the given value values in the equation as follows,

(A)=0.548M e^{-3.6*10^{-4s^(-1)*99.2s } } \n=0.529M

The concentration of A in (M) is 0.529.

Find more information about first- order reaction here,

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Answer 2
Answer:

Answer:

        \large\boxed{\large\boxed{0.529M}}

Explanation:

Since the rate constant has units of s⁻¹, you can tell that the order of the reaction is 1.

Hence, the rate law is:

       r=d[A]/dt=-k[A]

Solving that differential equation yields to the well known equation for the rates of a first order chemical reaction:

      [A]=[A]_0e^(-kt)

You know [A]₀, k, and t, thus you can calculate [A].

       [A]=0.548M* e^{-3.6\cdot 10^(-4)/s*99.2s}

       [A]=0.529M


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