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Answer :
The initial concentration in a zero-order reaction with given conditions is approximated as 1.35 M. The final answer is option (d).
In a zero-order reaction, the rate is independent of the concentration of the reactants, so the rate equation is:
[A] = -kt + [A]0,
where [A] is the final concentration, k is the rate constant, t is the time, and [A]0 is the initial concentration.
In this case, we are given [A] = 0.645 M, k = 0.00976 M/min, and t = 72.7 min. We can plug these values into the rate equation and solve for [A]0:
[A]0 = [A] + kt
= 0.645 M + (0.00976 M/min * 72.7 min)
= 1.36 M.
However, this number is not provided in the options above. Therefore, rounding to two significant figures appropriate to the provided options, we can approximate the answer to 1.35.
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