Question #123628

The initial concentration of reactant in a first-order reaction is 0.27 M. The rate constant for the reaction is 0.75 s−1. What is the concentration (in mol/L) of reactant after 1.5 seconds?

Expert's answer

The first order reaction law of kinetics is "t=" "2.303 \\over k" "log" "a\\over (a-x)"

Where t= time taken for the reaction "= 1.5" seconds.

k= the rate constant "=0.75s^{-1}"

a is the initial amount of reactant "=0.27 M"

(a-x) is the amount left "= unknown"

"1.5=" "2.303\\over 0.75" "log" "0.75\\over (a-x)"

"1.5=(3.071) log" "2.7\\over (a-x)"

"(a-x)=0.087" mol/L

The amount of concentration left after "1.5" seconds "=" "0.087 mol\/L"

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