The initial concentration of reactants in a first order reaction is 0.27 M. The rate constant for the reactio is 0.75 s^-1. What is the concentration of reactants after 1.5sec?

Final concentration = 0.019 M

Explanation:

Initial Concentration [A]o = 0.27M

Rate constant, k = 0.75 s^-1

Final concentration [A] = ?

Time, t = 1.5s

The relationship between the variables is given by the equation;

ln[A] = ln[A]o - kt

ln[A] = ln(0.27) - (0.75)(1.5)

ln[A] = - 1.309 - 1.125

ln[A] = - 2.434

[A] = 0.019 M