On the right side we haveĮ to the negative kt. We have our concentration over the initial concentration.
So we're gonna take e to both sides here and that's gonna get So we're going to exponentiate both sides. And this is equal to negative kt, where k is your rate constant. That's the same thing as the natural log of the concentration of A over the initial concentration of A. So over here on the left, the natural log of the concentration of A at time t minus the natural log of the
Going with the math here, so we eventually will Here we have one form of the integrated rate law forĪ first order reaction.