How to rearrange the given equation for A: ln (Ao/A) = k*t
Multiply both sides by A then divide by kt
A = Ao/kt
I am assuming the * means multiplication.
what about the ln? (natural log)
ln(Ao/A)=kt => (Ao/A)=e^kt
=> Ao/e^kt=A => A=Aoe^-kt (1st order integrated rate law)
To rearrange the given equation for A, ln(Ao/A) = k*t, we can follow the steps below:
Step 1: Begin with the original equation:
ln(Ao/A) = k*t
Step 2: Apply the property of natural logarithm to eliminate the natural logarithm from the equation:
Ao/A = e^(k*t) (where e is the base of the natural logarithm)
Step 3: Cross-multiply to isolate A:
A*e^(k*t) = Ao
Step 4: Divide both sides of the equation by e^(k*t):
A = Ao / e^(k*t)
Therefore, the rearranged equation for A is A = Ao / e^(k*t).