when to use ln

[Michaela_Dennis_1K]

Hi! I was doing some of the textbook problems and I was confused about when I should use the equation on the equation sheet with ln of the concentrations and when to use the equations with just the concentrations and no natural log. Could someone explain when to use each equation?

[RyanShielsLec3]

Hi!,

There are multiple equations that us natural log including:
ln [A] = -k t + ln 1/[A]o
ln k = - EA + ln A
Eo = RT/nF ln K
E = Eo - RT/nF ln Q
∆G=∆G°+RTlnQ
∆S = qREV ∆S = nR lnV2/v1
∆G°=-RTlnK
and more, via the equation sheet.

Is there a specific one you need help with?

[ivy knabe 3i]

for a first order reaction, you would use the equation with ln when using the integrated rate, it really depends on what you're trying to find

[Ashely_Pavon_2E]

You would use the natural log when determining the half life of a first -order reaction, it is used when the integrated rate is involved. The natural log could also be used when determining the K value when the Activation energy and change in temperature are known.