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### Units of k

Posted: Wed Mar 13, 2019 12:39 pm
Can someone show how to derive the units of k for zero, first, and second order reactions?

### Re: Units of k

Posted: Wed Mar 13, 2019 12:43 pm
A Khan Academy video best explains how to derive K without memorization:

### Re: Units of k

Posted: Thu Mar 14, 2019 10:04 pm
The unit of k for a zero-order reaction is mol L-1 s-1; for a first-order reaction is s-1; For a second-order reaction is L mol-1 s-1.

### Re: Units of k

Posted: Thu Mar 14, 2019 10:41 pm
since the equation for rate law is rate=k[A]^n, and the units for rate is mol/(L*s) and the units for [A]^n is (mol/L)^n, you can derive the units for k just by solving for units depending on the value of n.

### Re: Units of k

Posted: Thu Mar 14, 2019 10:58 pm
Zero-order reaction is mol L-1 s-1
First-order reaction is s-1
Second-order reaction is L mol-1 s-1.

### Re: Units of k

Posted: Sun Mar 17, 2019 12:57 am
we know that the units for rate are mol.L-1.s-1

Zero order: rate =k[A]^0
so units of k have to be the same as the units for the rate

First order: rate =k[A]
the multiplication of the units of k and units of concentration of A (i.e mol.L-1) should result in the units for the rate; thus, units of k is s^-1

You can do the same for second order and so on!