So when comparing K_P to K_C, it's important to understand the value of ΔN. Here we're going to say the value of ΔN can determine if K_C is greater than, less than, or equal to K_P. Remember the equation is K_P equals K_CRT to the ΔN. ΔN represents the moles of gas as products minus the moles of gas as reactants.

We can solve it mathematically to see how K_P and K_C relate to one another if we know what ΔN is. Or we can just simply say if more moles of gas are being produced. So basically you start out with let's say 3 moles of gases reactants and you end up with four moles of gases reactants. Your number of moles of gas has increased. So if more moles of gas are produced, that would mean that ΔN would be equal to or greater than one. Then that would mean K_P is greater than K_C.

So here just remember if ΔN is greater than or equal to 1 then K_P is greater than K_C or K_C is less than K_P. If ΔN is less than 0 then K_C is greater than K_P and if it's equal to 0 then they're equal to one another. Now why is that? Well if we do K_P equals K_CRT to the ΔN and we make ΔN equal to 0. Remember, anything to the zero power equals one. So K_P equals K_C times one. Anything times one is equal to itself. So K_P equals K_C.

So again, we can mathematically figure out what ΔN is to see what the relationship between K_C and K_P is. And remember this relationship. Or you can just simply say that if you have a certain number of moles of gases, reactants and if you go to the product side, there's even more moles of gas product, that means that K_P is going to be larger than K_C. OK. So just you can use that type of logic in order to subvert the math and just look at the question itself in a qualitative matter.

Alright, so let's put to practice what we just learned in the following example and practice questions.