[Foobarz]

Okay so the combined gas law is (P₁V₁)/T₁ = (P₂V₂)/T₂. And Avogadro's law is n₁/V₁ = n₂/V₂. My question is can these two be combined to show that Pressure is also directly proportional to number of moles and that temperature is indirectly proportional to number of moles, shown by n₁/P₁ = n₂/P₂ and n₁*T₁ = n₂*T₂ ?

[Borek]

Technically there is nothing wrong with such approach. You just have to remember these equations will hold only with assumption that all other parameters are kept constant.

[fledarmus]

yes - once you put everything together in the ideal gas law, you can hold anything you want constant and find out how anything else will change.

P₁V₁ = P₂V₂
n₁T₁    n₂T₂

[Foobarz]

So number of moles is inversely proportional temperature? Could someone explain that to me?

[juanrga]

So number of moles is inversely proportional temperature? Could someone explain that to me?

If pressure and volume are the same you get $$ n_1 T_1 = n_2 T_2 /$$

This is correct. If you increase the number of molecules $$ N /$$, you are dividing the energy between more particles and, thus, the average energy

$$ \langle E \rangle = \frac{E}{N} /$$

And temperature is related to average energy

$$ T \prop \langle E \rangle /$$

[Foobarz]

But that means if you remove moles of a gas, the temperature goes up? How does that make sense?

[Foobarz]

Oh wait, never mind, I forgot that P and V have to be constant. So the lesser number of moles have to move faster (higher temperature) to maintain the same volume and pressure as the original number of moles.

Thank you all for your explanations!