What is the relationship between the following variables: P&V, P&T, V&T. For each of these functions, what c

Question

conditions must be held constant :)

Answer 1

P and V are inversely proportional at constant temperature, so
PV = Ct

P and T are proportional at constant volume, accordingly:

P/T = Cv

V and T are proportional at constant pressure.

V/T = Cp

Search on the web the Dalton's law, the Charles law and Gay-Lussac's law.

Answer 2

From what I remember of gases you need to think of the problem though your looking at gas in a balloon (a balloon that wouldn't pop).

Theoretically if you took a strong enough balloon and pushed on it (applied pressure or "P") to it, you could force the molecules of the gas closer together, making the balloon smaller or decreasing it's volume. So as P increases, V decreases or as P decreases V increases.

I believe the way they look at temperature is that if you're applying more pressure to the system, the molecules are coming closer together and thus they will collide more often as they are now in a smaller space which means they are moving faster, or in other words, the temperature increases. So as P increases T increases, or as P decreases, T decreases.

Since volume and pressure are related so closely and as one gets bigger the other gets smaller, we can say that if more pressure causes the volume to get smaller and also causes the temperature to go up, then a smaller volume causes a higher temperature. So as V decreases T increases or as V increases T decreases.

I'm pretty sure that's all correct. Someone tell me if I'm wrong. hehe

Answer 3

P increases V decreases
P increases T increases
V increases T is unchanged

PV=nRT

Answer 4

T and P
T and V
V and n
P and n
( all above are directly proportional )
whereas P and V are inversely proportional