Relationship between temperature and pressure?

[paymaant]

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I am confused about one of the problems I came across while studying:

Considering all else constant, in a closed system temperature is:

A)directly proportional to pressure (ACTUAL ANSWER)

B)inversely proportional to pressure (MY ANSWER)



C)inversely proportional to volume





D) depends only on pressure


E) Does not depend on pressure or volume

The answer is A. But I thought increasing the temperature leads to an increase in volume which is essentially a decrease in pressure. This can be proven by Charles' Law. Can anyone help explain this to me?? Thanks!

 

[jmh018]

PV=nRT

If they are on the same side of the = they are inversely proportional. If they are opposite sides of the = they are directly proportional.

T and P are on opposite sides so they are directly proportional.

 

[paymaant]

do we always have to refer to the ideal gas law? I thought referring to charles' law would suffice.

 

[ekephant]

You don't have to stick to the Ideal Gas Law, it's just easier so that you don't mix up all the laws. Charles' law is basically included in the Ideal Gas Law. According to Charles' law V is proportional to T, i.e. V1T1 = V2T2.

Either way the answer you chose is relevant to P and T, not V and T. I believe you just confused it with one of the other gas laws. I would just stick to the Ideal Gas Law to be safe:

PV=nRT or (P1V1)/(n1T1) = (P2V2)/(n2T2)

 

[paymaant]

cool thanks!

 

[chill45]

Also it says to keep everything else constant, so you can only deal with temperature and one other thing. You are saying that temperature is directly proportional to volume, which it is but the pressure would need to stay the same (or decrease at a smaller rate than the temperature is increasing but in this question it says to keep everything else constant). This is where the dat will get you because you have to read the questions VERY carefully and understand exactly what it is saying.