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SupraZinc3154

I am currently having some trouble figuring out what should be over what in a pressure ratio. I’m working on a question at the moment and know how to follow through the question until the last step. In my calculation I got

(2)(P1)/(n1)(293)=(0.5)(P2)/(0.5n1)(253)

which I simplified down to:

253 P1 = 146.5 P2

but now I’m stuck ( don’t know if I should put 146.5P2/253P1 or 253P1/146.5P2) would someone be able to explain why it’s one over the other?

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ThonLucide8631

Hi SupraZinc3154!

You must use this formula first :

P1 . V1/n1.T1. = P2.V2/n2.T2

With this relation: n2 = n1 /2

Second, place the relation in the formula:

P1V1 / n1T1 = P2V2 / 0,5 n1 T2

The ratio is P1/P2 so:

P1/P2 = n1.T1.V2 / 0,5.n1.T2.V1

Simplify:

P1/P2 = T1.V2 / 0,5 T2.V1

So

P1/P2 is the correct ratio.

I hope this solution will help you!

Thank you for your request!

ThonLucide8631