P, V, T

Classical Mechanics Level pending

Pressure P P is directly proportional to Temperature and Temperature T T is directly proportional to Volume V V , it proves that Temperature is directly proportional to both Pressure and Volume, it means P = T = V P=T=V .

But why Pressure is not directly proportional to Volume, Pressure and Volume both are inversely proportional to each other, however they both are directly proportional to Temperature, they should be directly proportional to each other, but they are not. why?

All answers are acceptable. PT=nRV PV=nRT TV=nRP

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2 solutions

Abdullah Aqeel
Feb 7, 2016

P Pressure P is directly proportional to Temperature and Temperature T is directly proportional to Volume V, it proves that Temperature is directly proportional to both Pressure and Volume, it means P=T=V. But why Pressure is not directly proportional to Volume, Pressure and Volume both are inversely proportional to each other, however they both are directly proportional to Temperature, the formula applies here is PV=nRT where (nR) =K and P=V/T.

Simply ideal gas law.

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