What is the relationship of pressure and temperature for gases?
- lenpol7Lv 71 month ago
The equation is
P(1)/T(1) = P(2) / T(2)
- Anonymous2 months ago
Temperature goes up, pressure goes up.
- Anonymous2 months ago
Friends with benefits, but one always ends up falling in love.
- Dr WLv 72 months ago
If the gas is an ideal gas, we can say
.. "the pressure of a gas is directly proportional to the absolute
... temperature of the gas".
.. P/T = k.
If not ideal, we may have some complicated relationship like..
.. P = ((nR)/(V-nb)) * T - an² /V² .. which is of the form P = m*T + b
.. P = ρ RT + (BoRT - Ao - Co/T² + Do/T³ - Eo/T⁴ )ρ³ +(bRT - a
.. .. .. - d/T)ρ ³ + α(a + d/T)α⁶ + cp³ /T²(1 + γρ² ) exp(-γρ² )
which are clearly NOT directly proportional
for the case of an ideal gas, we can write
.. P1V1 / (n1T1) = P2V2 / (n2T2)
and IF n and V are constant.. i.e.. n1=n2 and V1=V2, those terms drop
.. P1/T1 = P2/T2
This is known as "Amonton's law" and often ERRONEOUSLY named "Gay-Lussac's law"
Note the word erroneously... And by often I mean by a whole herd of misled chemists. It's like one chemist says
.. .. .. P1V1 = P2V2.... Boyle discovered that.. let's call it Boyles law
.. . .. .V1/T1 = V2/T2.. Charles discovered that.. let's call it Charles law
.. ..... V1/n1 = V2/n2.. Avogadro discovered that.let's call it Avogadro's law
... . .. P1V1/T1 = P2V2/T2.. that's all 3 combined.. "combined gas law"
.. . ....P1/T1 = P2/T2.. what on Earth shall we call that?
.. .. ...the big names in the world of Chemistry and Physics that studied
.. ..... gases were Boyle, Charles, Avogadro and.. Gay Lussac who
.. . .. .basically worked on Charles' law. So let's name that last one after
.. . ....Gay-Lussac"... why not!
.. . soooo let's do this
.. . . ..P1/T1 = P2/T2... is now called Gay-Lussac's law. ('cause we say so)
then those misled chemists.. propagate that erroneous name to countless generations of more mislead chemists.
Folks, students, chemists, etc out there... the proper name for the relationship between P and T of an IDEAL GAS is "Amonton's law" named after Guillaume Amontons who discovered it 100 years before Gay-Lussac was born....
general chemistry textbooks
.. Zumdahl - Chemistry
.. Chang - Chemistry
.. Tro - Chemistry a molecular approach
.. Brown - Chemistry the central science
.. Petrucci - General chemistry Principles and applications
.. Silberberg - chemistry molecular nature of matter and change
ALL of those are used by high schools and Universities as AP and general chemistry textbooks. ALL of those cover Boyles law, Charles law, Avagodro's law, combined gas laws, ideal gas laws and other equations of state. NONE name P1/T1 = P2/T2 "Gay-Lussac's law". in fact, none even mention P1/T1 = P2/T2
so.. anybody tells you
.. P1/T1 = P2/T2... then stands up and shouts out "GAY-LUSSAC'S LAW"
kindly correct them
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- Roger the MoleLv 72 months ago
Gay-Lussac's law (or Amontons' law) says pressure and temperature (in Kelvin) are directly proportional.
- derframLv 72 months ago
For a fixed volume and mass of gas, pressure will be directly proportional to absolute temperature. PV=nRT
- JimLv 72 months ago
n is moles, R is gas constant (use correct one!), T is temp in K (C+273.15)
Since you have a before and after with the same n &R simplifies to
PV/T initial = nR = PV/T final
Now sub in your numbers and solve
SI Units R values:
0.082057 L atm mol-1K-
US Customary Units R values: