Combined Gas Law

Definition: This is a not frills gas law. It simply combines three other gas laws (Boyle’s Law, Charles’ Law, and Gay Lussac’s Law) into one so that three variables may be studies together.

Relationships: Same as in the original gas laws being combined.

  • Pressure (P) is indirectly proportional to volume (V)
  • Volume (V) is directly proportional to temperature (T)
  • Temperature (T) is directly proportional to Pressure (P)

Equation:

CGL1

Problem: A sample of 1.5L of hydrogen gas has a temperature of 140ºC and a pressure of 0.68 atm. If the pressure changes to 1 atm and volume to 1L, what is the new temperature?

GIVEN:

V1=1.5L
T1=140º → K Conversion Required → 140°C + 273 = 413K
P1=0.68 atm
P2=1 atm
V2=1L
T2= ?

CGL2

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