# 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:**

**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:

V_{1}=1.5L

T_{1}=140º → K Conversion Required → 140°C + 273 = 413K

P_{1}=0.68 atm

P_{2}=1 atm

V_{2}=1L

T_{2}= ?

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