# Charles’ Law

**Definition**: Charles’ Law describes the *relationship between Temperature (T) and Volume (V)* while the number of moles (n) and pressure (P) remain constant.

**Relation**: *T and V are directly proportional* so as temperature increases, volume increases—and vise versa

T α V

**Equation**:

**Example:**

Up, Up, and Away! A hot-air balloon uses Charles’ Law to help it fly. As the gas inside the balloon is heated (↑ T), the balloon inflates (↑V). The warm air then rises, and so does the balloon.

http://commons.wikimedia.org/wiki/File:Flames_from_burner_in_hot_air_balloon.JPG

**Problem**: A sample of carbon monoxide gas occupies 3.20 L at 125°C. At what temperature will the gas occupy a volume of 1.54 L if the pressure remains constant?

GIVEN:

V_{1}=3.2L

T_{1}= 125°C → *K Conversion Required* → 125°C + 273 = 398K

T_{2}= ?

V_{2}=1.54L

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