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:

v1t1

Example:

Balloon

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:

V1=3.2L
T1= 125°C → K Conversion Required → 125°C + 273 = 398K
T2= ?
V2=1.54L

v1t1example

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