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Charles’ Law states that the volume of a given amount of gas is directly proportional to the temperature provided the amount of gas and the pressure remain fixed.
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Gas Equation: Vi/Ti = Vf/Tf or Vf/Vi = Tf/Ti or ViTf = VfTi
- Vi = Initial Volume,
- Ti = Initial Temperature,
- Vf = Final Volume.
- Tf = Final Temperature,
Charles’ Law Example:
Case 1: A certain amount of gas occupies a volume of 60 L at 300 K temperature. Find the temperature of the gas which has a volume of 100 L. Vi = 60 L, Ti = 300 K, Vf = 100 L
Substitute the values in the below final temperature equation: Final Temperature(Tf) = VfTi / Vi = (100 x 300) / 60 = 30000 / 60 Final Temperature(Tf) = 500 K This example will guide you to calculate the final temperature manually. Case 2: Find the final volume of gas at 100 K, if the volume of gas is 5 L at 120 K. Vi = 5 L, Ti = 120 K, Tf = 100 K
Substitute the values in the below volume equation: Final Volume(Vf) = ViTf / Ti = (5 x 100) / 120 = 500 / 120 Final Volume(Vf) = 4.167 L This example will guide you to calculate the volume manually.