Charles' Law:
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.
Charles' Law Formula :
Gas Equation: Vi/Ti = VfTf
Initial Volume(Vi) = VfTi / Tf
Initial Temperature(Ti) = ViTf / Vf
Final Volume(Vf) = ViTf / Ti
Final Temperature(Tf) = VfTi / Vi
where,
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
Step 1: 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
Step 1: 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.
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