# 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.

### Calculator of Charles’ Law

 I want to calculate Final Temperature(Tf) Initial Volume(Vi) Initial Temperature(Ti) Final Volume(Vf) Initial Volume(Vi) = L Initial Temperature(Ti) = K Final Temperature(Tf) = L Final Temperature(Tf) = K

### Charles’ Law:

Gas Equation: Vi/Ti = Vf/Tf or Vf/Vi = Tf/Ti or ViTf = VfTi

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. 