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

Charles' Law:

Gas Equation: V_i/T_i = V_f/T_f or V_f/V_i = T_f/T_i or V_iT_f = V_fT_i

where,

• V_i = Initial Volume,
• T_i = Initial Temperature,
• V_f = Final Volume.
• T_f = 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. V_i = 60 L, T_i = 300 K, V_f = 100 L

Step 1:

Substitute the values in the below final temperature equation: Final Temperature(T_f) = V_fT_i / V_i = (100 x 300) / 60 = 30000 / 60 Final Temperature(T_f) = 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. V_i = 5 L, T_i = 120 K, T_f = 100 K

Step 1:

Substitute the values in the below volume equation: Final Volume(V_f) = V_iT_f / T_i = (5 x 100) / 120 = 500 / 120 Final Volume(V_f) = 4.167 L This example will guide you to calculate the volume manually.