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Charles' Law Tutorial

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Charles' Law Tutorial

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: V_i/T_i = V_fT_f
Initial Volume(V_i) = V_fT_i / T_f
Initial Temperature(T_i) = V_iT_f / V_f
Final Volume(V_f) = V_iT_f / T_i
Final Temperature(T_f) = V_fT_i / V_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.

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