# 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_{i}T_{f} = V_{f}T_{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_{f}T_{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_{i}T_{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.