To determine the final volume of the balloon after heating it from 20°C to 25°C, we need to make use of Charles's Law, which states that the volume of a gas is directly proportional to its temperature when pressure remains constant.
The equation representing Charles's Law is:
V1 / T1 = V2 / T2
where V1 is the initial volume, T1 is the initial temperature, V2 is the final volume, and T2 is the final temperature.
Given: Initial volume (V1) = 4 liters Initial temperature (T1) = 20°C Final temperature (T2) = 25°C
Now, we can solve the equation for the final volume (V2):
V2 = (V1 * T2) / T1
Substituting the given values:
V2 = (4 liters * 25°C) / 20°C V2 = (100 liters * °C) / °C V2 = 100 liters
Therefore, the volume of the balloon after heating it to a temperature of 25°C will be 100 liters.