How to Calculate Volume Changes with Temperature using Charles's Law

Given the initial volume of a balloon at a certain temperature, how can we determine the new volume when the temperature changes?

What will be the volume of the balloon if you take it out into the winter cold air at a lower temperature?

Answer:

Using Charles's law, V1/T1 = V2/T2, we can calculate the new volume of the balloon.

Charles's law describes the relationship between the volume and temperature of a gas at constant pressure. According to this law, the volume of a gas is directly proportional to its absolute temperature.

In the given scenario, the initial volume of the balloon is 1.75 liters at a temperature of 298 Kelvin. If we take the balloon out into the winter cold air at 258 Kelvin, we can calculate the new volume using Charles's law formula.

Using the formula V1/T1 = V2/T2, where V1 is the initial volume, T1 is the initial temperature, V2 is the new volume, and T2 is the new temperature, we can determine the new volume of the balloon.

Substitute the given values into the formula: (1.75 L)/(298 K) = V2/(258 K). Solve for V2 to find the new volume of the balloon, which will be approximately 1.51 liters.

Therefore, if you take the balloon out into the winter cold air at 258 Kelvin, the volume of the balloon will decrease to around 1.51 liters.