Final answer:
To calculate the volume of the balloon when it is moved from a freezer at 0 °C to a warm room at 30 °C, Charles's Law is used, which indicates that the volume of a gas changes in direct proportion to its temperature in Kelvin under constant pressure.
Step-by-step explanation:
The question involves a balloon with a volume of 0.5 L being moved from a freezer at 0 °C to a warm room at 30 °C. To determine the new volume of the balloon in the warm room, we can apply Charles's Law, which states that the volume of a gas is directly proportional to its temperature in Kelvin, assuming the pressure and the amount of gas remain constant. To solve for the new volume, we'll first convert the temperatures from Celsius to Kelvin (0 °C = 273.15 K and 30 °C = 303.15 K) and then use the formula 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.
By rearranging the formula to solve for V2, we get V2 = V1 × (T2/T1). Plugging in the values, it would be 0.5 L × (303.15 K / 273.15 K). After performing the calculation, we find that the volume of the balloon in the warm room has increased due to the rise in temperature.