An arctic weather balloon is filled with 33.3 L of helium gas inside a prep shed. The temperature inside the shed is 9 degrees Celsius. The balloon is then taken outside where the temperature is 9degrees Celsius. Calculate the new volume. You many assume pressure on balloon stays constant
To calculate the new volume, we can use the principle known as Charles's Law, which states that the volume of a gas is directly proportional to its temperature at constant pressure.
Initial temperature (in Kelvin) = 9 degrees Celsius + 273.15 = 282.15 K
Final temperature = 9 degrees Celsius + 273.15 = 282.15 K
Initial volume = 33.3 L
Since the temperature remains constant, the ratio of the initial volume to the initial temperature is equal to the ratio of the final volume to the final temperature:
(Volume_1 / Temperature_1) = (Volume_2 / Temperature_2)
(Volume_1 / 282.15 K) = (Volume_2 / 282.15 K)
33.3 L / 282.15 K = Volume_2 / 282.15 K
Simplifying the equation:
Volume_2 = (33.3 L / 282.15 K) × 282.15 K
Volume_2 = 33.3 L
Therefore, the new volume (Volume_2) of the arctic weather balloon after being taken outside is still 33.3 L.