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

Answer 1

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.