A child has a toy balloon with a volume of 1.80 liters. The temperature of the balloon when it was filled was 20° C and the pressure was 1.00 atm. If the child were to let go of the balloon and it rose 3 kilometers into the sky where the pressure is 0.667 atm and the temperature is -10° C, what would the new volume of the balloon be? (Don't forget to convert the temperature to K)

The new volume of the balloon is 2.422 liters.

Explanation:

Let suppose that gas inside the balloon behaves ideally. From the Equation of State for Ideal Gases, we know that pressure (), in atmospheres, is inversely proportional to volume (), in liters, and directly proportional to temperature (), in Kelvin. Based on this fact, we construct the following relationship:

(1)

Where:

- Initial and final pressures, in atmospheres.

- Initial and final volumes, in liters.

- Initial and final temperatures, in Kelvin.

If we know that , , , , , then the final pressure is:

The new volume of the balloon is 2.422 liters.

aquifers are bounded above and below by impermeable rock. the driving force of groundwater movement in confined aquifers is pressure, rather than gravity.