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.

ca has a crystalline lattice with positive ions (since it is a metal, metals are positively charged) and electrons flow freely in its structure since the ca atoms have a large nuclear radius so the electrons are not tightly held, therefore the electrons can flow freely since they are not being highly attracted by the nucleus. moreover, one of the properties of metals are that they are conductors of electricity, thus proving ca is the element.