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.

the enthalpy of formation of water is given as -285.8kj/mol, which states that the enthalpy of formation is negative.

negative enthalpy of formation indicates that the heat is released during the reaction process. the heat is released from reaction to the surroundings the enthalpy is expressed with a negative sign with the energy given out in the reaction process.

the formation of water takes place by giving out heat which is -285.8 kj/mol.