153k views
4 votes
Air in a hot air balloon does 37 J of work while expanding, and also absorbs 97.9 of heat from a heat source. What is the change in the balloon air's internal energy?

User Saul Uribe
by
8.1k points

1 Answer

6 votes

Final answer:

The change in the balloon air's internal energy can be found by subtracting the work done by the system from the heat added. Given that the heat absorbed is 97.9 J and the work done is 37 J, the internal energy change is 60.9 J.

Step-by-step explanation:

The change in internal energy of the air in a hot air balloon can be calculated using the first law of thermodynamics, which states that the change in the internal energy (ΔU) of a system is equal to the heat (Q) added to the system minus the work (W) done by the system:

ΔU = Q - W

In this case, the hot air balloon absorbs 97.9 J of heat and does 37 J of work. Substituting these values into the formula gives us:

ΔU = 97.9 J - 37 J = 60.9 J

Therefore, the change in the balloon air's internal energy is 60.9 J.

User Lubart
by
7.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.