A balloon of air is inflated, a process which does 500kj of work to the air of the balloon. The balloon gives 10kj of energy to the surrounding air. What was the net change of the internal energy of the air in the balloon
The net change of the internal energy of the air in the balloon can be calculated by subtracting the energy given to the surrounding air from the work done to the air inside the balloon.
Net change in internal energy = Work done to the air - Energy given to the surrounding air
Net change in internal energy = 500 kJ - 10 kJ
Net change in internal energy = 490 kJ
To find the net change in the internal energy of the air in the balloon, we need to consider the work done on the air and the energy transferred to the surrounding air.
Given:
Work done on the air (W) = 500 kJ (positive because work is done on the air)
Energy transferred to the surrounding air (Q) = -10 kJ (negative because energy is leaving the system)
The net change in internal energy (ΔU) can be calculated using the first law of thermodynamics:
ΔU = Q + W
Plugging in the values:
ΔU = -10 kJ + 500 kJ
ΔU = 490 kJ
Thus, the net change in the internal energy of the air in the balloon is 490 kJ.