Answer:Here's how to solve this problem step-by-step: 52. Given Quantities: - q (heat): +130 J (positive because heat is absorbed by the system) - w (work): -45 J (negative because work is done by the system on the surroundings) 53. ΔE (Change in Internal Energy): The change in internal energy (ΔE) is calculated using the first law of thermodynamics: ΔE = q + w Substitute the given values: ΔE = (+130 J) + (-45 J)ΔE = +85 J Therefore, the change in internal energy of the solution is +85 J. The positive sign indicates that the internal energy of the solution increased.