In a certain process, the internal energy of a system increases 40.7 J and the quantity of work the system does on the surroundings is 78.9 J. What is q?
To find the value of q, we can use the first law of thermodynamics, which states that the change in internal energy (ΔU) is equal to the heat added to the system (q) minus the work done by the system (w).
Mathematically, this can be written as: ΔU = q - w
Given that the change in internal energy (ΔU) is 40.7 J and the work done by the system (w) is 78.9 J, we can substitute these values into the equation:
40.7 J = q - 78.9 J
To solve for q, we rearrange the equation by adding 78.9 J to both sides:
q = 40.7 J + 78.9 J
q = 119.6 J
Therefore, the value of q is 119.6 J.