The work done by the system including the algebraic sign is -89.9 J.
Work done on the system = W = 224.0 J
Heat extracted from the system = Q = - 313.9 J
Using the first law of thermodynamics,
The work done by the system is = U =
= U = Q + W
= U = -313.9 + 224.0
= U = -89.9 J
The First Law of Thermodynamics states that heat is a form of energy, and thermodynamic processes are therefore subject to the principle of conservation of energy. This means that heat energy cannot be created or destroyed.
To know more about First Law of Thermodynamics:
https://brainly.com/question/14030557
#SPJ4