If a system (like that of a calorimeter) is not assumed to be adiabatic, how would it change the equation needed to determine the transferred heat theoretically? What are the other variables to be considered now that the heat is not confined to the calorimeter? (Surroundings of the calorimeter is now considered since it is no longer assumed to be adiabatic.) Please help me answer this through a simple explanation supported by a scientific article or thermodynamics law/concept.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter4: Nonlinear Oscillations And Chaos
Section: Chapter Questions
Problem 4.13P
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If a system (like that of a calorimeter) is not assumed to be adiabatic, how would it change the equation needed to determine the transferred heat theoretically? What are the other variables to be considered now that the heat is not confined to the calorimeter? (Surroundings of the calorimeter is now considered since it is no longer assumed to be adiabatic.) Please help me answer this through a simple explanation supported by a scientific article or thermodynamics law/concept.
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