This statement implies that a system’s internal energy is a state function. For 10 points each:
[10e] Name this restatement of conservation of energy that states that change in energy equals heat added minus work done.
ANSWER: the first law of thermodynamics
[10h] In contrast, the infinitesimal change in heat and work are these quantities, which are typically denoted using lowercase delta or d-bar instead of d. The integral of these quantities over a loop are non-zero, meaning heat and work are path-dependent.
ANSWER: inexact differentials [or imperfect differentials; prompt on differentials]
[10m] The inexact differential delta-Q can be made exact by multiplying it by an integrating factor equal to this function of the temperature. Thermodynamic beta equals this function of the expression Boltzmann’s constant times temperature.
ANSWER: reciprocal [or multiplicative inverse; accept one over x; accept one over temperature or one over Boltzmann’s constant times temperature or one over kT]
<GC, Physics>