When two systems with different temperatures are brought into thermal contact, h

Question

When two systems with different temperatures are brought into thermal contact, heat flows spontaneously until the temperatures of the systems are equal. According to the second law, the total entropy must increase in this spontaneous process. *D2* A general definition of the heat capacity is C = d q_rev/dT, where d q_rev is a small amount of heat exchanged in a reversible process, and dT is the temperature change. Use the first law to show that this formula gives the heat capacities at constant volume and pressure, C_v = (partial differential E/partial differential T)_v and C_p = (partial differential H/partial differential T)_p

Explanation / Answer

C= dq/dT which is given

From first law of thermodynamics dq= dU + PdV

or C= (du + PdV)/ dT

at constant volume i.e Cv, dV=0

hence Cv= dU/dT

Similarly dH = dq at constant pressure

Cp = dH/dT

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.