Chapter 15, Problem 3Q

To determine

Whether the temperature of a system remains same if heat flows in or out of the system with example.

Answer to Problem 3Q

Solution:

Yes, the temperature of a system can remain constant, even if heat flows in or out of the system.

Explanation of Solution

Temperature of a system can remain constant, even if heat flows in or out of the system. For example, in an isothermal expansion of gas, according to the first law of thermodynamics the internal energy of the isolated system is equal to the heat supplied to the system minus the work done by the system on its surrounding that is$\Delta U=Q-W=0\to Q=W$.

The change in internal energy of the system is zero, when the energy is supplied to the system; an equal amount of work has to be done by the system on its surrounding. So, the net temperature of the system remains constant even with the addition of heat.