Question

During a reversible cycle, the working agent receives from the hot source an amount of heat equal to 150 Kj. The temperature of the hot source is equal to 225 K, and that of the cold one is 145 K. Determine the amount of heat transmitted to the cold source.

Answer 1

To determine the amount of heat transmitted to the cold source during a reversible cycle, the efficiency of the heat engine is calculated using the temperatures of the hot and cold sources, and then this efficiency is used to find the heat transferred to the cold source with the given heat input from the hot source.

Step-by-step explanation:

The question deals with the principles of thermodynamics applied to a reversible heat engine cycle. According to the second law of thermodynamics, the amount of heat transferred to the cold source can be determined using the efficiency of a reversible engine, which depends on the temperatures of the hot and cold sources. The efficiency (η) is given by 1 - (Tc/Th), where Tc is the absolute temperature of the cold source, and Th is the absolute temperature of the hot source. Hence, the efficiency equals 1 - (145 K / 225 K).

To find the amount of heat transmitted to the cold source (Qc), we multiply the total heat input from the hot source (Qh) by one minus the efficiency of the cycle. Qc = Qh * (1 - η). Given that Qh is 150 Kj, after calculating the efficiency, we can determine Qc.

Upon calculating, we find that efficiency η is approximately 0.356, and therefore Qc is approximately 96.4 Kj.