Thermodynamics Fun: Exploring Temperature Manipulation with Three Blocks!

What is the minimum temperature that can be obtained for one of the blocks using this auxiliary system?

A. 100 K
B. 200 K
C. 300 K
D. 400 K

Answer:

The minimum temperature that can be obtained for one of the blocks using this auxiliary system is 100 K.

Welcome to the exciting world of thermodynamics where we explore temperature manipulation with three blocks A, B, and C! These blocks have initial temperatures of 700 K, 400 K, and 100 K respectively, along with heat capacities C of 2 kJ/K, 1 kJ/K, and 1 kJ/K respectively.

In one complete cycle of reversible interactions, an auxiliary system is utilized to change the temperatures of the blocks. The net work transfer for the complete cycle is zero, making the process even more fascinating!

The minimum temperature that can be obtained for one of the blocks using this auxiliary system is 100 K. This is because the heat transferred into the system must equal the heat transferred out of the system, leading to a balance in the energy exchange.

Since the net work transfer is zero, the change in internal energy for the entire cycle is also zero. This implies that the heat transferred into the system must match the heat transferred out of the system. By utilizing the formula Q - W = 0, we determine that the heat transferred into the system (Q) is equivalent to the work done by the system (W).

To achieve the minimum temperature for one of the blocks, the strategy involves extracting the maximum amount of heat from that particular block and redistributing it among the other blocks. This process aims to approach thermal equilibrium effectively.

The Carnot heat engine cycle is instrumental in this endeavor, consisting of two isothermal (constant temperature) processes and two adiabatic (no heat transfer) processes. By understanding and applying these principles, we delve deeper into the intriguing realm of thermodynamics!