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Question

For the given process 1-2-3-4-1 on a P-V scale. 

Which is the correct representation of the above process on a T-S scale?

The correct answer is

The given process on a P-V scale appears to represent a cycle often found in thermodynamics, involving processes such as expansion and compression. To identify the correct representation on a T-S scale, let's analyze the cycle step-by-step:

  1. Process 1-2:

This process is an isobaric expansion, meaning the pressure remains constant while the volume increases. On a T-S diagram, this is typically represented as a horizontal line moving to the right, indicating an increase in entropy.

  1. Process 2-3:

This segment represents an isochoric (constant volume) process, where the temperature increases at constant volume. On a T-S diagram, it is shown as a vertical line moving upwards.

  1. Process 3-4:

During this isobaric compression, pressure remains constant while volume decreases. On a T-S scale, it is depicted as a horizontal line moving to the left, indicating a decrease in entropy.

  1. Process 4-1:

This process is an isochoric (constant volume) process with decreasing temperature. On a T-S diagram, this is shown as a vertical line moving downwards.

Through this analysis, the cycle on a T-S diagram should look like a rectangle oriented to the right, with horizontal (isobaric) and vertical (isochoric) lines aligning with the respective entropy changes. The option that best fits this description is:

Hence, the correct representation of the given process on a T-S scale is option (the image shown above).

Conclusion: The T-S diagram illustrates the thermodynamic process cycle, with areas under the curve representing heat transfer. This helps understand the efficiency and work done during the cycle.

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Important Questions from Thermodynamics System and Processes

  1. In a polytropic process described by $PV^n = C$, if the polytropic index $n$ is equal to zero, then the process is characterized by constant
  2. Why do particles in liquid water at 0°C have more energy as compared to particles in ice at the same temperature?

  3. Choose the INCORRECT option for the process and its work done (W) and heat transfer (Q) relations.

  4. For a closed system. identify the processes where the following quantities are zero.

    1. Heat

    2. Work done

    3. Internal Energy

  5. Identify the CORRECT statement with respect to the magnitudes of different quantities for different thermodynamic processes.

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