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The efficiency of a Carnot engine depends on: (2022)

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Question: The efficiency of a Carnot engine depends on: (2022)

Options:

  1. The temperature of the hot reservoir only
  2. The temperature of the cold reservoir only
  3. The temperatures of both the hot and cold reservoirs
  4. The type of working substance used

Correct Answer: The temperatures of both the hot and cold reservoirs

Exam Year: 2022

Solution:

The efficiency of a Carnot engine is determined by the temperatures of both the hot and cold reservoirs, given by the formula η = 1 - (T_c/T_h).

The efficiency of a Carnot engine depends on: (2022)

Practice Questions

Q1
The efficiency of a Carnot engine depends on: (2022)
  1. The temperature of the hot reservoir only
  2. The temperature of the cold reservoir only
  3. The temperatures of both the hot and cold reservoirs
  4. The type of working substance used

Questions & Step-by-Step Solutions

The efficiency of a Carnot engine depends on: (2022)
  • Step 1: Understand what a Carnot engine is. It is a theoretical engine that operates between two temperature reservoirs.
  • Step 2: Identify the two temperatures involved: T_h (the temperature of the hot reservoir) and T_c (the temperature of the cold reservoir).
  • Step 3: Learn the formula for the efficiency (η) of a Carnot engine: η = 1 - (T_c/T_h).
  • Step 4: Recognize that the efficiency depends on the ratio of the cold reservoir temperature to the hot reservoir temperature.
  • Step 5: Conclude that to increase efficiency, you need a higher T_h and a lower T_c.
  • Carnot Engine Efficiency – The efficiency of a Carnot engine is defined by the temperature difference between the hot and cold reservoirs, specifically using the formula η = 1 - (T_c/T_h).
  • Thermodynamics – Understanding the principles of thermodynamics, particularly the second law, which governs the operation of heat engines.
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