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The more effective way of increasing the efficiency of a carnot engine is to
- a)increase higher temperature
- b)decrease higher temperature
- c)increase lower temperature
- d)decrease lower temperature
Correct answer is option 'D'. Can you explain this answer?
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Introduction:
The efficiency of a Carnot engine, which operates on the Carnot cycle, is determined by the temperature difference between the hot and cold reservoirs. The Carnot engine is an idealized heat engine that provides the maximum possible efficiency for a given temperature difference. In order to increase the efficiency of a Carnot engine, it is necessary to manipulate the temperature difference between the hot and cold reservoirs.
Explanation:
The efficiency of a Carnot engine is given by the formula:
Efficiency = 1 - (Tc/Th)
where Tc is the temperature of the cold reservoir and Th is the temperature of the hot reservoir.
Effect of increasing the higher temperature:
If the higher temperature (Th) is increased, the efficiency of the Carnot engine will decrease. This is because the efficiency is inversely proportional to the temperature of the hot reservoir. Therefore, option 'a' is incorrect.
Effect of decreasing the higher temperature:
If the higher temperature (Th) is decreased, the efficiency of the Carnot engine will increase. This is because the efficiency is inversely proportional to the temperature of the hot reservoir. Therefore, option 'b' is incorrect.
Effect of increasing the lower temperature:
If the lower temperature (Tc) is increased, the efficiency of the Carnot engine will decrease. This is because the efficiency is inversely proportional to the temperature of the cold reservoir. Therefore, option 'c' is incorrect.
Effect of decreasing the lower temperature:
If the lower temperature (Tc) is decreased, the efficiency of the Carnot engine will increase. This is because the efficiency is inversely proportional to the temperature of the cold reservoir. Therefore, option 'd' is the correct answer.
Conclusion:
In conclusion, the most effective way to increase the efficiency of a Carnot engine is to decrease the temperature of the cold reservoir. This allows for a larger temperature difference between the hot and cold reservoirs, resulting in a higher efficiency according to the Carnot efficiency formula.
The efficiency of a Carnot engine, which operates on the Carnot cycle, is determined by the temperature difference between the hot and cold reservoirs. The Carnot engine is an idealized heat engine that provides the maximum possible efficiency for a given temperature difference. In order to increase the efficiency of a Carnot engine, it is necessary to manipulate the temperature difference between the hot and cold reservoirs.
Explanation:
The efficiency of a Carnot engine is given by the formula:
Efficiency = 1 - (Tc/Th)
where Tc is the temperature of the cold reservoir and Th is the temperature of the hot reservoir.
Effect of increasing the higher temperature:
If the higher temperature (Th) is increased, the efficiency of the Carnot engine will decrease. This is because the efficiency is inversely proportional to the temperature of the hot reservoir. Therefore, option 'a' is incorrect.
Effect of decreasing the higher temperature:
If the higher temperature (Th) is decreased, the efficiency of the Carnot engine will increase. This is because the efficiency is inversely proportional to the temperature of the hot reservoir. Therefore, option 'b' is incorrect.
Effect of increasing the lower temperature:
If the lower temperature (Tc) is increased, the efficiency of the Carnot engine will decrease. This is because the efficiency is inversely proportional to the temperature of the cold reservoir. Therefore, option 'c' is incorrect.
Effect of decreasing the lower temperature:
If the lower temperature (Tc) is decreased, the efficiency of the Carnot engine will increase. This is because the efficiency is inversely proportional to the temperature of the cold reservoir. Therefore, option 'd' is the correct answer.
Conclusion:
In conclusion, the most effective way to increase the efficiency of a Carnot engine is to decrease the temperature of the cold reservoir. This allows for a larger temperature difference between the hot and cold reservoirs, resulting in a higher efficiency according to the Carnot efficiency formula.
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The more effective way of increasing the efficiency of a carnot engine is toa)increase higher temperatureb)decrease higher temperaturec)increase lower temperatured)decrease lower temperatureCorrect answer is option 'D'. Can you explain this answer?
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