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The efficiency of the Carnot cycle may be increased by
- a)increasing the highest temperature
- b)decreasing the highest temperature
- c)increasing the lowest temperature
- d)keeping the lowest temperature constant
Correct answer is option 'A'. Can you explain this answer?
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The efficiency of the Carnot cycle may be increased bya)increasing the...
The Efficiency of the Carnot Cycle and How it Can be Increased
The Carnot cycle is a theoretical thermodynamic cycle that represents the most efficient way to convert heat into work. It consists of four reversible processes: isentropic compression, isothermal heat addition, isentropic expansion, and isothermal heat rejection. The efficiency of the Carnot cycle is given by the formula:
Efficiency = 1 - (Tlow/Thigh)
where Tlow is the lowest temperature and Thigh is the highest temperature in the cycle.
Increasing the Highest Temperature (Option A)
Increasing the highest temperature in the Carnot cycle will increase its efficiency. This is because the efficiency is directly proportional to the temperature difference between the hot and cold reservoirs.
When the highest temperature is increased:
1. The temperature difference (Thigh - Tlow) increases, resulting in a larger numerator in the efficiency formula.
2. As a result, the efficiency of the cycle increases, approaching the theoretical maximum efficiency of the Carnot cycle.
Decreasing the Highest Temperature (Option B)
Decreasing the highest temperature in the Carnot cycle will decrease its efficiency. This is because the efficiency is directly proportional to the temperature difference between the hot and cold reservoirs.
When the highest temperature is decreased:
1. The temperature difference (Thigh - Tlow) decreases, resulting in a smaller numerator in the efficiency formula.
2. As a result, the efficiency of the cycle decreases, moving further away from the theoretical maximum efficiency of the Carnot cycle.
Increasing the Lowest Temperature (Option C)
Increasing the lowest temperature in the Carnot cycle will have no effect on its efficiency. The efficiency of the Carnot cycle depends only on the temperature difference between the hot and cold reservoirs, not on the magnitude of the temperatures themselves.
Keeping the Lowest Temperature Constant (Option D)
Keeping the lowest temperature constant in the Carnot cycle will have no effect on its efficiency. As mentioned earlier, the efficiency of the Carnot cycle depends only on the temperature difference between the hot and cold reservoirs, not on the magnitude of the temperatures themselves.
In conclusion, the efficiency of the Carnot cycle can be increased by increasing the highest temperature (Option A). This leads to a larger temperature difference and a higher efficiency.
The Carnot cycle is a theoretical thermodynamic cycle that represents the most efficient way to convert heat into work. It consists of four reversible processes: isentropic compression, isothermal heat addition, isentropic expansion, and isothermal heat rejection. The efficiency of the Carnot cycle is given by the formula:
Efficiency = 1 - (Tlow/Thigh)
where Tlow is the lowest temperature and Thigh is the highest temperature in the cycle.
Increasing the Highest Temperature (Option A)
Increasing the highest temperature in the Carnot cycle will increase its efficiency. This is because the efficiency is directly proportional to the temperature difference between the hot and cold reservoirs.
When the highest temperature is increased:
1. The temperature difference (Thigh - Tlow) increases, resulting in a larger numerator in the efficiency formula.
2. As a result, the efficiency of the cycle increases, approaching the theoretical maximum efficiency of the Carnot cycle.
Decreasing the Highest Temperature (Option B)
Decreasing the highest temperature in the Carnot cycle will decrease its efficiency. This is because the efficiency is directly proportional to the temperature difference between the hot and cold reservoirs.
When the highest temperature is decreased:
1. The temperature difference (Thigh - Tlow) decreases, resulting in a smaller numerator in the efficiency formula.
2. As a result, the efficiency of the cycle decreases, moving further away from the theoretical maximum efficiency of the Carnot cycle.
Increasing the Lowest Temperature (Option C)
Increasing the lowest temperature in the Carnot cycle will have no effect on its efficiency. The efficiency of the Carnot cycle depends only on the temperature difference between the hot and cold reservoirs, not on the magnitude of the temperatures themselves.
Keeping the Lowest Temperature Constant (Option D)
Keeping the lowest temperature constant in the Carnot cycle will have no effect on its efficiency. As mentioned earlier, the efficiency of the Carnot cycle depends only on the temperature difference between the hot and cold reservoirs, not on the magnitude of the temperatures themselves.
In conclusion, the efficiency of the Carnot cycle can be increased by increasing the highest temperature (Option A). This leads to a larger temperature difference and a higher efficiency.
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The efficiency of the Carnot cycle may be increased bya)increasing the highest temperatureb)decreasing the highest temperaturec)increasing the lowest temperatured)keeping the lowest temperature constantCorrect answer is option 'A'. Can you explain this answer?
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