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A refrigerating machine having coefficient of performance equal to 2 is used to remove heat at the rate of 1200 kJ/min. What is the power required for this machine?
Most Upvoted Answer
A refrigerating machine having coefficient of performance equal to 2 i...
Answer:

Introduction: In refrigeration, the coefficient of performance (COP) is defined as the ratio of the heat extracted from the refrigerated space to the work required to extract it. The COP is an important parameter for the evaluation of the efficiency of a refrigeration cycle.

Given: Coefficient of performance (COP) = 2, Heat removed per minute (Q) = 1200 kJ/min

Calculation:

1. Determination of power required for the refrigerating machine:

The power required for the refrigerating machine can be calculated as follows:

COP = Q/W, where Q is the heat removed per minute and W is the power required for the refrigerating machine.

Therefore, W = Q/COP

W = 1200 kJ/min / 2

W = 600 kW

Therefore, the power required for the refrigerating machine is 600 kW.

2. Explanation:

The coefficient of performance (COP) is a measure of the efficiency of a refrigeration cycle. It is defined as the ratio of the heat removed per unit time to the work required to remove it. In other words, it tells us how much cooling we get for a given amount of work.

In this case, the COP is given to be 2, which means that for every unit of work required to remove heat from the refrigerated space, we get 2 units of heat removed. This is a good COP and indicates that the refrigeration cycle is efficient.

The heat removed per minute is given to be 1200 kJ/min. Using the COP, we can calculate the power required for the refrigerating machine to remove this amount of heat per minute. The power required is found to be 600 kW, which is a significant amount of power.

This calculation shows that refrigeration systems require a lot of power to operate. It is important to design refrigeration systems with high COPs to reduce the amount of power required and improve their efficiency.
Community Answer
A refrigerating machine having coefficient of performance equal to 2 i...
Explanation

A refrigerating machine is a device that removes heat from a low-temperature environment and transfers it to a high-temperature environment. The coefficient of performance (COP) is a measure of the efficiency of a refrigerating machine. It is defined as the ratio of the heat removed from the low-temperature environment to the work input required to do so. Mathematically, COP = QL / W, where QL is the heat removed from the low-temperature environment and W is the work input required.

Calculation

Given, COP = 2 and QL = 1200 kJ/min.
From the definition of COP, we can write COP = QL / W.
Therefore, W = QL / COP = 1200 / 2 = 600 kJ/min.

Answer

The power required for the refrigerating machine is 600 kJ/min. This means that the machine needs to consume 600 kJ of energy every minute to remove 1200 kJ of heat from the low-temperature environment. The remaining 600 kJ of energy is transferred to the high-temperature environment. This process is cyclic and continues as long as the machine is in operation. The refrigerating machine can be used in various applications, such as air conditioning, food preservation, and medical storage.
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A refrigerating machine having coefficient of performance equal to 2 is used to remove heat at the rate of 1200 kJ/min. What is the power required for this machine?
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