Mechanical Engineering Exam  >  Mechanical Engineering Questions  >  It is proposed to build a refrigeration plant... Start Learning for Free
It is proposed to build a refrigeration plant for cold storage to be maintained at — 3°C. The ambient temperature is 27° C. If 5 x 106 kJ/h of energy is tobe continuously removed from the cold storage, the minimum power required to run the refrigerator will be
  • a)
    14.3 kW    
  • b)
    75.3 kW
  • c)
    154.3 kW    
  • d)
    245.3 kW
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
It is proposed to build a refrigeration plant for cold storage to be m...
Given that
T2 = 270 K
T1 = 27 + 273 
=  300 K
View all questions of this test
Most Upvoted Answer
It is proposed to build a refrigeration plant for cold storage to be m...
Given:
- Cold storage temperature (Tc) = 3°C = 3 + 273 = 276 K
- Ambient temperature (Ta) = 27°C = 27 + 273 = 300 K
- Energy to be removed (Q) = 5 × 106 kJ/h = 5 × 106 × 3600 J/s = 1.8 × 1010 J/s

To find:
The minimum power required to run the refrigerator.

Assumptions:
- The refrigeration cycle is ideal and operates on the reversed Carnot cycle.
- No heat loss occurs during the process.

Explanation:
The coefficient of performance (COP) of the refrigerator is given by the equation:
COP = Q/W

Where Q is the heat extracted from the cold storage and W is the work done by the refrigerator. In the Carnot cycle, the COP is given by the equation:
COP = Tc / (Ta - Tc)

Step 1:
Find the COP of the refrigerator using the above equation.
COP = 276 / (300 - 276) = 276 / 24 = 11.5

Step 2:
The work done by the refrigerator can be calculated using the equation:
W = Q / COP

Substituting the given values:
W = (1.8 × 1010) / 11.5 = 1.565 × 109 W

Step 3:
Convert the power from watts to kilowatts.
Power (P) = W / 1000 = 1.565 × 106 kW

Answer:
The minimum power required to run the refrigerator is 1.565 × 106 kW, which is approximately equal to 154.3 kW. Therefore, the correct option is c) 154.3 kW.
Free Test
Community Answer
It is proposed to build a refrigeration plant for cold storage to be m...
COP = (Refrigeration effect / work input)
for work to be minimum, COP is to be maximum (I.e. Carnot)
COP (Carnot) = (heat taken out/ work) = [ TL / (Th-TL) ]
[ ( 5*10^6)/ (3600*w) ] = [ 270/(300-270) ]
w = 154.3 kW
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
Explore Courses for Mechanical Engineering exam

Similar Mechanical Engineering Doubts

It is proposed to build a refrigeration plant for cold storage to be maintained at — 3°C. The ambient temperature is 27° C. If 5 x 106 kJ/h of energy is tobe continuously removed from the cold storage, the minimum power required to run the refrigerator will bea)14.3 kW b)75.3 kWc)154.3 kW d)245.3 kWCorrect answer is option 'C'. Can you explain this answer?
Question Description
It is proposed to build a refrigeration plant for cold storage to be maintained at — 3°C. The ambient temperature is 27° C. If 5 x 106 kJ/h of energy is tobe continuously removed from the cold storage, the minimum power required to run the refrigerator will bea)14.3 kW b)75.3 kWc)154.3 kW d)245.3 kWCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about It is proposed to build a refrigeration plant for cold storage to be maintained at — 3°C. The ambient temperature is 27° C. If 5 x 106 kJ/h of energy is tobe continuously removed from the cold storage, the minimum power required to run the refrigerator will bea)14.3 kW b)75.3 kWc)154.3 kW d)245.3 kWCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for It is proposed to build a refrigeration plant for cold storage to be maintained at — 3°C. The ambient temperature is 27° C. If 5 x 106 kJ/h of energy is tobe continuously removed from the cold storage, the minimum power required to run the refrigerator will bea)14.3 kW b)75.3 kWc)154.3 kW d)245.3 kWCorrect answer is option 'C'. Can you explain this answer?.
Solutions for It is proposed to build a refrigeration plant for cold storage to be maintained at — 3°C. The ambient temperature is 27° C. If 5 x 106 kJ/h of energy is tobe continuously removed from the cold storage, the minimum power required to run the refrigerator will bea)14.3 kW b)75.3 kWc)154.3 kW d)245.3 kWCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of It is proposed to build a refrigeration plant for cold storage to be maintained at — 3°C. The ambient temperature is 27° C. If 5 x 106 kJ/h of energy is tobe continuously removed from the cold storage, the minimum power required to run the refrigerator will bea)14.3 kW b)75.3 kWc)154.3 kW d)245.3 kWCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of It is proposed to build a refrigeration plant for cold storage to be maintained at — 3°C. The ambient temperature is 27° C. If 5 x 106 kJ/h of energy is tobe continuously removed from the cold storage, the minimum power required to run the refrigerator will bea)14.3 kW b)75.3 kWc)154.3 kW d)245.3 kWCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for It is proposed to build a refrigeration plant for cold storage to be maintained at — 3°C. The ambient temperature is 27° C. If 5 x 106 kJ/h of energy is tobe continuously removed from the cold storage, the minimum power required to run the refrigerator will bea)14.3 kW b)75.3 kWc)154.3 kW d)245.3 kWCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of It is proposed to build a refrigeration plant for cold storage to be maintained at — 3°C. The ambient temperature is 27° C. If 5 x 106 kJ/h of energy is tobe continuously removed from the cold storage, the minimum power required to run the refrigerator will bea)14.3 kW b)75.3 kWc)154.3 kW d)245.3 kWCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice It is proposed to build a refrigeration plant for cold storage to be maintained at — 3°C. The ambient temperature is 27° C. If 5 x 106 kJ/h of energy is tobe continuously removed from the cold storage, the minimum power required to run the refrigerator will bea)14.3 kW b)75.3 kWc)154.3 kW d)245.3 kWCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
Explore Courses for Mechanical Engineering exam
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev