Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > A steam power station spends Rs. 30 lakhs per...
Start Learning for Free
A steam power station spends Rs. 30 lakhs per annum for coal used in the station. The coal has a calorific value of 5000 kcal/kg and costs Rs. 300 per ton. If the station has thermal efficiency of 33% and electrical efficiency of 90%, find the average load on the station. (in kW)
Correct answer is between '1960,1980'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A steam power station spends Rs. 30 lakhs per annum for coal used in t...
Ans.
View all questions of this test
Most Upvoted Answer
A steam power station spends Rs. 30 lakhs per annum for coal used in t...
Given data:
- Cost of coal = Rs. 30 lakhs per annum
- Calorific value of coal = 5000 kcal/kg
- Cost of coal per ton = Rs. 300
- Thermal efficiency of the station = 33%
- Electrical efficiency of the station = 90%
To find:
- Average load on the station (in kW)
Formula used:
- Heat rate = 3412 / (thermal efficiency x electrical efficiency)
- Heat rate = (Amount of heat required to produce 1 kWh of electrical energy) / (Efficiency of the power station)
Calculation:
- 1 ton of coal = 1000 kg
- Cost of coal per kg = Rs. 300 / 1000 = Rs. 0.3
- Cost of coal per annum = Rs. 30 lakhs = Rs. 3,000,000
- Total coal consumed per annum = Cost of coal per annum / Cost of coal per kg
= 3,000,000 / 0.3 = 10,000,000 kg
- Heat energy produced by 1 kg of coal = 5000 kcal/kg x 4184 J/kcal
= 20,920,000 J/kg
- Total heat energy produced by coal per annum = Heat energy produced by 1 kg of coal x Total coal consumed per annum
= 20,920,000 J/kg x 10,000,000 kg = 2.092 x 10^14 J
- Electrical energy produced per annum = Thermal efficiency x Total heat energy produced by coal per annum
= 0.33 x 2.092 x 10^14 J = 6.889 x 10^13 J
- Average load on the station = Electrical energy produced per annum / (365 x 24 x 3600)
= 6.889 x 10^13 J / (31,536,000 s)
= 2180.23 kW (approx)
Therefore, the average load on the station is between 1960 kW and 1980 kW.
- Cost of coal = Rs. 30 lakhs per annum
- Calorific value of coal = 5000 kcal/kg
- Cost of coal per ton = Rs. 300
- Thermal efficiency of the station = 33%
- Electrical efficiency of the station = 90%
To find:
- Average load on the station (in kW)
Formula used:
- Heat rate = 3412 / (thermal efficiency x electrical efficiency)
- Heat rate = (Amount of heat required to produce 1 kWh of electrical energy) / (Efficiency of the power station)
Calculation:
- 1 ton of coal = 1000 kg
- Cost of coal per kg = Rs. 300 / 1000 = Rs. 0.3
- Cost of coal per annum = Rs. 30 lakhs = Rs. 3,000,000
- Total coal consumed per annum = Cost of coal per annum / Cost of coal per kg
= 3,000,000 / 0.3 = 10,000,000 kg
- Heat energy produced by 1 kg of coal = 5000 kcal/kg x 4184 J/kcal
= 20,920,000 J/kg
- Total heat energy produced by coal per annum = Heat energy produced by 1 kg of coal x Total coal consumed per annum
= 20,920,000 J/kg x 10,000,000 kg = 2.092 x 10^14 J
- Electrical energy produced per annum = Thermal efficiency x Total heat energy produced by coal per annum
= 0.33 x 2.092 x 10^14 J = 6.889 x 10^13 J
- Average load on the station = Electrical energy produced per annum / (365 x 24 x 3600)
= 6.889 x 10^13 J / (31,536,000 s)
= 2180.23 kW (approx)
Therefore, the average load on the station is between 1960 kW and 1980 kW.
Attention Electrical Engineering (EE) Students!
To make sure you are not studying endlessly, EduRev has designed Electrical Engineering (EE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electrical Engineering (EE).
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View all
A steam power station spends Rs. 30 lakhs per annum for coal used in the station. The coal has a calorific value of 5000 kcal/kg and costs Rs. 300 per ton. If the station has thermal efficiency of 33% and electrical efficiency of 90%, find the average load on the station. (in kW)Correct answer is between '1960,1980'. Can you explain this answer?
Question Description
A steam power station spends Rs. 30 lakhs per annum for coal used in the station. The coal has a calorific value of 5000 kcal/kg and costs Rs. 300 per ton. If the station has thermal efficiency of 33% and electrical efficiency of 90%, find the average load on the station. (in kW)Correct answer is between '1960,1980'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A steam power station spends Rs. 30 lakhs per annum for coal used in the station. The coal has a calorific value of 5000 kcal/kg and costs Rs. 300 per ton. If the station has thermal efficiency of 33% and electrical efficiency of 90%, find the average load on the station. (in kW)Correct answer is between '1960,1980'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A steam power station spends Rs. 30 lakhs per annum for coal used in the station. The coal has a calorific value of 5000 kcal/kg and costs Rs. 300 per ton. If the station has thermal efficiency of 33% and electrical efficiency of 90%, find the average load on the station. (in kW)Correct answer is between '1960,1980'. Can you explain this answer?.
A steam power station spends Rs. 30 lakhs per annum for coal used in the station. The coal has a calorific value of 5000 kcal/kg and costs Rs. 300 per ton. If the station has thermal efficiency of 33% and electrical efficiency of 90%, find the average load on the station. (in kW)Correct answer is between '1960,1980'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A steam power station spends Rs. 30 lakhs per annum for coal used in the station. The coal has a calorific value of 5000 kcal/kg and costs Rs. 300 per ton. If the station has thermal efficiency of 33% and electrical efficiency of 90%, find the average load on the station. (in kW)Correct answer is between '1960,1980'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A steam power station spends Rs. 30 lakhs per annum for coal used in the station. The coal has a calorific value of 5000 kcal/kg and costs Rs. 300 per ton. If the station has thermal efficiency of 33% and electrical efficiency of 90%, find the average load on the station. (in kW)Correct answer is between '1960,1980'. Can you explain this answer?.
Solutions for A steam power station spends Rs. 30 lakhs per annum for coal used in the station. The coal has a calorific value of 5000 kcal/kg and costs Rs. 300 per ton. If the station has thermal efficiency of 33% and electrical efficiency of 90%, find the average load on the station. (in kW)Correct answer is between '1960,1980'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of A steam power station spends Rs. 30 lakhs per annum for coal used in the station. The coal has a calorific value of 5000 kcal/kg and costs Rs. 300 per ton. If the station has thermal efficiency of 33% and electrical efficiency of 90%, find the average load on the station. (in kW)Correct answer is between '1960,1980'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A steam power station spends Rs. 30 lakhs per annum for coal used in the station. The coal has a calorific value of 5000 kcal/kg and costs Rs. 300 per ton. If the station has thermal efficiency of 33% and electrical efficiency of 90%, find the average load on the station. (in kW)Correct answer is between '1960,1980'. Can you explain this answer?, a detailed solution for A steam power station spends Rs. 30 lakhs per annum for coal used in the station. The coal has a calorific value of 5000 kcal/kg and costs Rs. 300 per ton. If the station has thermal efficiency of 33% and electrical efficiency of 90%, find the average load on the station. (in kW)Correct answer is between '1960,1980'. Can you explain this answer? has been provided alongside types of A steam power station spends Rs. 30 lakhs per annum for coal used in the station. The coal has a calorific value of 5000 kcal/kg and costs Rs. 300 per ton. If the station has thermal efficiency of 33% and electrical efficiency of 90%, find the average load on the station. (in kW)Correct answer is between '1960,1980'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A steam power station spends Rs. 30 lakhs per annum for coal used in the station. The coal has a calorific value of 5000 kcal/kg and costs Rs. 300 per ton. If the station has thermal efficiency of 33% and electrical efficiency of 90%, find the average load on the station. (in kW)Correct answer is between '1960,1980'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup