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1. 21 million Joules of chemical energy are supplied to a boiler in a power plan

ID: 834589 • Letter: 1

Question

1. 21 million Joules of chemical energy are supplied to a boiler in a power plant. 5,000,000 Joules of energy are lost up the smokestack. The boiler radiates 1.5 million Joules of heat to the atmosphere. What is the efficiency of the boiler?

2. An automobile engine gives 35,000 BTUs of mechanical energy from 100,000 BTUs of fuel. The transmission, axles and tires deliver 30,000 BTUs of mechanical energy to the highway, moving the car forward. What is the overall efficiency of this vehicle?

3. Three energy conversion processes take place in succession. The first has an efficiency of 51%, the second is 50% efficient, and the third 10%. What is the efficiency of the entire process?

4. If the energy input of a system is 200 calories and its useful output is 36 calories, what is the efficiency of the system?

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Explanation / Answer

The principle is all the same in every questions. It is efficiency = (total energy output / total supplied energy )*100 % = = ( energy supplied - energy wasted or unused / energy supplied )*100 %

1. (21,000,000 - (5,000,000+1,500,000) )*100 / (21,000,000) % = 69%

2. (energy delivered / fuel energy ) = (30,000/100,000)*100 % = 30%

3. Total efficiency = step1*step2*step3 = (51/100)*(50/100)*(10*100)*100 %= 2.55%

4. efficiency = usefulness / input =(36/200)*100 % = 18%