Engine Efficiency: 1.4 kg Gasoline/hr = 3.5 kW Power

In summary, the engine described burns 1.4 kg of gasoline per hour and yields 3.5 kW of power. To calculate its efficiency, the heating value of the gasoline (43 MJ/kg) is used. By converting the consumption rate of the engine to kg/s and calculating the heat energy generated, the efficiency is found to be 20.9%.
  • #1
chawki
506
0

Homework Statement


An engine burns 1.4 kg of gasoline per hour and yields 3.5 kW of power.

Homework Equations


Calculate the efficiency of the engine when the heating value of gasoline is 43 MJ/kg.

The Attempt at a Solution


Plz i just need the rule for engine efficiency.
 
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  • #2
chawki said:

Homework Statement


An engine burns 1.4 kg of gasoline per hour and yields 3.5 kW of power.

Homework Equations


Calculate the efficiency of the engine when the heating value of gasoline is 43 MJ/kg.

The Attempt at a Solution


Plz i just need the rule for engine efficiency.

Coal burnt per second (A) = [tex]\frac{1.4}{60 * 60}[/tex]
Power through coal burnt per second (P) = (43 * A)
P x Efficiency of engine (e) = 3.5kW

Find e. Be careful with the units and the conversion.
 
  • #3
ok so:

efficiency = power generated/heat energy ?
and then:
power generated= 3.5kw
heat energy=mfuel*heating value

consumption per hour =mfuel*3600
mfuel=1.4/3600=3.88*10e-4 Kg/s

heat energy: Q= 3.88*10e-4*43=16.684kw

Efficiency= 3.5/16.684 = 0.209
 
  • #4
chawki said:
ok so:

efficiency = power generated/heat energy ?
Not really.

Power of Engine = Efficiency of engine x Energy density of coal x Coal burnt per second
 
  • #5
we would find same results, no?
 
  • #6
I'm not sure, I didnt read beyond the first line because I assumed the rest of your post built upon that formula, which was wrong.

Because Efficiency = Power (W) /Heat Generated (J)
So it the unit for efficiency would be s^-1.

Efficiency has no unit.
 
  • #7
in my work, efficiency has no unit.
it's kw/kw
 
  • #8
chawki said:
in my work, efficiency has no unit.
it's kw/kw
You are correct. Efficiency is the ratio of energy output to energy input. This is the same as power output/power input.

AM
 
  • #9
Andrew Mason said:
You are correct. Efficiency is the ratio of energy output to energy input. This is the same as power output/power input.

AM

Should we leave 0.209 as it is, or should we write 0.209*100% = 20.9% ?
 

1. How is engine efficiency calculated?

Engine efficiency is calculated by dividing the amount of energy output (in this case, 3.5 kW) by the amount of energy input (1.4 kg gasoline/hr). This gives you a percentage which represents the efficiency of the engine.

2. What is the energy content of gasoline?

The energy content of gasoline varies depending on the composition, but on average, it contains about 45 MJ/kg. This means that for every 1.4 kg of gasoline, 63 MJ of energy is available.

3. How does engine efficiency affect fuel consumption?

The higher the engine efficiency, the lower the fuel consumption. This is because a more efficient engine can convert a greater percentage of the energy in the fuel into useful work, reducing the amount of fuel needed to produce the same amount of power.

4. What factors can affect engine efficiency?

Some factors that can affect engine efficiency include the design and condition of the engine, the type and quality of fuel used, the load on the engine, and the operating temperature.

5. How can engine efficiency be improved?

Engine efficiency can be improved through regular maintenance and tune-ups, using high-quality fuel, reducing the load on the engine, and utilizing technologies such as turbochargers and variable valve timing.

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