1) It has been established that a person can perform continuous manual labor at
ID: 1595214 • Letter: 1
Question
1) It has been established that a person can perform continuous manual labor at a power of 50 watts for an 8-hour working day. How many pounds of coal contain the energy equivalent of the useful physical labor a person can perform in this time period? How many gallons of oil?
2) An inventor claims to have developed a wonderful new heat engine that operates with a relatively cool (and therefore nonpolluting) flame at 150°C and discharges waste heat to the environment at 20°C. His promotional literature advertises that 45% of the fuel energy is converted into useful work. Calculate the maximum efficiency that can be expected for such an engine and compare it to the inventor's claim.
Explanation / Answer
power= 50 w
time= 8 hours= 8(3660 s)=28800 seconds
energy needed= power * time=50(28800)=1440000 j
now calorific value of coal (bituminous)= 23250000 j/kg
so amount of coal required= 1440000/23250000
mass of coal= 0.062 kg.
calorific value of gas oil=38000000j/kg
mass oil gas oil required= 1440000/38000000
mass of gas oil=0.038 kg.
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