Solve the following dimensional analysis problems. Report answers with units the
ID: 530583 • Letter: S
Question
Solve the following dimensional analysis problems. Report answers with units the correct significant figures. The furlong is a unit used in horse racing, and the units chain and link are used in surveying land. There are 8 furlongs in 1 mile, 10 chains in one furlong, and 100 links in one chain. Calculate the length of one link in inches. Report your answer with three significant figures. One gallon of gasoline in an automobile's engine produces on average 9.5 kg of CO_2, which is a greenhouse gas, that is, it promotes the warming of Earth's atmosphere. Calculate the annual production of CO_2 in kg if there are 40 million cars in the United States and each car covers a distance of 5000 miles at a consumption rate of 20 miles/gallon. Report your answer with two significant figures.Explanation / Answer
1 mile will have 8 furlongs, 1furlong will have 10 chains
Hence 1 mile will have 8*10 =80 chains
1 chain contains 100 links. Hence 1 mile will have 80*100= 8000 links
1mile= 1609.34 m, 1ft=0.3048m, 1609.34 m= 1609.34/0.3048 ft =5280 ft
12 inches =1 ft, 5280 ft= 5280*12 = 63360 inches
8000 links = 63360 inches
1 link= 63360/8000 inches =7.92 inches
2.
Distance covered by each car= 5000 miles
Consumption rate= 20 miles/gallon
Fuel consumption by each car = 5000/20 =250 gallons
There are 40miilion cars= 40*106 cars
Total fuel consumed= 40*106* 250 =1010 gallons
1 gallon of gasoline produced 9.5 kg of CO2
1010 gallons produce 9.5*1010 Kg of CO2.