Calculator Number Crunching

If you have any questions, comments, or corrections please email us at alanwaxman@flavoraware.com,  Thanks!

CO2 costs for whole semi-truck and whole cargo ship per mile:
semi-truck ~ 3lbs CO2/ mile.
cargo ship ~ 4000lbs CO2/ nautical mile.
Remember that in terms of lbs CO2/ lbs of payload, the cargo ship is actually 3.6 times as efficient as the semi-truck.

CO2 for transportation by semi-truck


7miles/gallon
7miles=1gallon
1gallon/60000 lbs=7miles
420000lb miles= 1 gallon
2.38x10-6 gallons/lb= 1 mile
19.4lbs CO2=1 gallon gasoline
2.38x10-6 (19.4lbs CO2)/pound= 4.62x10-5 lbs CO2/lb =1 mile traveled.

.0000462 lbsCO2/lb

http://www.truckertotrucker.com/listings/63619.cfm   2005 Freightliner Coronado  -  New Transmission,
--- 7 mpg
roads are made for a limit of 80,000 lbs gross weight sometimes surpassed by bigrigs
http://en.wikipedia.org/wiki/Semi-trailer_truck
a semi with no load 16,000 to 20,000 lbs
http://wiki.answers.com/Q/How_much_does_a_semi_truck_weigh_with_no_cargo

this leaves 50 to 70 thousand pounds for cargo
http://wiki.answers.com/Q/What_weight_of_cargo_can_a_semi_truck_haul
and from 4-9mpg
http://wiki.answers.com/Q/What_is_average_fuel_mileage_for_semi_trucks_in_the_U.S.A.

http://www.epa.gov/otaq/climate/420f05004.htm#step1
from the epa
says 19.4lbs CO2=1 gallon gasoline

7miles/gallon
7miles=1gallon
1gallon/60000 lbs=7miles
420000lb miles= 1 gallon
2.38x10-6 gallons/lb= 1 mile
19.4lbs CO2=1 gallon gasoline
2.38x10-6 (19.4lbs CO2)/pound= 4.62x10-5 lbs CO2/lb =1 mile traveled.

.0000462 lbsCO2/lb

http://www.epa.gov/otaq/climate/420f05004.htm#step1
from the epa




(And by car

20mpg with 20 lbs CO2/gallon of gas= 1mile/lb CO2)


CO2 for transportation of goods by cargo ship

Assuming the efficiency of a very large cargo ship (the Emma Maersk),

.00000412fuellbs/deadweightlbs
"Each gram of heavy fuel oil burnt produces 3.1 grams of carbon dioxide"

.0000128 lbs CO2 for one nautical mile.

Here is a nautical distance calculator: http://www.chemical-ecology.net/java/lat-long.htm

I found approximately 13000 nautical miles from Athens, Greece to Portland, OR, USA.
.17 lbs CO2/lb of cargo.



Here is the step by step process:

“As an example, the Emma Maersk, tonnage gross 170,974 bt, net tonnage 55,396 nt, deadweight 156,907 DWT (11,000 teu based on 14,000 ton /teu or 13,000 to 14,000 based on slots), capable of greater than 25.5 knots, but estimated at an average of 24 knots.”

“Based on the figures given by you, we can estimate the fuel consumption to be about 300-350 MT per day for this vessel.”

“With regard to Emma Mærsk and its fuel consumption; the rated power output of the main engine is 80 000 kW and the specific brake fuel consumption are approximately 163 – 170 g/kWh.”

“So based on an 80,000 KW output and consumption at 163-170 g/KWh then total consumption at full power output should be between 13.04 and 13.60 MT per hour (~312 to 327 MT/day based on 24 hr operation).”

“A Statute Mile is 5,280 feet while a nautical mile is 6,080 feet… the length of a nautical mile is equal to one minute of arc of the earth's surface at the equator.  There are 60 minutes in one degree and 360 degrees in the earth's circumference.”

“A container cargo ship travelling at 21 knots between Japan's Yokohama port and Rotterdam in the Netherlands takes 29 days if it goes around the Cape of Good Hope at the southern tip of Africa,' said Mr Michael Richardson, a security specialist with the Singapore-based Institute of Southeast Asian Studies, in a recent article in The Straits Times.”

“'It takes 22 days via the Strait of Malacca and Singapore and on to Europe through the Suez Canal and the Mediterranean Sea. But the same ship would take just 15 days via the Arctic Ocean.”

“1 nautical mile per hour is one knot.”
(1 knot= 1nautical mile/hour, so, nautical miles/(1 nautical mile/hour)= hours)

Nautical miles/ knots= hours

1day=24 hours

speed 24 nautical miles per hour, constant, 24 hours a day, is 576 nautical miles/day

325 MT per day (tons of fuel)
156,907 dead weight ton capacity

multiply the tons of fuel per day by the amount of days= total tons of fuel for trip.  Divide the total tons of fuel for the trip by the total dead weight capacity on board=  ratio of lbs of fuel for lbs of cargo.

Example:  12686.39 nautical miles/ 24 knots= 529 hours.  529/ 24 hours =22 days
300 tons of fuel oil a day, 6,600 tons of fuel for the trip. for 150,000 dead weight tons about. 22.7 tons of dead weight for every ton of fuel.  or .044 tons of fuel for every ton of dead weight.
88lbs of fuel for every 2000 lbs of dead weight. or .044 lbs of fuel for every lb of dead weight. .7 oz of fuel for every lb of dead weight.

325 MT/day= rate of fuel
576 nautical miles/day is rate of travel.
325/526 tons/nautical mile traveled= .618 tons fuel/ nautical mile
.618 tons fuel times total miles = total fuel for trip.  We want lbs fuel//lbs cargo=1 trip
.618 tons of fuel/150000 tons cargo= 1 mile fuel/cargo = 4.12x10-6 mile fuel/cargo
1mile fuel/cargo times total number of miles = total fuel cost /cargo for whole trip


4.12x10-6(mile lbsfuel/lbswcargo) (3.1CO2lbs/lbfuel oil)/ = 1.28x10-5lbs CO2/lbs cargo = 1 mile
times this by the total amount of miles= total C02 cost per pound for the whole trip.



http://www.bunkerworld.com/forum/Ask+Dr.+Vis/thread_22/
“For a 6000 TEU container ship from Hong Kong to Long Beach, understanding there are many engine configurations, what would be an estimated fuel consumption?
How is consumption generally measured (tonnes per hr; tonnes per mile; tonnes per teu-mile; etc.)?
How much would consumption vary by fuel grade? by teu capacity (2000 vs 4000 vs. 6000 vs. 8000, etc)?
Karl Foreman
Dear Mr. Foreman,
This calculation is a bit complicated.
If a ship has the capacity to carry larger number of containers, its cost per teu per mile comes down.
If you want to transport goods through a container from Point A to Point B, the container carriers quote on the basis of how many containers they carry on that ship, how much fuel the ship consumes and of course, the distance between the two points and the speed of the container vessel.
This is the basis for the quotation. However, often, market forces determine what is actually quoted.
To answer your specific questions:
1. I cannot estimate fuel consumtion in this situation, unless you tell me the speed of the vessel.
2. Generally, ship owners quote prices for these ships based on per teu per mile. Fuel consumtion is measured at tonnes per hour.
3. Fuel consumption will not vary much with the grade of fuel. It will vary a lot with the speed of the vessel. The larger the number of teus a vessel can carry, the consumption per teu will come down. In other words, a bigger container vessel will charge lessconsume less fuel per container, all other factors being same (and hence the charge per teu is less).
Hope this answers your questions.
Thank you.
Dr. Vis
As an example, the Emma Maersk, tonnage gross 170,974 bt, net tonnage 55,396 nt, deadweight 156,907 DWT (11,000 teu based on 14,000 ton /teu or 13,000 to 14,000 based on slots), capable of greater than 25.5 knots, but estimated at an average of 24 knots.
Karl Foreman
Based on the figures given by you, we can estimate the fuel consumption to be about 300-350 MT per day for this vessel.
Dr. Vis
With regard to Emma Mærsk and its fuel consumption; the rated power output of the main engine is 80 000 kW and the specific brake fuel consumption are approximately 163 – 170 g/kWh.
Kind regards
Ralp Sylvestersen
So based on an 80,000 KW output and consumption at 163-170 g/KWh then total consumption at full power output should be between 13.04 and 13.60 MT per hour (~312 to 327 MT/day based on 24 hr operation).
Karl Foreman”

I now will loosely extrapolate that a cargo ship that is half this DWT would be half the MT/day.

This is an educated guess, but because the Emma Maersk is the largest and one of the most efficient ships, I imagine that smaller vessels are slightly less efficient.  With the pressures of climate change, they may, however, soon catch up.

The result is around 150 MT/day.  That is still 150 MT of fuel oil for each day.

http://en.allexperts.com/q/Geography-1729/ship-routes-sea-distance.htm
"A Nautical mile is slightly longer than a statute (land) mile.  A Statute Mile is 5,280 feet while a nautical mile is 6,080 feet.  I don't know why the're different.

However, the length of a nautical mile is equal to one minute of arc of the earth's surface at the equator.  There are 60 minutes in one degree and 360 degrees in the earth's circumference.

Actual distance travelled at sea can vary greatly.  That's because the world's oceans are in motion, and if you're crossing a current, it can throw you quite a bit off course, and corrections need to be made, which will lengthen you trip.  Plus, maneuvering through choke points, harbors, etc, always add distance.  There are several websites (I've listed one below) available that can give you the straight-line distance between two cities, or between any to given points on earth.  To get actual distance travelled on a sea voyage, you'd have to get a chart, lay out a course, and measure the distance personally.

http://www.wildsingapore.com/news/20070910/070916-4.htm
A container cargo ship travelling at 21 knots between Japan's Yokohama port and Rotterdam in the Netherlands takes 29 days if it goes around the Cape of Good Hope at the southern tip of Africa,' said Mr Michael Richardson, a security specialist with the Singapore-based Institute of Southeast Asian Studies, in a recent article in The Straits Times.

'It takes 22 days via the Strait of Malacca and Singapore and on to Europe through the Suez Canal and the Mediterranean Sea. But the same ship would take just 15 days via the Arctic Ocean. "

http://www.chemical-ecology.net/java/lat-long.htm
this calculates distances in nautical miles
1 nautical mile per hour is one knot.

http://www.louiserouse.com/blog/?p=185
"Each gram of heavy fuel oil burnt produces 3.1 grams of carbon dioxide"

That is it produces carbon dioxide 3.1 times the amount of fuel oil.

http://fueleconomy.gov/feg/contentIncludes/co2_inc.htm
1 gallon of gas 20lbs of CO2

http://www.epa.gov/otaq/climate/420f05004.htm#step1
from the epa, 20lbs CO2




Comments