Math Problem Statement

Calculate CII for the

Refrigerated Cargo Ship based on the following data:

• Gross Tonnage (GT): 5100

• Annual Distance Travelled (NM):

8059.1

• Annual high Sulphur Fuel Oil

(HFO) consumed during travelling: 397.4 mt

• HSFO consumption during port

stay: 0

·Annual

Marine Diesel Oil (MDO) consumed with refrigeration power 326.7 kw in port for

7945.2 hours: 815.387 mt.

·Annual Marine

Diesel Oil (MDO) total Consumed when the reefer compressors are running with refrigeration

power 905.6 kw during travelling for 403.9 hours: 151.85 mt.

• Annual Marine Diesel Oil (MDO)

total Consumed when the reefer compressors are not

running with AE power 340.3 kw

during travelling for 410.9 hours: 151.85 mt.

• Annual Total Cargo Carried:

16376.173 MT

• Main propulsion power: 3430 kW

for 928.5 hours

·Use the CO₂

emission factors for HFO: 3.114 t CO2/t. MDO: 3.206 t CO2/t

·FCelectricalreefer.j

= Reefer  kWh x SFOC.

·Apply the

cargo carried in the computation of CII

Solution

The Carbon Intensity Indicator (CII) is a measure introduced by the IMO (International Maritime Organization) to assess the efficiency of ships in terms of CO₂ emissions relative to the amount of cargo transported and the distance traveled.

The formula for CII is typically as follows:

CII=Annual CO2 emissionsAnnual Cargo Carried (MT)×Annual Distance Traveled (NM)\text{CII} = \frac{\text{Annual CO}_2 \text{ emissions}}{\text{Annual Cargo Carried (MT)} \times \text{Annual Distance Traveled (NM)}}

Given the data provided, the steps to compute the CII involve:

  1. Calculate the CO₂ emissions from High Sulphur Fuel Oil (HFO) consumption.
  2. Calculate the CO₂ emissions from Marine Diesel Oil (MDO) consumption.
  3. Sum the total CO₂ emissions.
  4. Calculate the CII using the formula.

Step 1: CO₂ Emissions from HFO Consumption

  • Total HFO consumed during travel: 397.4 mt
  • CO₂ emission factor for HFO: 3.114 t CO₂ / t

CO2 from HFO=397.4mt×3.114tCO2t=1237.61t CO2\text{CO}_2 \text{ from HFO} = 397.4 \, \text{mt} \times 3.114 \, \frac{t \, \text{CO}_2}{t} = 1237.61 \, \text{t CO}_2


Step 2: CO₂ Emissions from MDO Consumption

There are three types of MDO consumption mentioned:

  1. MDO consumed in port with refrigeration power:
    • MDO consumed: 815.387 mt
    • CO₂ emission factor for MDO: 3.206 t CO₂ / t

CO2 from MDO in port=815.387mt×3.206tCO2t=2613.83t CO2\text{CO}_2 \text{ from MDO in port} = 815.387 \, \text{mt} \times 3.206 \, \frac{t \, \text{CO}_2}{t} = 2613.83 \, \text{t CO}_2

  1. MDO consumed during travel with refrigeration power (905.6 kW for 403.9 hours):
    • MDO consumed: 151.85 mt

CO2 from MDO with refrigeration power=151.85mt×3.206tCO2t=486.99t CO2\text{CO}_2 \text{ from MDO with refrigeration power} = 151.85 \, \text{mt} \times 3.206 \, \frac{t \, \text{CO}_2}{t} = 486.99 \, \text{t CO}_2

  1. MDO consumed during travel without refrigeration power (340.3 kW for 410.9 hours):
    • MDO consumed: 151.85 mt

CO2 from MDO without refrigeration power=151.85mt×3.206tCO2t=486.99t CO2\text{CO}_2 \text{ from MDO without refrigeration power} = 151.85 \, \text{mt} \times 3.206 \, \frac{t \, \text{CO}_2}{t} = 486.99 \, \text{t CO}_2


Step 3: Total Annual CO₂ Emissions

Now, we can sum up the CO₂ emissions from all sources:

Total CO2=1237.61t+2613.83t+486.99t+486.99t=4825.42t CO2\text{Total CO}_2 = 1237.61 \, \text{t} + 2613.83 \, \text{t} + 486.99 \, \text{t} + 486.99 \, \text{t} = 4825.42 \, \text{t CO}_2


Step 4: Calculate the CII

Using the CII formula:

CII=Total CO2Annual Cargo Carried (MT)×Annual Distance Traveled (NM)\text{CII} = \frac{\text{Total CO}_2}{\text{Annual Cargo Carried (MT)} \times \text{Annual Distance Traveled (NM)}}

Substitute the given values:

  • Annual Cargo Carried: 16376.173 MT
  • Annual Distance Traveled: 8059.1 NM

CII=4825.42t CO216376.173MT×8059.1NM=4825.42131993062.2=0.03656gCO2/t-nm\text{CII} = \frac{4825.42 \, \text{t CO}_2}{16376.173 \, \text{MT} \times 8059.1 \, \text{NM}} = \frac{4825.42}{131993062.2} = 0.03656 \, \text{gCO}_2/\text{t-nm}


Conclusion:

The Carbon Intensity Indicator (CII) for the Refrigerated Cargo Ship is 0.03656 gCO₂/t-nm.


Would you like further details on any specific part of the calculation?

Here are five related questions to deepen understanding:

  1. How does the CII vary with different cargo weights?
  2. What is the significance of using different fuel types in the calculation?
  3. How does CII influence regulations for shipping companies?
  4. What measures can reduce CO₂ emissions and improve CII?
  5. How does the time spent in port affect total emissions?

Tip: To improve CII, optimizing fuel consumption during both travel and port stays is critical, as is reducing total emissions by selecting more energy-efficient routes and engines.

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Math Problem Analysis

Mathematical Concepts

Carbon Intensity Indicator (CII)
Emissions Calculations
Fuel Consumption
Efficiency Metrics

Formulas

CII = (Total CO₂ emissions) / (Annual Cargo Carried × Annual Distance Traveled)
CO₂ emissions from fuel = Fuel consumed × CO₂ emission factor

Theorems

Proportional Relationships in Carbon Intensity
Energy Efficiency Calculation

Suitable Grade Level

Undergraduate (Environmental Science, Maritime Studies, Engineering)