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:
Given the data provided, the steps to compute the CII involve:
- Calculate the CO₂ emissions from High Sulphur Fuel Oil (HFO) consumption.
- Calculate the CO₂ emissions from Marine Diesel Oil (MDO) consumption.
- Sum the total CO₂ emissions.
- 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
Step 2: CO₂ Emissions from MDO Consumption
There are three types of MDO consumption mentioned:
- MDO consumed in port with refrigeration power:
- MDO consumed: 815.387 mt
- CO₂ emission factor for MDO: 3.206 t CO₂ / t
- MDO consumed during travel with refrigeration power (905.6 kW for 403.9 hours):
- MDO consumed: 151.85 mt
- MDO consumed during travel without refrigeration power (340.3 kW for 410.9 hours):
- MDO consumed: 151.85 mt
Step 3: Total Annual CO₂ Emissions
Now, we can sum up the CO₂ emissions from all sources:
Step 4: Calculate the CII
Using the CII formula:
Substitute the given values:
- Annual Cargo Carried: 16376.173 MT
- Annual Distance Traveled: 8059.1 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:
- How does the CII vary with different cargo weights?
- What is the significance of using different fuel types in the calculation?
- How does CII influence regulations for shipping companies?
- What measures can reduce CO₂ emissions and improve CII?
- 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)
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