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How to calculate fuel consumption?
by Alex
Expert answer:
Quick Answer
Calculate fuel consumption using: MPG = Distance (miles) ÷ Fuel Used (gallons), or L/100km = Fuel Used (liters) ÷ Distance (km) × 100. For cost calculation: Cost per mile = Fuel cost ÷ Distance traveled. Track multiple fill-ups for accuracy. Convert between units: 1 MPG = 235.2 ÷ L/100km. Use consistent measurement points for reliable results.
Expanded Answer (Simplified)
Fuel consumption calculation involves simple math but requires consistent measurement techniques. For the US system, divide the distance traveled (in miles) by the amount of fuel used (in gallons) to get miles per gallon (MPG). For the metric system, divide fuel used (in liters) by distance traveled (in kilometers), then multiply by 100 to get liters per 100 kilometers (L/100km).
Here’s a step-by-step process: Fill your tank completely and record the odometer reading. Drive normally until you need fuel again, then fill up and note the fuel amount added and new odometer reading. Subtract the first odometer reading from the second to get distance traveled, then apply the appropriate formula. For example, if you traveled 300 miles and used 12 gallons, your fuel consumption is 300 ÷ 12 = 25 MPG.
To convert between units, use these formulas: MPG to L/100km = 235.2 ÷ MPG, and L/100km to MPG = 235.2 ÷ L/100km. For cost analysis, calculate cost per mile by dividing total fuel cost by distance traveled. Track consumption over multiple tanks to get accurate averages, as individual measurements can vary due to driving conditions, measurement errors, and fuel pump variations.
Expanded Answer (Technical)
Fuel consumption calculation requires understanding of measurement precision, unit conversions, and statistical analysis for accurate assessment and comparison.
Mathematical Formulations and Unit Systems
Fuel consumption calculations utilize different mathematical approaches depending on regional preferences and technical applications.
- US Imperial: MPG = Distance (miles) ÷ Fuel Volume (gallons), typical range 15-50 MPG
- Metric system: L/100km = Fuel Volume (liters) ÷ Distance (km) × 100, typical range 4-15 L/100km
- Energy-based: MJ/km = Fuel Energy Content × Fuel Volume ÷ Distance, accounting for fuel energy density
- Mass-based: kg/100km = Fuel Mass ÷ Distance × 100, compensating for temperature-dependent density variations
Conversion Factors and Standardization
Accurate fuel consumption comparison requires proper unit conversion and standardization for temperature, pressure, and fuel composition variations.
- Volume conversion: 1 US gallon = 3.78541 liters, 1 Imperial gallon = 4.54609 liters
- Distance conversion: 1 mile = 1.60934 kilometers, affecting calculation precision
- Energy content: Gasoline 32-34 MJ/L, diesel 36-38 MJ/L, varying with composition and temperature
- Density correction: Fuel density varies 0.06-0.08% per °C, affecting volume-based measurements
Statistical Analysis and Measurement Uncertainty
Professional fuel consumption analysis requires statistical methods to account for measurement uncertainty and provide confidence intervals.
- Sample size requirements: Minimum 5-10 measurements for 95% confidence interval within ±5%
- Outlier detection: Chauvenet’s criterion or modified Z-score for identifying anomalous measurements
- Uncertainty propagation: Combined standard uncertainty from distance and fuel volume measurements
- Regression analysis: Trend analysis for consumption vs. driving conditions, load, or environmental factors