Calculation of Fuel Quantity & Density-Volume Correction Factor

Formula-1

To calculate the weight of the fuel, we need to find out the volume and temperature. Having Density and temperature, enter Table 54B to obtain Volume Correction Factor.

Mass = Density x Volume

         = VCF x WCF x Actual Sounded Volume 

Where: 

         Density = Temperature Corrected Density = VCF x WCF 
         Volume = Actual Sounded Volume 
         VCF = 1- {(T-15) * 0.00064} 
        WCF = Density @ 15 deg.C - 0.0011


Formula-2

To calculate the fuel quantity taking into account density and volume correction factors, you'll need additional information:

1. Density of the Fuel: This is typically given in mass per unit volume (e.g., kg/m³, lb/ft³).

2. Volume Correction Factor (VCF): This factor corrects for the expansion or contraction of the fuel due to temperature and pressure variations between its measured volume and its volume at standard conditions (often 15°C and 1 atmosphere).

Once you have these details, you can incorporate them into your calculation:

1. Calculate the Corrected Volume (Volume at Standard Conditions): Corrected Volume (V) = Measured Volume (Vm) × Volume Correction Factor (VCF)

2. Calculate the Mass of the Fuel: Mass (M) = Density (ρ) × Corrected Volume (V)

Let's illustrate with an example:

Example: Suppose you have a fuel tank that holds 1000 liters of diesel fuel. The density of the diesel fuel is 850 kg/m³, and the volume correction factor (VCF) for diesel fuel at the given temperature and pressure conditions is 0.95.

1. Calculate the Corrected Volume: V = 1000 liters × 0.95 = 950 liters

2. Calculate the Mass of the Fuel: M = 850 kg/m³ × 950 liters = 807.5 kg

So, the mass of the diesel fuel in the tank, accounting for the volume correction factor, is 807.5 kg.

Ensure to adjust the units accordingly, especially when working with density and volume measurements. Additionally, make sure to use the appropriate volume correction factor for your specific fuel type and conditions.