Fuel density at 15 °C and bunker quantity

The bunker delivery note gives density at 15 °C; a tank sounding gives volume at tank temperature. Multiply the volume by the VCF to get volume at 15 °C, then by density in air (density at 15 °C minus 1.1 kg/m³) to get tonnes.

Result

VCF0.9760

Density at 15 °C991.0 kg/m³

Volume at 15 °C488.002 m³

Mass (in air)483.073 t

How it is calculated

ASTM D1250 Table 54B (generalised products): α = K₀/ρ₁₅² + K₁/ρ₁₅, for fuel oils and gas oils (ρ₁₅ ≥ 838.5) K₀ = 186.9696 and K₁ = 0.4862, for jet fuels (787.5–838.5) K₀ = 594.5418 and K₁ = 0; VCF = exp(−α·Δt·(1 + 0.8·α·Δt)), Δt = t − 15. Mass = V₁₅ × (ρ₁₅ − 1.1). Printed tables are rounded and may differ in the 4th decimal.

Reference only. The maker's manual and class rules take priority.

Reference table

°C \ kg/m³	850	900	940	960	980	991	1010
15	1.0000	1.0000	1.0000	1.0000	1.0000	1.0000	1.0000
20	0.9958	0.9961	0.9964	0.9964	0.9965	0.9966	0.9967
25	0.9917	0.9923	0.9927	0.9929	0.9931	0.9932	0.9933
30	0.9875	0.9884	0.9890	0.9893	0.9896	0.9898	0.9900
35	0.9833	0.9845	0.9854	0.9858	0.9861	0.9863	0.9867
40	0.9791	0.9806	0.9817	0.9822	0.9826	0.9829	0.9833
45	0.9749	0.9767	0.9780	0.9786	0.9792	0.9795	0.9799
50	0.9707	0.9728	0.9743	0.9750	0.9757	0.9760	0.9766
55	0.9665	0.9689	0.9706	0.9714	0.9722	0.9726	0.9732
60	0.9622	0.9650	0.9669	0.9678	0.9686	0.9691	0.9698
65	0.9580	0.9610	0.9632	0.9642	0.9651	0.9656	0.9665
70	0.9537	0.9571	0.9595	0.9606	0.9616	0.9622	0.9631
75	0.9495	0.9532	0.9557	0.9569	0.9581	0.9587	0.9597
80	0.9452	0.9492	0.9520	0.9533	0.9546	0.9552	0.9563

Other calculators

Deck and navigation

ETA and passage time calculatorDistance and speed give the time on passage, the ETA and the distance per day.Speed and distance units: knots, km/h, nautical milesConvert knots, km/h, m/s and mph, and nautical miles, kilometres, cables and metres.Beaufort wind scale: wind speed, force and wave heightFind the Beaufort force from wind speed in knots, m/s or km/h, with the probable wave height in the open sea.Squat and under keel clearance calculatorHow much the ship sinks at speed in shallow water (Barrass formula), the clearance left and the highest safe speed.Tide height calculator (rule of twelfths)Height of tide at any time between low and high water, and when the tide reaches the height you need.

Engine room

Pt100 resistance table and calculatorConvert Pt100 and Pt1000 resistance to temperature and back (IEC 60751). Table from −50 to 400 °C.4–20 mA signal calculatorConvert loop current to pressure, temperature or level for any range, and back. Check a transmitter against the alarm monitor.Pressure unit converterBar, MPa, kPa, psi, kgf/cm², atm, mm Hg and metres of water — enter one, read all the others.Insulation resistance: correction to 40 °CCorrect a megger reading of a motor or generator winding to 40 °C and compare it with the IEEE 43 minimum.