Salinity Calculator

Turn a hydrometer reading into ppt and mS/cm at your water temperature, then get the pounds and cups of salt mix for the water change.

Units
You measured

Specific gravity, like 1.025.

°F

Of the sample, at the moment you read it.

Hydrometer calibrated at

The calibration temperature is printed on the hydrometer or its box. A refractometer or a hydrometer that compares with water at the same temperature needs no correction: use its 77°F / 25°C figure below.

Salinity

35.9ppt

Your hydrometer should read 1.025. Conductivity is 54.2 mS/cm at 25°C.
Reads on a 60°F hydrometer
1.0250
Against water at the same temperature
1.0270
Density
1,024kg per m³
1.0001.0051.0101.0151.0201.0251.0301.025
Reading on a hydrometer calibrated at 60°F, water at 77°F.
  • Brackish tanks, 1.005 to 1.010
  • Instant Ocean recommended range, 1.020 to 1.024 at 77°F
  • Natural seawater, 1.026 (35 ppt)
The math
  1. Density of the sample

    UNESCO 1981 equation at 35.9 ppt and 25°C = 1,023.99 kg per m³

  2. Pure water at calibration

    density at 15.6°C = 999.02 kg per m³

  3. Hydrometer reading

    1,023.99 ÷ 999.02 = 1.0250

  4. Conductivity

    PSS-78 at 35.9 ppt and 25°C = 54.23 mS/cm

Density from the UNESCO 1981 equation of state, conductivity from the Practical Salinity Scale 1978. A hydrometer reads sample density over the density of pure water at its calibration temperature.

Salt mix for a water change

Mix for
gal
%

Salt mix to weigh out

3.29lb

For 11 gal (42 L) of RO or distilled water at 35 ppt, 1,491 g, about 5.5 cups of Instant Ocean by volume (0.5 cup per gallon).

Add the salt to the water, never the water to the salt, stir until it is clear, then check with your meter and adjust in small steps. Mixes differ a little, so start about 5% under the target.

Water change list

11 gal at 35 ppt

QuantityItem
3.29lb

Marine salt mix

1,491 g, about 5.5 cups

11gal

RO or distilled water

That is the salt of 11 gal at Instant Ocean's standard mix. Its packages make 25, 50, 160 and 200 gallons, so a 50 gallon package (15 lb) covers about 4 changes this size.

The math
  1. Water to mix

    55 gal × 20% = 11 gal (41.6 L)

  2. Salt mass

    35 ppt ÷ 1000 × density 1,023.3 kg per m³ × 41.6 L = 1,491 g (3.29 lb)

  3. Cups

    3.29 lb ÷ 0.6 lb per cup = 5.5 cups

Instant Ocean says 1.5 lb makes 5 gallons and 1/2 cup makes a gallon, which works out to 0.3 lb per gallon and 0.6 lb per cup.

Natural seawater at 35 ppt reads 1.0243 on a hydrometer calibrated at 60°F when the water is at 77°F, 1.0264 on one calibrated at 77°F, and conducts 53.1 mS/cm. The three numbers describe the same water, which is why a reading of 1.025 can mean 33.2 ppt or 35.9 ppt depending on the instrument. The calculator converts between specific gravity, salinity in ppt and conductivity at your water temperature, for the calibration printed on your hydrometer, and works out the salt mix for a water change.

How specific gravity, ppt and conductivity relate

Salinity in parts per thousand is grams of salt per kilogram of water. Density follows from salinity and temperature through the UNESCO 1981 equation of state, and conductivity through the Practical Salinity Scale 1978. Both are published polynomials: 35 ppt at 25°C has a density of 1023.34 kg per cubic metre, and 42.914 mS/cm at 15°C is the defining conductivity of 35 ppt.

A floating hydrometer compares the sample with pure water at the temperature it was calibrated for, so:

Reading = density of the sample at its temperature ÷ density of pure water at the calibration temperature

For 35 ppt at 77°F (25°C): 1023.34 ÷ 999.02 (pure water at 60°F) gives 1.0243, ÷ 997.05 (77°F) gives 1.0264, and the 68°F figure is 1.0252. A hydrometer that compares with water at the same temperature, or a refractometer with temperature compensation, avoids the correction: use the 77°F column and the same temperature.

Hydrometer temperature correction

The three calibration choices, 60°F, 68°F and 77°F, cover the printed values on common hydrometers. The example reading of 1.025 with the water at 77°F means:

Hydrometer calibrated atSalinity for a reading of 1.025 at 77°F
60°F (15.6°C)35.9 ppt
68°F (20°C)34.8 ppt
77°F (25°C)33.2 ppt

The spread is 2.7 ppt, so find the calibration temperature on the box or the instructions. Fritz Aquatics gives natural seawater as 34 to 37 ppt, 1.026 at 35 ppt, and Instant Ocean says the same.

Conductivity to salinity

Type the value from a meter in mS/cm (divide microsiemens by 1,000). A meter that shows 53 mS/cm at 25°C reads 34.9 ppt, and 35 ppt at 20°C is 47.9 mS/cm. The scale is defined from about 2 to 42 ppt, so the page warns outside that range. If your meter compensates its reading to 25°C, enter 77°F as the water temperature.

Brackish tanks

Wikipedia gives brackish aquarium readings of 1.005 to 1.010, which at 77°F against water at 77°F is 6.6 to 13.3 ppt. The presets in the salt mix section use those two readings.

Salt mix for a water change

Salt mass is salinity times the mass of the water. For 11 gallons, a 20% change of a 55 gallon tank, at 35 ppt and 77°F: 35 ÷ 1000 × 1023.34 kg per cubic metre × 41.6 L is 1.49 kg, or 3.29 lb, which is 5.5 cups. Instant Ocean says 1.5 lb makes 5 gallons and, for small batches, 1/2 cup per gallon. Together those give 0.3 lb per gallon and 0.6 lb per cup, and the physics gives 1.49 lb for 5 gallons, so the manufacturer's dose is a 35 ppt mix. Tropic Marin gives 1/2 cup per gallon too, targeting 1.025 to 1.027 (34 to 35 ppt). Different brands and their bags settle differently, so weigh salt rather than measuring cups when you can, and start about 5% under the target.

Add the salt to the water, stir until clear, then measure. For the size of the change, use the tank volume from the aquarium volume calculator or the fish tank calculator.

Refractometers

A refractometer reads salinity or specific gravity from a drop of water and is more accurate than a swing-arm hydrometer, according to Fritz Aquatics, who advise rinsing and calibrating whichever you use. Calibrate it with a reference solution or pure water as its instructions say, at the temperature it was made for.

Next steps

Work out how much water you are changing with the aquarium volume calculator, check how many fish the tank holds with the aquarium stocking calculator, and cover the bottom with the aquarium substrate calculator. The rest of the tank tools are on the aquarium hub.