echoesof.science · Ages 15–16
The ocean in numbers: pressure, light and salt
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echoesof.science/school/ocean/ages-15-16/
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NOAA estimates about 1,335,000,000 km³ of water in the ocean out of more than 1,386,000,000 km³ on Earth: 1.335 ÷ 1.386 ≈ 0.96, so roughly 96–97% of all water is ocean water (NOAA rounds it to 'about 97 percent'), covering more than 70% of the planet's surface.
At sea level the atmosphere presses with 14.7 psi (about 1 bar, or 1 atmosphere). In water, the pressure rises by one atmosphere for every 10.06 m of depth, so the total pressure at depth d is roughly p ≈ (1 + d ÷ 10.06 m) atm.
Check: at 4,000 m, p ≈ 1 + 4,000 ÷ 10.06 ≈ 399 atm ≈ 5,860 psi, which agrees with NOAA's 'over 5,850 psi'. At the bottom of the Mariana Trench (10,994 m) it is about 1,094 atm ≈ 16,000 psi, about 8 tons on every square inch, again close to NOAA's figure.
Experiment: Measuring the density of model sea water
- Make three solutions: 0 g, 17.5 g and 35 g of salt, each topped up with water to a total mass of 500 g (0, 35 and 70 parts per thousand). Stir until all the salt has dissolved.
- Weigh the empty, dry measuring cylinder and record its mass.
- Pour in exactly 100 ml of the first solution (read the bottom of the meniscus at eye level) and weigh again.
- Calculate the density: ρ = mass ÷ volume, in g/ml. Repeat for each solution, rinsing and drying the cylinder in between.
- Repeat each measurement three times and calculate the mean and the range.
- Plot density against salinity. Estimate the uncertainty from the ±1 ml reading of the cylinder and the ±0.1 g of the balance. Which one matters more?
| Salinity (parts per thousand) | Mass of 100 ml (g), trial 1 | Trial 2 | Trial 3 | Mean density (g/ml) |
|---|---|---|---|---|
| 0 | Prediction | |||
| 35 | Prediction | |||
| 70 | Prediction |
Questions
Calculate the total pressure, in atmospheres and in psi, at 2,134 m, where sperm whales hunt giant squid. Show your working.
A pupil measures 100 ml of salt water with a mass of 102.6 g. Calculate its density in g/ml and in kg/m³.
Give two reasons why the figure 'at least half of Earth's oxygen comes from the ocean' is uncertain.
Explain why fresh water from a river forms a layer on top of the sea where the river meets the ocean.
Sources for every fact on this sheet: echoesof.science/school/ocean/sources/