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Kitty [74]
2 years ago
9

When the submarine's density is equal to the density of the surrounding seawater, the submarine will maintain depth. If a 103200

kg submarine takes on 2100 kg of water to maintain depth at 1000 feet, where the density of seawater is approximately 1033 kg/m3, what is the total displacement (volume) of the submarine in m3 (Report your answer to 4 sig figs without a written unit)?
Chemistry
1 answer:
GaryK [48]2 years ago
6 0

Answer:

2.023 m^3 is the total displacement (volume) of the submarine.

Explanation:

Mass of water carried by submarine at 1000 ft depth = m = 2100 kg

The density of seawater at 1000 ft depth = d = 1033 kg/m^3

Volume of the water displaced = V= ?

Total displacement of the submarine = Volume of the water displaced = V

Density=\frac{Mass}{Volume}

V=\frac{m}{d}=\frac{2100 kg}{1033 kg/m^3}=2.023 m^3

2.023 m^3 is the total displacement (volume) of the submarine.

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Here, we are required to determine the volume of the earth which is 1.08326 × 10¹² km³ in liters.

<em>The volume of the earth is approximately</em>,

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By conversion factors;

  • <em>1dm³ = 1liter</em>
  • However; <em>1km = 10000dm = 10⁴ </em><em>dm</em>
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Consequently, 1km³ = 10¹²dm³ = 10¹²liters.

The conversion factor from 1km³ to liters is therefore, c.f = 10¹²liters/km³

Therefore, the volume of the earth which is approximately, 1.08326 × 10¹² km³ can be expressed in liters as;

<em>1.08326 × 10¹² km³ × 10¹²liters/km³ </em>

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1.08326 × 10²⁴ liters.

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