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2)To reach an absolute pressure of 3atm, you must dive down (in water) to depth of approximately 20m.Why might someone think that the answer was 30m

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onyebuchinnaji

Answer:

Someone might think the answer is 30 m when the person cannot distinguish between absolute pressure and gauge pressure.

Explanation:

Given absolute pressure at a depth of 20 m = 3 atm.

When you drive down 30 m in water, the gauge pressure experienced is calculated as;

P = ρgh

Where;

ρ is density of water = 1000 kg/m³

g is acceleration due to gravity, = 9.8 m/s²

h is the depth of water = 30 m

P = (1000)(9.8)(30)

P = 294000 Pa

in atm = [tex]\frac{294000}{101325} = 2.9 \ atm[/tex] ≅ 3 atm.

Thus, someone might think the answer is 30 m when the person cannot distinguish between absolute pressure and gauge pressure.

Lanuel

Someone  might think the height (depth) is 30 meters, if he or she is unable to distinguish between gauge pressure and absolute pressure.

Given the following data:

  • Atmospheric pressure A = 3 atm.
  • Height (depth) A = 20 meters.
  • Height (depth) B = 30 meters.

Scientific data:

  • Acceleration due to gravity = 9.8 [tex]m/s^2[/tex]
  • Density of water = 1000 [tex]kg/m^3[/tex]

To calculate the gauge pressure at a depth below the surface of a water:

Mathematically, gauge pressure is given by this formula:

[tex]P = \rho gh[/tex]

Where:

  • g is the acceleration due to gravity.
  • h is the height (depth) of water.

Substituting the given parameters into the formula, we have;

[tex]P = 1000 \times 9.8 \times 30[/tex]

Gauge pressure = 294000 Pa

Next, we would convert the value in Pascals to atmosphere.

Conversion:

1 atm = 101325 Pa

X atm = 294000 Pa

Cross-multiplying, we have:

[tex]X = \frac{294000}{101325}[/tex]

X = 2.90 ≈ 3.0 atm.

Read more on absolute pressure here: https://brainly.com/question/10013312

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