Question

While diving in cancun Mexico where the seawater has a density of 1,015 kg/m3 Nana observed that her pressure meter device reading was 3.75 atm. The reading at sea level is standard 1.0 atm. At what depth is she diving when the meter read 3.75 atm g

Answer 1

The depth of the diver is 28.01 m

Step-by-step explanation:

Given;

density of the seawater, ρ = 1,015 kg/m³

standard sea level pressure, P₀ = 1.0 atm = 101,325 Pa

the final reading of her pressure, P₁ = 3.75 atm = 379968.75 Pa

acceleration due to gravity, g = 9.8 m/s²

Let the depth she was diving at the final pressure = h

This depth is calculated as;

P₁ = P₀ + ρgh

P₁ - P₀ = ρgh

`h = ( P_1 \ - \ P_o)/(\rho g) = (379968.75 \ - \ 101325)/(1015 \ * \ 9.8) = 28.01 \ m`

Therefore, the depth of the diver is 28.01 m