To determine the total pressure at a depth of 118 m below the surface of the ocean, we use the hydrostatic pressure formula:
Total Pressure (P) = Atmospheric Pressure (P₀) + Hydrostatic Pressure (P_h)
Given Data:
Depth, h = 118 m
Density of seawater, ρ = 1.024 g/cm³ = 1024 kg/m³ (since 1 g/cm³ = 1000 kg/m³)
Gravitational acceleration, g = 9.81 m/s²
Atmospheric pressure, P₀ = 1.013 × 10⁵ Pa
Step 1: Calculate the Hydrostatic Pressure
The hydrostatic pressure is given by:
P_h = ρgh
Substituting the given values:
P_h = (1024 kg/m³) × (9.81 m/s²) × (118 m)
P_h = 1.184 × 10⁶ Pa
Step 2: Calculate the Total Pressure
Now, adding atmospheric pressure:
P = P₀ + P_h
P = (1.013 × 10⁵) + (1.184 × 10⁶)
P = 1.285 × 10⁶ Pa
Final Answer:
The total pressure at a depth of 118 meters below the ocean surface is 1.285 × 10⁶ Pa or 1.285 MPa.
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