Calculate the absolute pressure at the bottom of a lake at a depth of 32.8 m. Assume the density of
Calculate the absolute pressure at the bottom of a lake at a depth of 32.8 m. Assume the density of the water is 1 x 103 kgm-3 and the air above is at a pressure of 101.3 kPa. [Take g = 9.8 ms-2]
Calculate the absolute pressure at the bottom of a lake at a depth of 32.8 m. Assume the density of the water is 1 x 103 kgm-3 and the air above is at a pressure of 101.3 kPa. [Take g = 9.8 ms-2]
Step 1: Identify given values and what to find
Given: h = 32.8 m, ρ = 1 × 10³ kgm⁻³, P₀ = 101.3 kPa, g = 9.8 ms⁻²
Find: Absolute pressure P
Step 2: Calculate pressure due to water column
Formula: P_water = ρgh
P_water = 1000 × 9.8 × 32.8
P_water = 321440 Pa = 321.44 kPa
Step 3: Calculate absolute pressure
Formula: P_absolute = P₀ + P_water
P_absolute = 101.3 + 321.44 = 422.74 kPa
Step 4: The answer is 422.74 kPa
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