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A lake has maximum depth of 60 m. If the mean atmospheric presssure in the lake region is 91 kPa and the unit weight of the lake water is 9790 N/m3, the absolute pressure (in kPa, round off to two dcimal places) at the maximum depth of the lake is _______

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Concept:

Absolute pressure: The pressure measured above absolute zero (or complete vacuum) is known as Absolute pressure.

Absolute Pressure = Atmospheric pressure + Gauge pressure

Absolute Pressure = Atmospheric pressure – Vaccum pressure

Calculation:

Given,

Atmospheric pressure = 91 kPa

Depth of lake = 60 m

Unit weight of lake water (γ) = 9790 N/m3

Gauge pressure at the bottom of lake = ρgh = γh = 9790 × 60 × 10-3 = 587.4 kPa

Absolute pressure at the bottom of the lake (Pabs) = Atmospheric pressure + Gauge pressure

Pabs = 91 + 587.4 = 678.4 kPa

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