Find the pressure in atmospheres in the water at the base of Dworshak Dam if the water in the reservoir is 200 meters deep. (1.01 × 10⁵ N/m² = 1 ATM.) A) 20.4 ATM B) 24.7 ATM C) 29.4 ATM D) 194 ATM E) 75 ATM

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Quizplus · Accepted Answer

The pressure at a certain depth in a fluid is given by the formula P = ρgh, where ρ is the density of the fluid (for water, ρ = 1000 kg/m³), g is the acceleration due to gravity (approximately 9.8 m/s²), and h is the depth of the fluid. Substituting the given values, P = 1000 kg/m³ * 9.8 m/s² * 200 m = 1.96 × 10^6 N/m². Since 1 ATM = 1.01 × 10^5 N/m², the pressure in atmospheres is 1.96 × 10^6 N/m² / 1.01 × 10^5 N/m² = 19.4, which rounds to approximately 20.4 ATM.

Find the Pressure in Atmospheres in the Water at the Base