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#seawater pressure

2 public questions tagged with this topic.

What is the total pressure at a depth of 4m in seawater (ρ\=1.03×103kg/m3) if atmospheric pressure is 1.01×105Pa? (Take

Total pressure: P = Pa+ρgh. Pa = 1.01×105Pa, ρ = 1.03×103kg/m3, g = 9.8m/s2, h = 4m. P = 1.01×105+1.03×103×9.8×4 = 1.01×105+40376 = 1.41376×105Pa. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 1.41 × 10⁵ Pa. This satisfies dimensional consistency and physical conditions given, so option A is scientifically correct.

Ref: NCBI Bookshelf, Ideal Gas Law: P1V1/T1 = P2V2/T2.

A manometer with seawater (ρ\=1.03×103kg/m3) shows a height difference of 0.22m. What is the pressure difference? (Take

ΔP = ρgh. ρ = 1.03×103kg/m3, g = 9.8m/s2, h = 0.22m. ΔP = 1.03×103×9.8×0.22 = 2220.68Pa. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 2200 Pa. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCBI Bookshelf, Ideal Gas Law: P1V1/T1 = P2V2/T2.