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#fluid density

1 public question tagged with this topic.

What is the gauge pressure at a depth of 4.5m in ethyl alcohol (ρ\=806kg/m3)? (Take g\=10m/s2)

Gauge pressure: Pg = ρgh. ρ = 806kg/m3, g = 10m/s2, h = 4.5m. Pg = 806×10×4.5 = 36270Pa. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 3.6 × 10⁴ 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.