FIGURE 13-1
-A reservoir manometer consists of a U-tube in which the two arms have different diameters, as shown in Fig. 13-1. The diameter on the narrow side is 10.0 mm and the diameter on the reservoir side is 25.0 mm. The liquid in the manometer is oil with a density of 830 kg/m³ and the fluids in contact with the oil are gases of negligible density. The dotted line indicates the level of the oil when the pressures p₁ and p₂ are equal. What is the value of h when P₁ - P₂ = 1000 Pa?

Question

FIGURE 13-1

-A reservoir manometer consists of a U-tube in which the two arms have different diameters, as shown in Fig. 13-1. The diameter on the narrow side is 10.0 mm and the diameter on the reservoir side is 25.0 mm. The liquid in the manometer is oil with a density of 830 kg/m³ and the fluids in contact with the oil are gases of negligible density. The dotted line indicates the level of the oil when the pressures p₁ and p₂ are equal. What is the value of h when P₁ - P₂ = 1000 Pa?

Quizplus · Accepted Answer

The pressure difference is given by the hydrostatic pressure formula: ΔP = ρgh. Solving for h gives h = ΔP / (ρg) = 1000 Pa / (830 kg/m³ * 9.81 m/s²) = 0.0123 m or 12.3 cm.

FIGURE 13-1 -A Reservoir Manometer Consists of a U-Tube in Which the in Which