Two cylinders are filled with liquid water, ? = 1000 kg/m3, and connected by a l

Question

Two cylinders are filled with liquid water, ? = 1000 kg/m3, and connected by a line with a closed valve. A has 100 kg and B has 500 kg of water, their cross-sectional areas are AA = 0.1 m2 and AB = 0.25 m2 and the height h is 1 m. Find the pressure on each side of the valve. The valve is opened and water flows to an equilibrium. Find the final pressure at the valve location.

Explanation / Answer

VA = vH2OmA = mA/? = 0.1 = AAhA => hA = 1 m VB = vH2OmB = mB/? = 0.5 = ABhB => hB = 2 m PVB = P0 + ?g(hB+H) = 101325 + 1000 × 9.81 × 3 = 130 755 Pa PVA = P0 + ?ghA = 101325 + 1000 × 9.81 × 1 = 111 135 Pa Equilibrium: same height over valve in both Vtot = VA + VB = h2AA + (h2 - H)AB ? h2 = hAAA + (hB+H)ABAA + AB = 2.43 m PV2 = P0 + ?gh2 = 101.325 + (1000 × 9.81 × 2.43)/1000 = 125.2 kPa

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.