Sesction 2 Problems 10 points each- 60 pointsl Don\'t forget to give your final

Question

Sesction 2 Problems 10 points each- 60 pointsl Don't forget to give your final answers using the correct number of significant figures. Gas constant R- 8.31 Jimol.K Avogado's number=602 x 10" atomsimole gravity: g =980rn Boltzmann's constant k-1.38 x 10 JK 2220 Jkg K)0.530 calg "C 333 x 10Jkg 80 calyg 2260 x 10 Jlg-539 cal g Pa1.01 x 10 Pa -. 1000 kgt A city water pipe having a 2.50 cm radius caries water into the basement of your house at a speed of 2.00 m/s and a pressure of 1.50 x 10% Pa. The pipe tapers to 1.50 cm radius and rises to the secoand floor, 4.00 m above the input point. Find 1. (a) the speed of the water at the second floor. (b) the pressure of the water on the second floor

Explanation / Answer

Solution)radius r1=2.5cm=2.5×10^(-2)m

Speed v=2m/s

Pressure P=1.5×10^(5)Pa

Radius r2=1.5cm=1.5×10^(-2)m

Height h=4m

(a) speed of water v2=?

We have equation of continuity

A1v1=A2v2

V2=(A1v1)/A2

V2=(pi)(r1^2)v1/(pi×r2^2)

V2=(2.5×10^(-2))^2×2/(1.5×10^(-2))^2

V2=5.55m/s

(b) Pressure P2=?

Bernoulli theorem

P1+(1/2)rhov1^2+rho(g)h1=P2+(1/2)rhov2^2+rho(g)h2

P2=P1+(1/2)(rho)(v1^2 - v2^2)+(rho)g(h1-h2)

P2=1.5×10^(5)+(1/2)(1000)(2^2-5.55^2)+(1000×9.8(0-4))

P2=97.398KPa

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

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