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

from equation of continuity

volume flow rate remains same in a fluid flow

A1*v1 = A2*v2

A1 = pI*r1^2

A2 =pi*r2^2

r1 = radius of larger pipe = 2.5 cm = 0.025 m

r2 = radius of smaller pipe = 1.5 cm = 0.015 m

v1 = 2 m/s

v2 = ?

pi*0.025^2*2 = pi*0.015^2*v2

v2 = 5.5 m/s

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(b)

from Bernoullis principle

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

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

h1 = 0

h2 = 4m

P2 = 1.5*10^5 + (1/2)*1000*(2^2-5.5^2) + 1000*9.8*(0-4)

P2 = 0.976*10^5 Pa <<<<<----------ANSWER

DONE please check the answer. any doubts post in comment box

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