Chemical Engineering Sample Exams: For the New Breadth/Depth Exams, First Edition

Solutions to PM Sample Exam 1

Fluids

Bernoulli's equation:

  1. w = 0 U A = 0 (large cross section of tank)

    F = 28.5 ft given. ? A = ? B (incompressible fluid)

    Bernoulli equation reduces to Z A - Z B = F + = 28.5 + 1.5 = 30 ft

    Height from the bottom of tank = 30 - 10 = 20 ft

    Answer is (C)

  2. Bernoulli equation reduces to: w = F + (Z B - Z A) +

    Velocity through 2" pipe = 3(3.068/2.067) 2 = 6.61 ft/s

    ? w = 12 + (40 - 10) + 0.68 = 42.68 ft

    Pressure developed = = 29.7 psia

    Therefore, pressure indicated by gage = 29.7 - 14.7 = 15 psig

    Answer is (D)

  3. The sketch shows the conditions of the problem.

    P A = P B ? A = ? B U A = 0 cross sectional area of tank very large

    ? The Bernoulli equation reduces to

    Z A + W - F = Z B +

    Z A = Z B + + F - W

    F = 1.5 ft Z B = 20 ft

    U B = 80/(7.48 x 60 x 0.0233) = 7.65 ft/s

    = 7.65 2/64.4 = 0.91 ft

    = 0.25 m = = 11.12 lb/s

    W P = 0.25(550)/11.12 = 12.36 ft

    Therefore, Z

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