Ask Question
8 November, 10:48

g The pump inlet is located 1 m above an arbitrary datum. The pressure and velocity at the inlet are 100 kPa and 2 m/s, respectively. The pump exit is located 4 m above the same datum. The pressure and velocity are 500 kPa and 3 m/s, respectively. How much power is required to drive this pump assuming and efficiency of 75%

+3
Answers (1)
  1. 8 November, 13:37
    0
    The power needed to drive this pump assuming and efficiency of 75% is 1874.0 watts (W)

    Explanation:

    Solution:

    Given that:

    Velocity = 2 m/s

    Pressure = 100 kPa

    The pump exit is = 4 m

    Efficiency 75%

    Thus,

    We apply the method called the Bernoulli's equation between two reservoirs

    p₁ / ps + v₁²/2g + z₁

    =p₂/ps/v₂²/2g + z₂ + hL

    The density of gasoline (pg) is = 680 kg m³

    The gravity of acceleration is known to be = 9.81 m/s²

    So,

    100/680 * 9.81 + 2²/2 * 9.81 + 1 = 500 / 680 * 9.81 + 3²/2 * 9.81 + 4 + hL

    16. 2 = 79.41 + hL

    hl = 79.41 - 16.2

    hL = 63.21 m

    the unit weight of gasoline is (γ) = 680 * 9.81 = 6670.8 m/s

    Now we find the efficiency

    The efficiency (η) = The output power / Input power

    Where hL = H

    The input power = γ * Q * H/0.75

    =6670.8 * 12/3600 * 63.21

    =6670.8 * 0.333 * 63.21

    =6670.8 * 0.2107

    =1405.5/0.75

    The input power = 1874.0 Watts
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “g The pump inlet is located 1 m above an arbitrary datum. The pressure and velocity at the inlet are 100 kPa and 2 m/s, respectively. The ...” in 📘 Engineering if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers