thermodynamics

posted by .

if a pump discharges 75 gpm of water whose specific weight is 61.5 lb/ft^3(g=31.95fps^2). find a) the mass flow rate in lb/min, and b) and total time required to fill a vertical cylinder tank 10ft in diameter and 12ft high.

  • thermodynamics -

    (1) There are 7.48 ft^3 in a gallon. Therefore the volume flow rate can be expressed as 75 gallon/min/7.48 gal/ft^3 = 10.03 ft^3/min
    Multiply that by the density of water, 62.4 lbm/ft^3, and you get 626 lbm/min.

    (lbm stands for pounds mass; the preferred mass unit in the British system is slugs)

    (2) Time = Volume/Flow rate
    = (pi/4)*D^2*L/10.03 ft^3/min
    = 94.0 minutes

  • thermodynamics -

    is there really a 7.48ft^3 in a gallon?...
    isn't it 0.133681?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Water is leaking out of an inverted conical tank at a rate of 11400 cm^3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 8.0m and the the diameter at the top is 3.5m. If the water …
  2. math

    Tank 1 initial contains 70 L (liters) of water and 450 g of salt, while tank 2 initially contains 20 L of water and 200 g of salt. Water containing 10 g/L of salt is poured into tank1 at a rate of 1 L/min while the mixture flowing …
  3. math, physics

    A 10 m high, 5 diameter cylindrical water tank has an inlet at the top and a drain at the bottom. The flow rate out of the tank depends on the pressure at the bottom of the tank via the following: dm/dt = (10^-4)*(P_bot) where P_bot …
  4. physics

    A pressurized tank of water has a 10cm diameter orifice at the bottom, where water discharges to the atmosphere. the water level is 3 m above the outlet. the tank air pressure above the water level is 300 kpa (absolute)while the atmospheric …
  5. Design

    The flow system as shown in the Figure, the centrifugal pump(3500 R.P.M.) is delivering water at 100 gal/min and 70 °F into a boiler operating at a pressure of 35 psig. The water levels in the feed tank and boiler are constant. Because …
  6. engineering

    The flow system as shown in the Figure, the centrifugal pump(3500 R.P.M.) is delivering water at 100 gal/min and 70 °F into a boiler operating at a pressure of 35 psig. The water levels in the feed tank and boiler are constant. Because …
  7. math

    Water is leaking out of an inverted conical tank at a rate of 10600.0 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 14.0 m and the the diameter at the top is 6.0 m. If the …
  8. Calculus 1

    Water is leaking out of an inverted conical tank at a rate of 9,500 cm^3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level …
  9. thermodynamics

    2. If a pump discharges 284 liters per minute of water whose density is 985 kg/m3 . Find (a) mass flow rate in kg/min; (b) the total time required to fill a vertical cylindrical tank 3.05 m in diameter, and 305 m high. Note: m = Q …
  10. Thermo Dynamics

    Would like to see the following problem worked out. Having trouble solving. Explanation would be helpful. Given:Water at 20 Degrees C is filled to the top of a 15 m high, 15 m diameter tank. The tank is connected to a 15 m section …

More Similar Questions