# thermodynamics

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.

1. 👍 0
2. 👎 3
3. 👁 4,790
1. (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

1. 👍 5
2. 👎 0
2. is there really a 7.48ft^3 in a gallon?...
isn't it 0.133681?

1. 👍 1
2. 👎 0
3. Need

1. 👍 0
2. 👎 0

## Similar Questions

1. ### calculus2

A tank is full of water. Find the work required to pump the water out of the spout. (Use 9.8 m/s^2 for g. Use 1000 kg/m^3 as the density of water. Assume r = 9 m and h = 3 m.) The tank is a spherical shape with r as the

2. ### Physics

A pump is required to lift a mass of 750kg of water per minute from a well of depth 13.2m and eject it with a speed of 17.4m/s. A) How much work is done per minute in lifting the water? B) How much in giving the water the kinetic

3. ### calculus

A tank is full of water. Find the work required to pump the water out of the spout. Use the fact that water weighs 62.5 lb/ft3. (Assume r = 4 ft, R = 8 ft, and h = 15 ft.)

4. ### 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

1. ### Physics

2. A pool has an area A = 50 m2 and depth h = 2.5 m. The pool is filled with water to the maximum height. An electrical pump is used to empty the pool. There are two pipes coming out the pump: one is submerged into water has a

2. ### physics - another thermo problem

A bicycle pump is a cylinder 20 cm long and 3.0 cm in diameter. The pump contains air at 25.0 C and 1.0 atm. If the outlet at the base of the pump is blocked and the handle is pushed in very quickly, compressing the air to half

3. ### calculus

A circular swimming pool has a diameter of 14 m, the sides are 4 m high, and the depth of the water is 3.5 m. (The acceleration due to gravity is 9.8 and the density of water is 1000 .) How much work (in Joules) is required to:

4. ### calculus

A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s2 for g. Use 1000 kg/m3 as the weight density of water. Assume that a = 4 m, b = 4 m, c = 18 m, and d = 2 m.) W= ? j

1. ### physics

A pump lifts 200kg of water per hour a height of 6.0m . Part A What is the minimum necessary power output rating of the water pump in watts? Part B What is the minimum necessary power output rating of the water pump in horsepower?

2. ### Math

The Specific weight of water is 62.4 lb/ft^3. Assuming 7.48 gal/ft^3, determine the weight of 1 gal of water?

3. ### thermodynamics

If a pump discharges 284 liters/min of water whose density is 985 kg/m3, find (a) the mass flow rate in kg /min, b) the total time to fill a cylindrical tank 3.05 m. in diameter and 3.05 m high.

4. ### calculus

A tank is full of water. Find the work required to pump the water out of the spout. Use the fact that water weighs 62.5 lb/ft3. (Assume a = 7 ft, b = 12 ft, and c = 14 ft.)