Question
In: Math
Water is flowing at the rate of 5m3/min into a tank in the form of a...
Water is flowing at the rate of 5m3/min into a tank in the form
of a cone of altitude 20 m and a base radius of 10 m, with its
vertex in the downward direction.
a) How fast is the water level rising when the water is 8m
deep?
b) If the tank has a leak at the bottom and the water level is
rising at 0.084 m/sec when the water is 8 m deep, how fast is the
water leaking?
Solutions
milcah answered 2 years agoRelated Solutions
Water is flowing at the rate of 5 m3 /min into a tank in the form...
Water is flowing at the rate of 5 m3 /min into a tank
in the form of a cone of altitude 20 m and a base radius of 10 m,
with its vertex in the downward direction.
a) How fast is the water level rising when the water is 8m
deep?
b) If the tank has a leak at the bottom and the water level is
rising at 0.084 m/sec when the water is 8 m deep, how fast is...
a) A salt-water tank has pure water flowing into it at 5 L/min. The contents of...
a) A salt-water tank has pure water flowing into it at 5 L/min.
The contents of the tank are kept thoroughly mixed, and the
contents flow out at 5 L/min. Initially, the tank contains 1 kg of
salt in 10L of water. How much salt will be in the tank after 20
minutes? Let ?? represent the amount of salt in the tank at time t
and let ?? represent the volume of saltwater in the tank at time
t....
Water flowing at a rate of 100 Kg/min at 100 oC and 20 bars is heated...
Water flowing at a rate of 100 Kg/min at
100 oC and 20 bars is heated at constant pressure to 400
oC. What are the initial and final phases of the
water (subcooled liquid, saturated
liquid, saturated steam, or superheated steam)?
(saturation temperature of water at 20 bars is 212.4
oC).
A tank contains 100 gal of water. Brine enters the tank at the rate of 3...
A
tank contains 100 gal of water. Brine enters the tank at the rate
of 3 gal/min. The mixture, thoroughly stirred, leaves the tank at
the rate of 2 gal/min. If the salt concentration in the brine at
the end of 20 minutes is to be 2 lb/gal, what should be the salt
concentration in the brine entering the tank?
A tank contains 100 gal of water. Brine enters the tank at the rate of 3...
A
tank contains 100 gal of water. Brine enters the tank at the rate
of 3 gal/min. The mixture, thoroughly stirred, leaves the tank at
the rate of 2 gal/min. If the salt concentration in the brine at
the end of 20 minutes is to be 2 lb/gal, what should be the salt
concentration in the brine entering the tank?
An ideal gas known as Minesium (MW=34.0) is flowing at a steady rate of 0.125 lbmol/min...
An ideal gas known as Minesium (MW=34.0) is flowing at a steady
rate of 0.125 lbmol/min through a 62.5 in2 circular tube at a
temperature of 185 °F and pressure of 42.0 psig. What is the
velocity (ft/s) of this ideal gas? Assume Patm = 14.7 psia.
An ideal gas known as Minesium (MW=34.0) is flowing at a steady rate of 0.125 lbmol/min...
An ideal gas known as Minesium (MW=34.0) is flowing at a steady
rate of 0.125 lbmol/min through a 62.5 in2 circular tube at a
temperature of 185 °F and pressure of 42.0 psig. What is the
velocity (ft/s) of this ideal gas? Assume Patm = 14.7 psia. The
correct answer is 0.586 ft/s, but I don't understand how to get
this answer.
A nitric acid solution flows at a constant rate of 6L/min into a large tank that...
A nitric acid solution flows at a constant rate of 6L/min into a
large tank that initially held 200L of a 0.5% nitric acid solution.
The solution inside the tank is kept well-stirred and flows out of
the tank at a rate of 8L/min. If the solution entering the tank is
20% nitric acid, determine the volume of nitric acid in the tank
after t min. When will the percentage of nitric acid in the tank
reach 10%? (Ans: (0.4)(100-t)-(3.9x10-7...
Sample Rate of CO2 production (mm/min) Fructose 2.65mm/min Glucose 3.3mm/min Sucrose 2.05mm/min Starch .85mm/min Water 0...
Sample
Rate of CO2
production (mm/min)
Fructose
2.65mm/min
Glucose
3.3mm/min
Sucrose
2.05mm/min
Starch
.85mm/min
Water
0 mm/min
Explain these results. Why did glucose result in the highest
rate? Why did sucrose result in a lower rate than fructose, and
starch even lower? Recall that sucrose is a disaccharide composed
of glucose and fructose, and that starch is a polysaccharide
composed of many glucose molecules.
Water flows through a shower head steadily at a rate of 8 kg/min. The water is...
Water flows through a shower head steadily at a rate of 8
kg/min. The water is heated in an electric water heater from 158C
to 458C. In an attempt to conserve energy, it is proposed to pass
the drained warm water at a temperature of 388C through a heat
exchanger to preheat the incoming cold water. Design a heat
exchanger that is suitable for this task, and discuss the potential
savings in energy and money for your area.
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