Question

Two identical sealed containers (1 and 2) are connected to one another by a narrow tube with a valve. Initially, the valve is closed, container 1 is filled with a fluid, and container 2 is empty. Both containers have a ruler taped to their sides in order to measure the height of any fluid they contain.

A) . When the valve is opened for a time interval Δt, the level of the fluid in container 1 drops by 3 cm. Describe qualitatively how you would use this information to determine the volume flow rate through the tube. Assume that the bases of the containers each have an area A.

B) Say you were performing the experiment with the tube diameter of 2.0 mm. What would be the new volume flow rate if the diameter was changed to 2.4 mm (all other variables remaining the same)?

C) Say you were performing the experiment with the red fluid (viscosity of 624 mPa-s). What would be the new volume flow rate if you changed to the blue fluid (viscosity of 310 mPa-s, all other variables remaining the same)? You may either show your work in the provided box or upload a copy of your solutions.

D) Say you were performing the experiment with a tube of length 6 cm. You change the tube out for a new one that has a 10 cm length but were not careful about keeping the pressure the same and during the new experiment, the pressure dropped to a constant 40 kPa (instead of the original 60 kPa). What would be the new volume flow rate if the length and pressure changed, but the diameter and viscosity remained the same?

Answer #1

Two identical containers are open at the top and are connected
at the bottom via a tube of negligible volume and a valve that is
closed. Both containers are filled initially to the same height of
1.00 m, one with water, the other with mercury, as the drawing
indicates. The valve is then opened. Water and mercury are
immiscible. Determine the fluid level in the left container when
equilibrium is reestablished.

Two identical containers are open at the top and are connected
at the bottom via a tube of negligible volume and a valve that is
closed. Both containers are filled initially to the same height of
1.00 m, one with water, the other with mercury, as the drawing
indicates. The valve is then opened. Water and mercury are
immiscible. Determine the fluid level in the left container when
equilibrium is reestablished.

Two identical containers are open at the top and are connected
at the bottom via a tube of negligible volume and a valve that is
closed. Both containers are filled initially to the same height of
1.00 m, one with water, the other with mercury, as the drawing
indicates. The valve is then opened. Water and mercury are
immiscible. Determine the fluid level in the left container when
equilibrium is reestablished.

Fluid originally flows through a tube at a rate of 120
cm3/s. To illustrate the sensitivity of flow rate to
various factors, calculate the new flow rate (in cm3/s)
for the following changes with all other factors remaining the same
as in the original conditions.
(a) Pressure difference increases by a factor of 1.40.
_________ cm3/s
(b) A new fluid with 3.00 times greater viscosity is
substituted.
__________ cm3/s
(c) The tube is replaced by one having 4.00 times the...

The tube shown has a length of 2.00 m and a diameter of 1.00 mm.
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For water at 40° C:
A) What pressure difference is required to give the water a flow
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B) What force applied to the end of the tube will produce this
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1. You have two identical containers, one containing gas A and
the other containing gas B. Both gases are under the same pressure
and are at 5.0 ?C. The molecular masses are mA = 3.29 × 10?27 kg
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A shell and-tube heat exchanger is required for the following
service:
Hot stream
Cold Stream
Aromatic Stream
Cooling Water
inlet Temperature (oC)
85
20
outlet Temperature (oC)
40
35
Mass Flowrate x heat Capacity (kW/oC)
85.2
Hot Stream
cold stream (Cooling water)
Heat Capacity (J/kg K)
2840
4193
Density (kg/m3)
750
999
Viscosity (cP)
0.34
1.016
Thermal conductivity (W/m.K)
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Fouling Factor (m2.oC/W
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When you urinate, you increase pressure in your bladder to
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