Blaise Pascal duplicated Torricelli\'s barometer using a red Bordeaux wine of de
ID: 2262589 • Letter: B
Question
Blaise Pascal duplicated Torricelli's barometer using a red Bordeaux wine of density 950 kg/m3, as the working liquid (Fig. P9.22).
What was the height h of the wine column for normal atmospheric pressure?
mWould you expect the vacuum above the column to be as good as that for mercury?
A container is filled to a depth of 20.0 cm with water. On top of the water floats a 32.0 cm thick layer of oil with specific gravity 0.500. What is the absolute pressure at the bottom of the container?
A collapsible plastic bag (Fig. P9.19) contains a glucose solution. If the average gauge pressure in the vein is 1.30 ? 104 Pa, what must be the minimum height h of the bag in order to infuse glucose into the vein? Assume that the specific gravity of the solution is 1.01. Blaise Pascal duplicated Torricelli's barometer using a red Bordeaux wine of density 950 kg/m3, as the working liquid What was the height h of the wine column for normal atmospheric pressure? A container is filled to a depth of 20.0 cm with water. On top of the water floats a 32.0 cm thick layer of oil with specific gravity 0.500. What is the absolute pressure at the bottom of the container?Explanation / Answer
1)
Avg pressure in the vein is 1.30 x 10^4 Pa
Then the height of the bag must give a pressure ? 1.30 x 10^4 Pa
The minimum height is represented by h:
Assume the cross sectional area of the connecting tube is A
Then the weight of the glucose solution at the vein is mg where m is the mass of solution. This mass is determined not by the volume of solution in the tube but rather by the height of the bag from the vein. That is the effective mass that gives rise to the pressure that opposes the vein pressure.
W = mg = Ah?g
where Ah is the effective volume, ? is the density of the solution and g is the gravitational acceleration.
P = W/A = h?g
since pressure = force/unit area
h = P/(?g)
P = 1.30 x 10^4 Pa
? = 1.01 * 10^3 kg/m^3 where we use the density of water to be 10^3 kg/m^3
g = 9.8 m/s
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