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A tube is bent so that both ends are upward; the tube contains some water. Gasoline is poured into one end of the tube; the region with gasoline is 20cm high. How much higher is the gasoline-air surface than the water-air surface?

2007-07-17 11:18:05 · 6 answers · asked by yahoo answers 1 in Science & Mathematics Physics

6 answers

Assume that the gasoline-flooded end is on the left-hand side, the water-flooded end on the right-hand side.

Assuming that the entire vertical portion of the LHS is filled with gasoline, and that the entire vertical portion of the RHS is filled with water, the pressure at the base of the LHS must be the same as the pressure at the base of the RHS, or else there would be a net motion either towards the left or the right. But this can only be the case if the two columns on the LHS and RHS satisfy:

gasoline-density*20(cm) = water-density*X(cm)

X(cm) = 20(cm) (gasoline-density/water-density)
= 20(cm) (803/998.21) = 16.089 (cm)

Therefore, 20 - X = 3.91 (cm)

2007-07-17 11:44:11 · answer #1 · answered by ? 6 · 0 0

Gasoline SG is 0.739 according to one site.
The weight of the gasoline must be balanced by an equal weight of denser water - the rest of the tube being uniformly water.
20 * 0.739 = x * 1 (assume area of 1 if you wish)
x = 14.78 cm of water balances 20 cm of gasoline
therefore top of gasoline is 5.22 cm above water.

2007-07-17 11:27:48 · answer #2 · answered by Mike1942f 7 · 1 0

The other side is 20 cm high, assuming the tube is at rest. This type of problem reminds me of a water level that you would use to measure out large decks. Water, grape juice, diesel fuel, or blood will settle out at the same height in a tube.

2007-07-17 11:24:10 · answer #3 · answered by Anonymous · 0 2

density gas * g * 20 cm = density water * g * hw

hw = 20 * density gas/density of water

delta H = 20 - hw:

Your book will have the properties of gasoline.

density of water is 1 g/cc

2007-07-17 11:30:34 · answer #4 · answered by telsaar 4 · 0 0

find someone in your class who is doing well.. ask them to help, just try to do one concept at a time. Also its really common that people who do well in chemistry, don't do well in physics. or email a different physics teacher in your school and ask advice, or ask for a study guide.

2016-05-20 22:16:28 · answer #5 · answered by ? 3 · 0 0

What's the density of the gasoline?

I'll just say it's 0.665 g/cm^3.
Water is 1.00 g/cm^3

20cm - (20cm)(.665/1.00) = 6.7 cm higher

2007-07-17 11:27:50 · answer #6 · answered by Anonymous · 1 3

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