What is the velocity of gasoline in a siphon tube after opening?

[smillphysics]

A siphon tube is filled with gasoline and closed at each end. One end is inserted into a gasoline tank 0.20 m below the surface of the gasoline. The outlet is placed outside the tank at a distance 0.45 m below the surface of the gasoline. The tube has an inner cross-sectional area of 3.8 × 10-4 m2. The density of gasoline is 680 kg/m3. Ignoring viscous effects, what is the velocity of the gasoline in the tube shortly after the tube is opened?

P1+.5*rho*v1^2+rho*g*y1=P2+.5*rho*v2^2+rho*g*y2
1 atm = 1.05E5

So I plugged in 1.05E5+0 (because v at top=0)+680*9.8*-.2 = 1.05E5+.5*680*v2^2+680*9.8*-.44
Completing this calculation gives v2= 2.17m/s which is incorrect. Any suggestions on what I am doing wrong?

And to find the flow rate I would use the equation Q=Av and use the provided area given with the v discovered?

 

[tiny-tim]

Hi smillphysics!

(have a rho: ρ and try using the X² tag just above the Reply box )

… because v at top=0)+680*9.8*-.2 …

but -.2 isn't the height at the top

And to find the flow rate I would use the equation Q=Av and use the provided area given with the v discovered?

Yup!

 

[smillphysics]

What is the height at the top? I then tried to put .45-.2=.25 and used that as the height at the top but that is also incorrect.

 

[smillphysics]

Any help on this would be great- I can't seem to find the correct y1 to use.

 

[tiny-tim]

Any help on this would be great- I can't seem to find the correct y1 to use.

Hi smillphysics!

(Sorry I didn't reply earlier )

y1 is at the surface …

it doesn't matter where the top of the tube is, or what shape it is, the pressure at each height is the same.

 

[smillphysics]

I've used the same pressure at both points. I still don't know where I have gone wrong?