Pressure Measurement Problem

imnotsmart

Blaise Pascal duplicated Torricelli's barometer using a red Bordeaux win, of density 984 kg/m^3, as the working liquid. What was the height of the wine column for normal atmospheric pressure? Would you expect the vacuum above the column to be as good as for mercury?

dextercioby

The first question is trivial.Use Pascal's formula.

Daniel.

imnotsmart

So that is P=Po+(row)(g)(h)
P=1.013*10^5+(984kg/m^3)(9.8)(h).....is this correct?

dextercioby

No.It should be vacuum on top of the wine...

Daniel.

imnotsmart

I don't understand what you are saying.

dextercioby

I'm saying that the experiment should be the same as in the case of Torricelli,but the length of the tube be >14 times bigger.

Daniel.

Gokul43201

What is P in this equation ?

imnotsmart

P is suppose to be the pressure, but im not sure what that is...I don't get this problem at all.

Gokul43201

There is no other P involved.

On one side of the column, you have atmospheric pressure (Po). On the other side, you have vacuum (P=0). So, the force due to the liquid column must balance the force due to the atmosphere.

imnotsmart

So is the answer -10.5?

dextercioby

It should be a plus.But yeah,it's good.

Daniel.

imnotsmart

Is it good for mercury?

dextercioby

What?That #?Nope,it's computed for wine.

Daniel.

imnotsmart

thanks for your help buddy...

Gokul43201

Remember, you used the density of wine, not the density of mercury.