Calculated the pressure of the alcohol

In summary, the pressure inside the bubble 4m below the surface of the liquid ethyl alcohol in a rigid container is 1.33X10^5Pa, assuming the pressure inside the bubble is equal to the pressure of the surrounding liquid.
  • #1
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Homework Statement


Air is trapped above liquid ethyl alcohol in a rigid container. If the air pressure above the liquid is 1.10atm, determine the pressure inside a bubble 4.0m below the surface of the liquid.

Image: Think of a cylindrical container with a layer of air at the top. The remaining is filled with ethyl alcohol. 4m below the top of the alcohol is a bubble of air.

Homework Equations



P=P(atm)+pgh
p(ethyl-OH)=.806X10^3kg/m^3

The Attempt at a Solution



So i calculated the pressure of the alcohol 4m below the surface and got 1.3X10^5Pa. However, I'm not sure what to do in order to get the pressure in the bubble.
Suggestions would be appreciated.

thanks
 
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  • #2
How did you go from a density of 0.8X10^3 to a pressure of 1.3X10^5? What units are all these quantities in?
 
  • #3
This is what i did in order to get the pressure of the ethyl 4m down:

P=1.01310^5Pa+(.806X10^-3kg/m^3)(9.8m/s^s)(4m)=1.33X10^5Pa
 
  • #4
Looks okay so far.

Now, since they don't tell you the size of the bubble, you are probably expected to assume that the pressure inside the bubble is equal to the pressure of the liquid around it. So you've got the answer you need.
 

Related to Calculated the pressure of the alcohol

1. What is the formula for calculating the pressure of alcohol?

The formula for calculating the pressure of alcohol is P = nRT/V, where P is pressure, n is the number of moles of alcohol, R is the ideal gas constant, T is temperature, and V is volume.

2. How is the pressure of alcohol measured?

The pressure of alcohol can be measured using a device called a manometer. This instrument measures the difference in height between the liquid in a sealed tube and the surrounding air, which is then converted into pressure units.

3. What are the units of pressure for alcohol?

The units of pressure for alcohol can vary, but the most commonly used units are atmospheres (atm) or kilopascals (kPa). Other units such as psi or bar may also be used.

4. How does the pressure of alcohol change with temperature?

The pressure of alcohol is directly proportional to temperature, meaning that as temperature increases, pressure also increases. This is due to the fact that as temperature increases, the molecules of alcohol move faster and collide more frequently, resulting in an increase in pressure.

5. Can the pressure of alcohol be affected by other factors?

Yes, the pressure of alcohol can also be affected by factors such as the volume of the container, the number of moles of alcohol present, and the type of alcohol. Additionally, the presence of other gases or substances in the container can also impact the pressure of alcohol.

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