A student sucks on the end of a long tube which is initially filled with air and

Question

A student sucks on the end of a long tube which is initially filled with air and whose other end is in a large bucket of water which is open to the atmosphere. They manage to draw the water up a vertical distance of 5.09 m above the surface of the water in the bucket. What is the lowest pressure that the student's lungs can create?

[P(atmosphere)=105N/m2, ?(water)=1,000 kgm-3, g=9.81 m/s2]

If this experiment had occurred at a higher elevation where the atmospheric pressure was less would the level of liquid in the tube have been higher or lower assuming the student's lungs could create the same absolute pressure?

Explanation / Answer

THe pressure is generated by the student at one end causes the rise in level of water in the other end (above the water level of the bucket)

SO, the pressure pressure generated by student (minimun) = pressure due to 5.09 m of water column
= density*gravitational acceleration*hight of liquid column
  
= 1000 kg m^-3 * 5.09m * 9.81 m/sec^2
= 49932.9 N/m2



min. pressure generated by stdent

  
  

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