A vertical U-shaped tube is filled with a liquid of density ρ and the right end of the tube is sealed with a stopper, as shown in the left figure. Some of the liquid is removed from the left column with a syringe and the left column descends a distance d, while the right column remains as it was. Refer to the right figure. 1) Three students are debating: Student A: The pressure at level C must now be greater than the atmospheric pressure because liquid there is being pushed up against the stopper. Student B: I think the pressure at level B must be the same as at level A, because they are at the same level. Both are at atmospheric pressure. So the pressure at level C must be lower than atmospheric, because pressure decreases as you ascend. Student C: But the liquid is denser than air, so the pressure at C cannot be less than atmospheric pressure. With which student(s) should you agree? 2
A vertical U-shaped tube is filled with a liquid of density ρ and the right end of the tube is sealed with a stopper, as shown in the left figure. Some of the liquid is removed from the left column with a syringe and the left column descends a distance d, while the right column remains as it was. Refer to the right figure.
1)
Three students are debating:
Student A: The pressure at level C must now be greater than the atmospheric pressure because liquid there is being pushed up against the stopper.
Student B: I think the pressure at level B must be the same as at level A, because they are at the same level. Both are at atmospheric pressure. So the pressure at level C must be lower than atmospheric, because pressure decreases as you ascend.
Student C: But the liquid is denser than air, so the pressure at C cannot be less than atmospheric pressure.
With which student(s) should you agree?
2
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Calculate the pressure difference, in pascals, between levels C and A, ΔP = PC - PA, for ρ = 0.93×103 kg/m3 and d = 2 cm
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