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Chapter 26: Q35P (page 749)

Injection in some homebuilt capillary electrophoresis instruments is performed by raising the sample vial to create a siphon. The pressure exerted by a column of water of heightiswhereis the density of water and gis the acceleration of gravity (9.8m/s2). To what height would you need to raise the sample vial to create the necessary pressure to load the sample in 4.0 s? Is it possible to raise the inlet of this column to this height? How could you obtain the desired pressure?

Short Answer

Expert verified

The height to raise the inlet = 1.17cm.

Step by step solution

01

Calculate volume of the sample.

V=πr2lV=π(25×10-6m)2×0.006mV=1.18×10-11m3

02

Calculate pressure.

ΔP=128ηLt×Vtπd4ΔP=128×0.001kg/ms(0.6m)(1.18×10-11m3)4s×π×(50×10-6m)ΔP=1.15×104Pa

03

Using pressure, calculate the height.

ΔP=hρgh=ΔPρgh=1.15×104Pa1000kg/m3(9.8m/s2)h=1.17m

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