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How high does methyl alcohol rise in a g...

How high does methyl alcohol rise in a glass tube of diameter 0.06 cm? (Surface tension of methyl alcohol=0.023 `Nm^-1` and density =`0.8 gmcm^-3`. Assume that the angle of contact is zero).

Text Solution

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Surface tension of methyl alcohol
(S)=0.023`N//m`.
Density ,`rho=0.8gr//cm^3=800kg//m^3`
Diameter of tube , D=0.06 cm
`implies Radius,r=0.03 cm =0.03/100m.`
Surface tension , `S=(hrhorg)/(2costheta)`,
Here `theta= theta^@, cos^@ =1`,
`thereforeh=25/(rhorg)`
`=(2times0.023)/(800times0.03/100times9.8)=(2times0.023)/(0.24times9.8)`
`=0.0196m.=1.96 cm.`
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