c) A capillary tube with an inside radius of 638 nm can support a 100 mm column of liquid that has a density of 820 kg * m ^ - 3 . The observed contact angle is 12.5 degrees . Find the surface tension of the liquid for h = 20 cm .
According to the Jurin's law
"h=\\frac{2\\sigma}{(\\rho-\\rho_0)gr}\\cdot\\cos\\theta\\to \\sigma=h(\\rho-\\rho_0)gr\/(2\\cos\\theta)="
"=0.2\\cdot(820-1.29)\\cdot9.8\\cdot638\\cdot10^{-9}\/(2\\cdot\\cos12.5\u00b0)=5.24\\cdot10^{-4} \\ (N\/m)" . Answer
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