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Question 9.17: Rising Water GOAL Apply surface tension to capillary action....

Rising Water

GOAL Apply surface tension to capillary action.

PROBLEM Find the height to which water would rise in a capillary tube with a radius equal to 5.0 × 10^{-5} m. Assume the contact angle between the water and the material of the tube is small enough to be considered zero.

STRATEGY This problem requires substituting values into Equation 9.22.

h={\frac{2\gamma}{\rho g r}}\cos\phi        [9.22]

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Substitute the known values into Equation 9.22:

h=\frac{2 \gamma \cos 0^{\circ}}{\rho g \gamma}

=\frac{2(0.073  N / m )}{\left(1.00  \times  10^3  kg / m ^3\right)\left(9.80  m / s ^2\right)\left(5.0  \times  10^{-5}  m \right)}

=0.30 m

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