A glass tube 1 mm in diameter is dipped into glycerin. The density of the glycerin is 1260 kg/m3, surface tension is 6.3x10-2 N/m, and the contact angle is zero. The capillary rise of the glycerin is most nearly:

Respuesta :

Answer:

The capillary rise of the glycerin is most nearly  [tex]y = 0.0204 \ m[/tex]

Explanation:

From the question we are told that

  The diameter of the glass tube is  [tex]d = 1 \ mm = 0.001 \ m[/tex]

   The density of glycerin is  [tex]\rho = 1260 \ kg /m^3[/tex]

   The surface tension of the glycerin is [tex]\sigma = 6.3 *10^{-2} \ N /m[/tex]

The capillary rise of the glycerin is mathematically represented as

       [tex]y = \frac{4 * \sigma * cos (\theta )}{ \rho * g * d}[/tex]

substituting value  

       [tex]y = \frac{4 * 6.3 *10^{-2} * cos (0 )}{ 1260 * 9.8 * 0.001}[/tex]

      [tex]y = 0.0204 \ m[/tex]

Therefore the height  of the glass tube  the glycerin was able to cover is

[tex]y = 0.0204 \ m[/tex]