The surface tension of toluene at $298 \mathrm{K}$ is $0.0284 {\mathrm{Nm}}^{-1}$ and its density is $0.866 \mathrm{g}/\mathrm{cc}$. What is the largest radius of the capillary that will permit the liquid to rise $2\times {10}^{-4} \mathrm{m}?\text{ Assume }\mathrm{\theta }=0$.

The radius of the capillary is $\mathrm{Z}{\times 10}^{-4} \mathrm{m}$. Find $\mathrm{Z}$.

 

Calculate the capillary depression of $\mathrm{Hg}$ in a tube of diameter $1.0 \mathrm{mm}$. Assume that the contact angle is zero. The density of $\mathrm{Hg}$ is $13.6\times {10}^3 \mathrm{kg} {\mathrm{m}}^{-3}$ and the surface tension of $\mathrm{Hg}$ is $0.460 \mathrm{N} {\mathrm{m}}^{-1}$.

Capillary dispersion=$\mathrm{Z}\times {10}^{-4}$. Find $\mathrm{Z}$. (nearest integer value)

A certain liquid has a viscosity of $1.0\times {10}^4$ poise and a density of $3.2 \mathrm{g}/\mathrm{mL}.$ How long will it take for a platinum ball with a $2.5$$\mathrm{mm}$ radius to fall $1.0 \mathrm{cm}$ through the liquid? The density of platinum is $21.4 \mathrm{g}/\mathrm{cc}$.

Give an answer to the nearest integer value.

$50$ drops each of water and ether, weigh $3.64 \mathrm{g}$ and $0.852 \mathrm{g}$, respectively. Determine the surface tension of ether, if the surface tension of water is $72.75 \mathrm{dyne} {\mathrm{cm}}^{-1}$.

Give an answer to the nearest integer value.

The number of drops of water, counted in the falling-drop method using a stalagmometer is $100,$ whereas the number of drops of an organic liquid is $280$. The surface tension of an organic liquid is $\mathrm{Z}\times {10}^{-2} \mathrm{N} {\mathrm{m}}^{-1}$, if the surface tension of water is $0.07275 \mathrm{N} {\mathrm{m}}^{-1}$ and the densities of water and the organic liquid are $0.998\times {10}^3\mathrm{kg} {\mathrm{m}}^{-3}$ and $0.755\times {10}^3\mathrm{kg} {\mathrm{m}}^{-3}$, respectively. Find the value of $\mathrm{Z}$.

Round-off and give your answer to the nearest integer value.