Question $1$

$0\mathrm{.}15$ pts

Question $1$: The change in the liquid height $(h)$ in a capillary tube for a liquid with a surface tension $$ and contact angle $$ is shown below $($the images are not to scale$).$

$1($a$)$: Derive an expression for the surface tension $$ as a function of $h$ and $($see your lecture notes$).$

Does your pdf file clearly show your derivation and the boxed expression?

Yes

No

$1($b$)$: If liquid A is water $($

$=998$ kg$/$m$3),$ determine its surface tension $($in N$/$m$)$ at room temperature using your expression in part $($a$).$

Note: Your approximated value may differ from the reported value of the surface tension for water.

Flag question: Question $3$

Question $30\mathrm{.}15$ pts

$1($c$)$: If liquid B is mercury $($

$=13,600$ kg$/$m$3),$ determine its surface tension $($in N$/$m$)$ at room temperature using your expression in part $($a$).$

Note: Your approximated value may differ from the reported value of the surface tension for mercury.