Two small vessels are connected to a U$-$tube manometer containing mercury $($relative

density $=13\mathrm{.}56)$ and the connecting tubes are filled with alcohol $($relative density $=$

$0\mathrm{.}82).$ The vessel at the higher pressure is $2\mathrm{.}4$ m lower in elevation than the other

vessel.

a$.)$ Determine the pressure difference between the two vessels when the difference

in the levels of the mercury menisci is $260$ mm$.$

b$.)$ Determine the difference in the piezometric head.