Assume that the $40,000-m^3$ tank is filled with $99\%$ liquid by volume.

$($a$)$ Would the contractor gain or lose the $$500,000?$

$($b$)$ The true facts for the example above were only slightly different: over the $24-$h

period where the boil$-$off vapor averaged $4\mathrm{.}267{10}^{4}mo\frac{l}{h},$ despite the best

intentions of the operators, the tank pressure fell from $1\mathrm{.}044$ to $\frac{1\mathrm{.}043}{b}ar.$ Would

these facts change the award?

$3\mathrm{.}3.($Refer to Figure P$3\mathrm{.}3$ for notation.$)$ A piston $($A$)$ and piston rod $($B$)$ are fitted inside a

cylinder of length $0\mathrm{.}508m$ and area $6\mathrm{.}45{10}^{-3}{m}^2.$ Although the piston is quite thin, it

weighs $9\mathrm{.}07kg$; the piston rod is $1\mathrm{.}29{10}^{-3}{m}^2$ in area and weighs $4\mathrm{.}53kg.$ On top of

the rod, but outside the cylinder, an $18\mathrm{.}14-kg$ weight $(C)$ is placed. Originally, gas in D

is at atmospheric pressure while the piston is positioned in the middle of the cylinder.

Gases in $D$ and $E$ are helium and under these conditions may be considered ideal with a

constant $C_v=12\mathrm{.}6\frac{J}{m}$olK. The initial temperature everywhere is $311K.$

Assuming the cylinder, piston, and piston rod to be nonconducting and having a negligible

heat capacity, discuss any heat or work interactions if weight $($C$)$ should fall off. What is

the final state of the system when the piston has stopped and there is a balance of forces

between moving parts. Consid the fact that during motion there may be some friction

adiabatic.

$3\mathrm{.}4.$ Two cylinders are attached as shown in Figure P$3\mathrm{.}4.$ Both cylinders and pistons are

adiabatic and have walls of negligible heat capacity. The connecting rod is nonconducting.