Problem # $1$

i$.$ A $2m^3$ tank contains $7$ kg of steam $(H_{2}O).$ At pressure of $500$ kPa $,$ determine the temperature of the steam, using $($a$)$ the ideal gas equation, $($b$)$ the steam tables. Calculate the error percentage in using ideal gas assumption.

ii$.$ Benzene exists in a closed system. Reduced temperature and pressure values in addition to compressibility factors are given below. Use the data in the table to calculate the densities of Benzene at each point.

$\backslash$table$[[P_R,1\mathrm{.}95,2\mathrm{.}25,2\mathrm{.}9,3\mathrm{.}8,4\mathrm{.}3,3\mathrm{.}7,5\mathrm{.}5],[T_R,1,1\mathrm{.}1,1\mathrm{.}15,1\mathrm{.}2,1\mathrm{.}3,1\mathrm{.}5,1\mathrm{.}6],[$Z$,0\mathrm{.}3,0\mathrm{.}4,0\mathrm{.}5,0\mathrm{.}6,0\mathrm{.}7,0\mathrm{.}8,0\mathrm{.}9]]$

Plot the density as a function of Z at the given points. Comment on the results