Carbon Dioxide $(C{O}_2)$ gas is contained in a closed tank whose volume is $0\mathrm{.}25m^3.$ The pressure and temperature of the gas are $3$MPa and $61C$ respectively.

Calculate the mass of the gas inside the tank assuming the following cases:

a$)$ If $C{O}_2$ gas can be treated as an ideal gas at the given conditions.

$(2$ pt$.)$

b$)$ If $C{O}_2$ gas is treated as a real gas $-$ Hint: use compressibility chart.

$(2$ pt$.)$

c$)$ Which method of the above is more accurate?

$(1$ pt$.)$

d$)$ Determine the percentage error in calculating the mass of the gas $($error$/$accurate value$)?$

$(1$ pt$.)$