A $0\mathrm{.}500-m^3$ rigid tank contains $0\mathrm{.}6$ kg of $N_2$ and $0\mathrm{.}4$ kg of $O_2$ at $300$ K $.$ Determine the partial pressure of each gas and the total pressure of the mixture. The gas constant for $N_2$ is $0\mathrm{.}2968$kPa$*\frac{m^3}{k}g*K$ and the gas constant for $O_2$ is $0\mathrm{.}2598$kPa$*\frac{m^3}{k}g*K.$

The partial pressure of $N_2$ is $(2)$ kPa. $($Round the final answer to three decimal places.$)$

The partial pressure of $O_2$ is $($ kPa $.($Round the final answer to two decimal places.$)$

The total pressure of the mixture is $$ kPa. $($Round the final answer to two decimal places.$)$