A rigid tank is divided into two compartments by a partition. One compartment contains $3$ kmol of N$2$N$2$ at $400$ kPa and the other compartment contains $7$ kmol of CO$2$CO$2$ at $200$ kPa. Now the partition is removed, and the two gases form a homogeneous mixture at $220\mathrm{.}0$ kPa. What is the partial pressure of N$2$N$2$ in the mixture? Solve using appropriate software.

Multiple Choice

$175$ kPa

$66\mathrm{.}0$ kPa

$250$ kPa

$125$ kPa

$90$ kPa