a$)$ A rigid tank is divided into two compartments by a partition. One compartment contains $4$ kg of an ideal gas at $250$ kPa and $350$ K $,$ while the other compartment contains $6$ kg of the same ideal gas at $150$ kPa and $250$ K $.$ If the partition is removed and the two gases

a$)$ A rigid tank is divided into two compartments by a partition. One compartment contains $4$ kg of an ideal gas at $250$ kPa and $350$ K $,$ while the other compartment contains $6$ kg of the same ideal gas at $150$ kPa and $250$ K $.$ If the partition is removed and the two gases are allowed to mix, determine:

$(7$ Marks$)$

i$.$ The final equilibrium temperature

$(3$ marks$)$

ii$.$ The final equilibrium pressure

$(3$ marks$)$

Take $cv=0\mathrm{.}718k\frac{J}{k}gK$ and $R=0\mathrm{.}287k\frac{J}{k}gK$ for the ideal gas. are allowed to mix, determine:

$(7$ Marks$)$

i$.$ The final equilibrium temperature

$(3$ marks$)$

ii$.$ The final equilibrium pressure

$(3$ marks$)$

Take $cv=0\mathrm{.}718k\frac{J}{k}gK$ and $R=0\mathrm{.}287k\frac{J}{k}gK$ for the ideal gas.