$11\mathrm{.}11\mathrm{.}2024$

Thermodynamics $1$ Homework

Gas $1$ of mass $m_1,$ at first at $P_1$ bar and $T_1$ temperature and Gas $2$ of mass $m_2,$ at first at $P_2$ bar and $T_2$ temperature are set into two separate chambers of a perfectly insulated rigid tank from surroundings. As illustrated in the figure, the gases are separated from each other by means of a moving partition. Heat transfer occurs from the first gas to the second as the partition is moving. Both gases are of ideal gas tendency. Accordingly, calculate $(1)$ the temperature $[$K$]$ when equilibrium state has been reached, $(2)$ the equilibrium pressure kPa, $(3)$ the volume $m^3$ of each gas under equilibrium state.

Note: Each group$/$individual must use data assigned to the group$/$individual$,$ not those assigned to another group$/$individual$.$

Gas$1$: oxygen

Gas$2$: Nitrogen

T$1[$K$]=500$

T$2[$K$]=370$

P$1[$kpa$]=260$

P$2[$kpa$]=460$

M$1[$kg$]=3\mathrm{.}4$

M$2[$kg$]=1\mathrm{.}6$