A semipermeable membrane which allows only hydrogen to pass divides two containers which are kept at $300$ K$.$ Initially, container A holds $1000$ g of CO$2$ at $10$ bar, and container B holds $300$ g of O$2$ at $20$ bar. Now $400$ g of H$2$ are added to the system, such that the pressures of A and B do not change. $1.$ Determine the amounts of H$2$ in containers A and B$.2.$ Determine the minimum work to separate the H$2$ out of container A$.$