Two rigid, insulated tanks are connected with a pipe and valve. One tank has $0.5 \mathrm{~kg}$ air at $200 \mathrm{kPa}, 300 \mathrm{~K}$ and the other has $0.75 \mathrm{~kg}$ air at $100 \mathrm{kPa}, 400 \mathrm{~K}$. The valve is opened, and the air comes to a single uniform state without any heat transfer. Find the final temperature and the change in entropy of the air.