Two spheres - 1,2 with flexible walls are connected by a tube of negligible volume. Their initial and final conditions are given by P1, V1, n1 and P2, V2, n2 respectively. The radius of these spheres depends on the temperature as 4πr2dr=kdT. Initially, sphere 1 was at 100 K and sphere 2 was at 200 K. As the temperature of sphere 1 is increased to 300 K, find the final mole ratio (n′1n′2).

Two spheres - 1,2 with flexible walls are connected by a tube of negli

1.	Two spheres - 1,2 with flexible walls are connected by a tube of negligible volume. Their initial and final conditions are given by P1, V1, n1 and P2, V2, n2 respectively. The radius of these spheres depends on the temperature as 4πr2dr=kdT. Initially, sphere 1 was at 100 K and sphere 2 was at 200 K. As the temperature of sphere 1 is increased to 300 K, find the final mole ratio (n′1n′2).
Answer» Two spheres - 1,2 with flexible walls are connected by a tube of negligible volume. Their initial and final conditions are given by $P_{1}, V_{1}, n_{1}$ and $P_{2}, V_{2}, n_{2}$ respectively. The radius of these spheres depends on the temperature as $4 π r^{2} d r = k d T$ . Initially, sphere 1 was at $100 K$ and sphere 2 was at $200 K$ . As the temperature of sphere 1 is increased to $300 K$ , find the final mole ratio $(\frac{n_{1}^{'}}{n_{2}^{'}})$ .