A closed tank has two compartments A and B, both filled with oxygen (assumed to be ideal gas). The partition separating the two compartments is fixed and is a perfect heat insulator (Figure $1$ ). If the old partition is replaced by a new partition which can slide and conduct heat but does not allow the gas to leak across (Figure $2$ ), the volume (in $m^{3}$ ) of the compartment A after the system attains equilibrium is _________.

Question

Aicharya · Accepted Answer

When equilibrium is established, the final T and P would be the same. Hence, volume ration would be equal to mole ratio. v 1 v 2 = n 1 n 2 ⇒ v 1 v 2 = 5 400 R 3 300 R = 5 4 ∴ v 1 v T = 5 9 ∴ v 1 = 5 9 × v T = 5 9 × 4 = 2.22

A closed tank has two compartments A and B , both filled with oxygen (assumed to be ideal gas). The…

Solution