Initially a gas of diatomic molecules are contained in a cylinder of volume V1 at a pressure P1 and temperature 250 K. Assuming that 25% of the molecules get dissociated causing a change in the number of moles. The pressure of the resulting gas at temperature 2000 K, when contained in a volume 2V1 is given by P2. The ratio P2 / P1 is ________.
25% will dissociate out of 100.
3n / 4 molecules will remain the same as S (n / 4) mole become → n / 2
∴ Total molecules used
→ (3n / 4) + (n / 2) = (5n / 4)
P22V1 = (5n / 4) . R . 2000 — (ii)
Equation (ii / i)
2p2v1 / p1v1 = [5nR × 2000] / [4nR × 250]
(P2 / P1) = 5