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A closed vessel with rigid walls contains 1 mol of `._(92)^(238)U` and 1 mole of air at 298K. Considering complete decay of `._(92)^(238)U " to " ._(82)^(206)Pb`, the ratio of the final pressure to the initial pressure of the system at 298 K is

Answer» Correct Answer - 9
Initial moles of gases = 1
`underset("Initial moles 1 mole")(._(92)^(238)U rarr ._(82)^(206)Pb) + underset(8 "mole")(8_(2)^(4) He + 6 ._(-1)e^(0))`
Moles after
Total gaseous moles after decomposition `= 8 + 1 = 9` moles
Ratio of pressures `(P_(f))/(P_(i)) = (n_(f))/(n_(i)) = 9`


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