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(a) One mole of nitrogen gas at 0.8 atm ...

(`a`) One mole of nitrogen gas at `0.8 atm` takes `38 s` to diffuse through a pinhole, whereas one mole of an unknown compound of xenon with fluorine at `1.6 atm` takes `57 s` to diffuse through the same hole. Calculate the molecular formula to the compound.
(`b`) The pressure exerted by `12 g` of an ideal gas at temperature `t^(@)C` in a vessel of volume `V litre` is `1 atm`. When the temperature is increased by `10^(@)C` at the same volume, the pressure increases by `10%`. Calculate the temperature `t` and volume `V`. (Molecular weight of the gas is `120`.)

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