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Gay Lussac's Law, Avagadro's Law

Details of so...

Question

Details of some gases taken at $273 K$ temperature and $1$ atm pressure are given in the table.
Gas Volume (L) Number of moles
Hydrogen 224 10
Helium 112 5
Oxygen 224 10
Ammonia 56 2.5
(a) On the basis of which gas law, the volume and the number of moles are given in the table?
(b) Represent this gas law in mathematical form.
(c) Among these, if the pressure of hydrogen gas is changed to $2$ atm. Calculate the new volume.

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Solution

(a) Avogadro's law
(b) $V \propto n (P T$ constant)
(c) $V_{1} = 224 L, P_{1} = 1 a t m, P_{2} = 2 a t m, V_{2} =$ ?
$P_{1} V_{1} = P_{2} V_{2}$ or $V_{2} = P_{1} V_{1} / P_{2}$
$= \frac{1 a t m \times 224 L}{2 a t m} = 112 L$

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