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Gay Lussac's Law

Balloons of ...

Question

Balloons of $4 l$ capacity are to be filled with hydrogen at a pressure of $1$ atm and $27^{o} C$ from an $8 l$ cylinder containing hydrogen at $10$ atm at the same temperature. Find the number of balloons that can be filled.

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Solution

$\frac{{P_{1} V}_{1}}{T_{1}} = \frac{{P_{2} V}_{2}}{T_{2}} ⟹ \frac{10 a t m \times 8 l}{300 K}$
$= \frac{1 a t m \times V_{2}}{300 K} ⟹ V_{2} = 80 l$
No. of balloons of $4 l$ capacity= $\frac{80 l}{4 l} = 20$

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