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Gay Lussac's Law

4l of a gas a...

Question

$4 l$ of a gas at $27^{o} C$ and $1$ atm is heated to $227^{o} C$ and $2$ atm. Find the new volume under the above conditions and also at STP :(Write up to 3 decimal places)

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Solution

$\frac{P_{2} V_{2}}{T_{2}} = \frac{P_{1} V_{1}}{T_{1}} ⟹ V_{2} = \frac{1 a t m \times 4 l \times 500 K}{2 a t m \times 300 K} = 3.33 l i t$
Now at STP, $V_{2} = \frac{1 a t m \times 4 l \times 273.15 K}{1 a t m \times 300 K} = 3.642 l i t$

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