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Ideal Gas Equation

A gas occupie...

Question

A gas occupies $600 m l$ at $27^{o} C$ and $730 m m$ pressure. What would be its volume at STP.

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Solution

Given: $V_{2} = \frac{600}{1000} m l$ ; $P_{1} = \frac{730}{760} a t m$ ; $T_{2} = 300 K$
We know that $\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}$
At STP $V_{1} = ?$ , $P_{1} = 1$ , $T_{1} = 273$
$V_{1} = \frac{P_{2} V_{2}}{T_{2}} \times \frac{T_{1}}{P_{1}} = 0.2622 \times 2 = 0.5244$
Volume at STP= $262.2 m l \times 2 = 524.4 m l$ .

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