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Chemistry

What volume will a gas occupy at 740 mm pressure which at 1480 mm occupies 500 cc ? [Temperature being constant]

Gas Laws

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Answer

V1 = Initial volume of the gas = 500 cc
P1 = Initial pressure of the gas = 1480 mm

P2 = Final pressure of the gas = 740 mm
V2 = Final volume of the gas = ?

By Boyle's Law:

P1V1=P2V2\text{P}1 \text{V}1 = \text{P}2 \text{V}2

Substituting the values :

1480×500=V2×740V2=1480×500740V2=1000 cc1480 \times 500 = \text{V}2 \times 740 \\[0.5em] \text{V}2 = \dfrac{1480 \times 500}{740} \\[0.5em] \text{V}_2 = 1000 \text{ cc}

Therefore, final volume of the gas = 1000 cc

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