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Chemistry

Assuming temperature remaining constant calculate the pressure of the gas :

The pressure of a gas having volume 1000 cc. originally occupying 1500 cc. at 720 mm. pressure.

Gas Laws

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Answer

V1 = Initial volume of the gas = 1500 cc
P1 = Initial pressure of the gas = 720 mm

V2 (Final volume) = 1000 cc
P2 = Final pressure of the gas = ?

By Boyle's Law:

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

Substituting the values :

720×1500=1000×P2P2=720×15001000P2=1080 mm 720 \times 1500 = 1000 \times \text{P}2 \\[1em] \text{P}2 = \dfrac{720 \times 1500 }{1000} \\[1em] \text{P}_2 = 1080 \text{ mm }

Therefore, final pressure of the gas = 1080 mm.

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