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Chemistry

Assuming temperature remaining constant calculate the pressure of the gas :

The pressure of a gas having volume 380 lits. originally occupying 800 cm3 at 76 cm. pressure.

Gas Laws

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Answer

V1 = Initial volume of the gas = 800 cm3
P1 = Initial pressure of the gas = 76 cm

V2 (Final volume) = 380 lit.
As 1 lit. = 1000 cm3, hence, 380 lit. = 3,80,000 cm3
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 :

800×76=3,80,000×P2P2=800×763,80,000P2=0.16 cm800 \times 76 = 3,80,000 \times \text{P}2 \\[0.5em] \text{P}2 = \dfrac{800 \times 76 }{3,80,000 } \\[0.5em] \text{P}_2 = 0.16 \text{ cm}

Therefore, final pressure of the gas = 0.16 cm.

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