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Chemistry

Assuming temperature remaining constant calculate the pressure of the gas :

The pressure of a gas having volume 100 lits. originally occupying 75 dm3 at 700 mm. pressure.

Gas Laws

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Answer

V1 = Initial volume of the gas = 75 dm3
As 1 dm3 = 1 lit, hence, 75 dm3 = 75 lit
P1 = Initial pressure of the gas = 700 mm

V2 (Final volume) = 100 lit.
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 :

700×75=100×P2P2=700×75100P2=525 mm 700 \times 75 = 100 \times \text{P}2 \\[0.5em] \text{P}2 = \dfrac{700 \times 75 }{100} \\[0.5em] \text{P}_2 = 525 \text{ mm }

Therefore, final pressure of the gas = 525 mm.

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