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Chemistry

Assuming temperature remaining constant calculate the pressure of the gas :

The pressure of a gas having volume 1800 ml. originally occupying 300 ml. at 6 atms. pressure.

Gas Laws

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Answer

V1 = Initial volume of the gas = 300 ml
P1 = Initial pressure of the gas = 6 atmos.

V2 (Final volume) = 1800 ml
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 :

6×300=P2×1800P2=18001800P2=1 atm. 6 \times 300 = \text{P}2 \times 1800 \\[0.5em] \text{P}2 = \dfrac{1800 }{1800} \\[0.5em] \text{P}_2 = 1\text{ atm. }

Therefore, final pressure of the gas = 1 atm.

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