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Chemistry

Assuming temperature remaining constant calculate the pressure of the gas :

The pressure of a gas having volume 1500 cm3 originally occupying 750 cc. at 5 atms. pressure.

Gas Laws

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Answer

V1 = Initial volume of the gas = 750 cc
P1 = Initial pressure of the gas = 5 atms.

V2 (Final volume) = 1500 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 :

5×750=P2×1500P2=5×7501500P2=2.5 atms 5 \times 750 = \text{P}2 \times 1500 \\[0.5em] \text{P}2 = \dfrac{5 \times 750}{1500} \\[0.5em] \text{P}_2 = 2.5 \text{ atms }

Therefore, final pressure of the gas = 2.5 atms.

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