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Chemistry

Volume of certain amount of a gas at 25°C and 100 cm Hg pressure is 80 mL. The gas is expanded to 160 mL keeping the temperature constant. Calculate the pressure of the expanded gas.

Gas Laws

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Answer

V1 = Initial volume of the gas = 80 mL
P1 = Initial pressure of the gas = 100 cm Hg
V2 = Final volume of the gas = 160 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 :

100×80=P2×160P2=1002P2=50 cm of Hg 100 \times 80 = \text{P}2 \times 160 \\[0.5em] \text{P}2 = \dfrac{100}{2} \\[0.5em] \text{P}_2 = 50 \text{ cm of Hg }

∴ Final pressure of the gas = 50 cm of Hg.

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