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Chemistry

At a constant temperature, volume of a gas was found to be 400 cm3 at a pressure of 760 mm Hg. If the pressure of the gas is increased by 25%, find the new volume.

Gas Laws

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Answer

V1 = Initial volume of the gas = 400 cm3
P1 = Initial pressure of the gas = 760 mm
P2 = Final pressure of the gas

= increased by 25% of 760 mm Hg

= 25100\dfrac{25}{100} of 760 mm Hg

= (14\dfrac{1}{4} x 760) + 760

= 190 + 760 = 950 mm

V2 = Final volume = ?

By Boyle's Law:

P1V1=P2V2\text{P}1 \text{V}1 = \text{P}2 \text{V}2

Substituting the values :

760×400=950×V2V2=400×760950V2=320 cm3760 \times 400 = 950 \times \text{V}2 \\[0.5em] \text{V}2 = \dfrac{400 \times 760 }{950} \\[0.5em] \text{V}_2 = 320 \text{ cm}^3

∴ Final volume = 320 cm3

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