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The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 1000 cubic centimeters when the pressure is 450 mm Hg, find the volume when the pressure is 250 mm Hg.

Respuesta :

JcAlmighty
The answer is 1800 cm³

Since T = const,
P1 = k / V1
k = P1 * V1

P2 = k * V2
k = P2 * V2

k = P1 * V1 = P2 * V2

V1 = 1000 cm³
P1 = 450 mm Hg
V2 = ?
P2 = 250 mm Hg

P1 * V1 = P2 * V2
V2 = P1 * V1 / P2
V2 = 1000 * 450 / 250 = 1800 cm³

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