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.

Question

Physics

Muhammad Sharp

15 July, 23:43

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.

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Answers (1)

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Kristopher Dorsey · Answer 1

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