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600 c.c. of a gas at a pressure of 750 mm of Hg is compressed to 500 c.c. Taking the temperature to remain constant, the increase in pressure is

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600 c.c. of a gas at a pressure of 750 mm of Hg is compressed to 500 c.c. Taking the temperature to remain constant, the increase in pressure is

(a) 150 mm of Hg

(b) 250 mm of Hg

(c) 350 mm of Hg

(d) 450 mm of Hg

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Correct answer: (a) 150 mm of Hg

Explanation:

Given initial volume (V1) = 600 c.c.; Initial pressure (P1) = 750 mm of Hg and final volume (V2) = 500 c.c. according to Boyle’s law

P1V1 = P2V2

or 750 x 600 = P2 x 500

or P2 = \(\frac{750 \times 600}{500}\)

= 900 mm of Hg

Therefore increase of pressure

= (900 - 750) = 150 mm of Hg

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