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Dalton's Law of Partial Pressures

A 200 cc flas...

Question

A 200 cc flask contains oxygen at 200 mm pressure and a 300 cc flask contains nitrogen at 100 mm pressure. The two flasks are connected so that each gas occupies the combined volume. The total pressure of the mixture in mm is:

A

80

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B

60

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C

140

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D

300

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Solution

The correct option is C 140
According to Dalton's law of partial pressure,
$P_{1} V_{1} + P_{2} V_{2} = P V_{t o t a l}$
Here, $P_{1} = 200 c c, P_{2} = 300 c c, V_{1} = 200 m m, V_{2} = 100 m m$
So, here total volume is 500mm
$∴ 200 \times 200 + 300 \times 100 = P \times 500$
$P = 140 m m$

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