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A candle is burnt in a beaker until it e...

A candle is burnt in a beaker until it extinguishes itself. A sample of gaseous mixture in the beaker contains `6.08 xx 10^(20)` molecules of `N_(2), 0.76 xx 10^(20)` molecules of `O_(2)`, and `0.50 xx 10^(20)` molecules of `CO_(2)`. The total pressure is 734 mm of Hg. The partial pressure of `O_(2)` would be

A

760.0 mm of Hg

B

76.0 mm of Hg

C

7.6 mm of Hg

D

0.76 mm of Hg

Text Solution

Verified by Experts

The correct Answer is:
B
`P_(O_(2)) = P_("Total") xx chi_(O_(2))` (mole fraction of `O_(2)`) `chi_(O_(2)) = (n_(O_(2)))/(n_(O_(2)) + n_(N_(2)) + n_(CO_(2)))`
`chi_(O_(2)) = (0.76 xx 10^(20))/((0.76 + 0.50 + 6.08) xx 10^(20)) = (0.76)/(7.34) " " P_(O_(2)) = P_("Total") xx chi_(O_(2)) = 734 xx (0.76)/(7.34) =76.0 mm` of Hg
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