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A collapsed balloon is filled with He to...

A collapsed balloon is filled with He to a volume of 12 L at a pressure of 1.0 atm. Oxygen gas is then added, so that the final volume of balloon is 26 L with a total pressure of 1.0 atm. The temperature, constant throughout, is equal to `20^(@)C`. Determine mass of oxygen gas added

A

32.34 g

B

16.21 g

C

28.34 g

D

18.67 g

Text Solution

Verified by Experts

The correct Answer is:
D

n (He) = `(pV)/(RT) = (1 xx 12)/(0.082 xx 293) = 0.50`
At constant , T &p , `V prop n , (V_(2))/(V_(1)) = (n_(2))/(n_(1)) implies (26)/(12) = (n_(2))/(0.5) implies n_(2) = 1.0833`
`implies n(O_(2)) = 1.0833 - 0.50 = 0.5833 xx 32 = 18.67` g
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