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JEE Advanced levelSingle correct optionDifficulty 3 of 3pn197

One litre of ozonised oxygen is heated so that all ozone decomposes ( $2 O X_{3} 3 O X_{2}$ ) and the volume, measured at the same temperature and pressure, becomes 1.2 L. The percentage of ozone by volume in the original gas is

A25
B20
C40
D60

Answer: C

Let the volume of

O X_{3}

be

v

. Each 2 volumes of

O X_{3}

give 3 volumes of

O X_{2}

, an increase of 0.5 volume per volume of

O X_{3}

. So

0.5 v = 1.2 - 1.0 = 0.2

, giving

v = 0.4

L, which is 40% of 1 L.

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