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What is the minimum volume of oxygen tha...

What is the minimum volume of oxygen that must be mixed with 100 mL of carbon monoxide to convert it completely into carbon dioxde on explosion? Find the volume of carbon dioxidde formed at the same temperature and pressure. The volume of all gases are measured under the same conditions of temperature and pressure.

Text Solution

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The formation of `CO_(2)` by the explosion of a mixture of CO and `O_(2)` follows the equation given below:
`underset("2 volume")(2CO)+underset("1 volume")(O_(2)) to underset("2 volume")(2CO_(2))`
(under the identical conditions of pressure and temperature)
The above equation shows that under similar conditions of pressure and temperature, 2 volume of CO react with 1 volume of `O_(2)` to produe 2 volume of `CO_(2)`.
According to Gay-lussac's law of gaseous volumes, the ratio of the volumes of CO, `O_(2) and CO_(2)` is:
`2:1:2=2xx50:1xx50:2xx50=100:50:100`
Hence, 50mL of `O_(2)` must be mixed with 100 mL of CO so that `CO_(2)` formed as a result of the reaction will be of 100 mL.
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