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Chemistry

24 cc Marsh gas (CH4) was mixed with 106 cc oxygen and then exploded. On cooling, the volume of the mixture became 82 cc, of which, 58 cc was unchanged oxygen. Which law does this experiment support? Explain with calculations.

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Answer

This experiment supports Gay-Lussac's law of combining volumes.

Since the unchanged oxygen is 58 cc so, used oxygen 106 - 58 = 48cc

According to Gay-Lussac's law, the volumes of gases reacting should be in a simple ratio.

CH4+2O22CO2+H2O1 vol.:2 vol.24 cc:48 cc\begin{matrix} \text{CH}4 & + & 2\text{O}2 & \longrightarrow & 2\text{CO}2 + \text{H}2\text{O} \\ 1 \text{ vol.} & : & 2 \text{ vol.} \\ 24 \text{ cc} & : & 48 \text{ cc} \end{matrix}

Hence, methane and oxygen are in the ratio 1:2 .

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