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Five grams of KCIO(3) yield 3.041 g of K...

Five grams of `KCIO_(3)` yield `3.041 g` of `KCI` and `1.36 L` of oxygen at standard temperature and pressure. Show that these figures support the law of conservation of mass within limits of `+- 0.4 %` error.

Text Solution

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According to gram-molecular volume law, `22.4 L` of all gases and vapours at `STP` weigh equal to their molecular weights denoted in grams.
`:.` Weight of `1.36 L` of oxygen at `STP = (32 xx 1.36)/(22.4) = 1.943 g`
Weight of `KCl` formed `= 3.041 g` (given)
`:.` Total weight of product `(KCl + O_(2))`
`= 3.041 + 1.943 = 4.984 g`
Error `= 5 - 4.984 = 0.01 g`
`%` error `= (0.016 xx 100)/(5) = 0.32`
Hence, the law of conservation of mass is valid within limits of `- 0.4%` error. Thus, the law is supported.
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