In the preparation of Iron from haematit...

In the preparation of Iron from haematite `(Fe_(2)O_(3))` by the reaction with carbon `Fe_(2)O_(3)+CrarrFe+CO_(2)` 94.5 kg of 10x% pure Iron could be produced from 120 kg of 90% pure `Fe_(2)O_(3)`? Find the value of x.

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The correct Answer is:

8

`2Fe_(2)O^(3)+3Crarr4Fe+3CO_(2)`
`2xx160g rarr4xx56gm`
`(90)/(100)xx120 rarr(10x)/(100)xx94.5implies x=8`

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