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Question
In a compound of magnesium (Mg = 24) and nitrogen (N = 14), 18 g of magnesium combines with 7g of nitrogen.
Deduce the simplest formula by answering the following questions:
- How many gram-atoms of magnesium are equal to 18g?
- How many gram-atoms of nitrogen are equal to 7g of nitrogen?
- Calculate the simple ratio of gram-atoms of magnesium to gram-atoms of nitrogen and hence the simplest formula of the compound formed.
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Solution
(a) G atoms of magnesium = `18/24` = 0.75 or `3/4` g-atoms
(b) G atoms of nitrogen = `7/14` = 0.5 or `1/2` g-atoms
(c) As calculated above,
Simplest ratio of `"g-atom of Mg"/"g-atom of N"`
= `(3/4)/(1/2)`
= `3/4 : 1/2`
∴ Mg : N = 3 : 2
∴ The simplest formula of the compound formed = Mg3N2
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