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Q.

Li metal is one of the few substances that reacts directly with molecular nitrogen. The balanced equation for reaction is :

6Li(s)+N2( g)2Li3 N( s)

How many grams of the product, lithium nitride, can be prepared from 3.5 g of lithium metal and 8.4 g of molecular nitrogen ?

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a

10.50 g of Li3N.

b

2.91 g of Li3N.

c

21.00 g of Li3N.

d

5.83 g of Li3N.

answer is C.

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Detailed Solution

Moles present in 3.5 g of Lithium is:

Moles of Li=3.57=0.5 mol

Moles present in 8.4 g of molecular nitrogen is:

Moles of N2=8.428=0.3 mol

According to the given reaction, one mole of N2 requires 6 moles of Li and 0.3 moles of N2 requires 1.8 moles of Li but available moles of Li is 0.5.

Hence, Li is the limiting reagent and decides the quantity of the product forms in the reaction.

6 moles of lithium produces 2 moles of Li3N. Moles of Li3N produces from 0.5 moles of Li is:

Moles of Li3N=26×0.5=16 mol

Mass of Li3N is:

Mass=Molar Mass×Moles=16×35=5.83 g

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