How many moles of nitrogen atoms are present in $8 \mathrm{~g}$ of ammonium nitrate?

How many moles of nitrogen atoms are present in $8 \mathrm{~g}$ of ammonium nitrate?
  1. $0.1 \mathrm{~mol}$
  2. $0.2 \mathrm{~mol}$
  3. $0.4 \mathrm{~mol}$
  4. $0.8 \mathrm{~mol}$

Solution

Chemical formula of ammonium nitrate is $\begin{array}{ll} & \mathrm{NH}_4 \mathrm{NO}_3 . \\ & 1 \mathrm{~mol} \mathrm{NH}_4 \mathrm{NO}_3 \equiv 2 \mathrm{~mol} \mathrm{~N} \text {-atoms } \\ \therefore \quad & 80 \mathrm{~g} \mathrm{NH}_4 \mathrm{NO}_3^{-}=2 \mathrm{~mol} \mathrm{~N} \text {-atoms } \\ \therefore \quad & 8 \mathrm{~g} \mathrm{NH}_4 \mathrm{NO}_3=0.2 \mathrm{~mol} \mathrm{~N} \text {-atoms } \end{array}$

Asked in: MHT CET 2023 (10 May Shift 2)

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