Answer:
[tex]Q=-71.1kJ[/tex]
Explanation:
Hello!
In this case, since the formation of ammonia by starting with nitrogen and therefore hydrogen is:
[tex]N_2+3H_2\rightarrow 2NH_3[/tex]
Which has an energy of reaction of:
[tex]\Delta _fH_{NH_3}=-45.90 \frac{kJ}{molNH_3}[/tex]
We can compute the energy required for this reaction by first computing the moles of ammonia yielded by 21.7 grams of nitrogen (28.02 g/mol) via stoichiometry:
[tex]n_{NH_3}=21.7gN_2*\frac{1molN_2}{28.02gN_2}*\frac{2molNH_3}{1molN_2}=1.55molNH_3[/tex]
Thus, the energy turns out:
[tex]Q=n_{NH_3}\Delta _fH_{NH_3}=1.55molNH_3 * -45.90 \frac{kJ}{molNH_3}\\\\Q=-71.1kJ[/tex]
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