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Answer:

1.648 moles of ammonia will be required to produce 0.824 moles of nitrogen gas.

Explanation:

[tex]2NH_3\rightarrow N_2+3H_2[/tex]

According to reaction 1 mole of nitrogen gas is produced by 2 moles of ammonia.

Then, 0.824 moles of nitrogen gas will be produced by:

[tex]\frac{2}{1}\times 0.824 mol=1.648 mol[/tex]

1.648 moles of ammonia will be required to produce 0.824 moles of nitrogen gas.

0.824 moles of nitrogen gas will be produced by 0.412 mol [tex]\bold {NH_3}[/tex] since the molar ratio of ammonia and nitrogen gas is 2:1.

What is the Mole concept?

A mole is the measurement of a certain number of molecules, atoms, or ions.

1 mole =  [tex]6.02 \times 10^2^3[/tex]

Two moles [tex]\bold {NH_3}[/tex]  are dissociated to produce 1 mole of [tex]\bold N_2 {}[/tex] and 3 moles of [tex]\bold {H_2}[/tex].

[tex]\bold {2NH_3 \rightarrow N_2 +3H_2}[/tex]

Therefore, 0.824 moles of nitrogen gas will be produced by 0.412 mol [tex]\bold {NH_3}[/tex], since the molar ratio of ammonia and nitrogen gas is 2:1.

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