COMEDK · Chemistry · 19. Chemical Kinetics

In the synthesis of NH\(_3\) from H\(_2\) and N\(_2\), if \(6 \times 10^{-2}\) mole of hydrogen disappears in 10 minutes, the number of moles of NH\(_3\) formed in 0.3 minutes is:

A \(4.0 \times 10^{-3}\ moles\)
B \(1.5 \times 10^{-3}\ moles\)
C \(6.0 \times 10^{-3}\ moles\)
D \(1.2 \times 10^{-3}\ moles\)

Verified Solution

Answer & Solution

Correct Answer

(D) \(1.2 \times 10^{-3}\ moles\)

Step-by-step Solution

Detailed explanation

The balanced chemical equation for the synthesis of ammonia is: \(N_2 + 3H_2 \rightarrow 2NH_3\) The rate of disappearance of \(H_2\) is given by: \(-\dfrac{d[H_2]}{dt} = \dfrac{6 \times 10^{-2}}{10} = 6 \times 10^{-3}\text{ mol min}^{-1}\) From the stoichiometry of the…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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