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For the reaction N2(g) + 3H2(g) → 2NH3(g), what is the correct relation between the rate of change of ammonia concentration and the rate of change of hydrogen concentration?

1. d[NH3]/dt = -2 d[H2]/dt / 3
2. d[NH3]/dt = 3 d[H2]/dt / 2
3. d[NH3]/dt = - d[H2]/dt
4. d[NH3]/dt = - d[H2]/dt / 3

Correct answer: d[NH3]/dt = -2 d[H2]/dt / 3

Solution

For N2 + 3H2 -> 2NH3: (1/2) d[NH3]/dt = -(1/3) d[H2]/dt. Therefore d[NH3]/dt = -(2/3) d[H2]/dt, i.e. d[NH3]/dt = -2 d[H2]/dt / 3.

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