for dissociation of NH3 (taken in significant amount) occuring over small Pt surface, rate of dissociation of NH3 when it is taken at 20 bar pressure is 10⁻²bar/min. calculate rate of appearance of H₂ when NH₃ is taken at 30 bar pressure.
Answers
Answer:
31/27
Explanation:
NH₂COONH₄(s) = 2NH₃(g) + CO₂(g)
Step 1:
Let the initial partial pressure be “P”.
So, according to the balanced equation given, the partial pressure of NH₃ is “2P” and CO₂ is “P” .
The initial/original total pressure becomes = 2P + P = 3P……. (i)
∴ Kp = [ρNH₃]² [ρCO₂]
Or, Kp = [2P]² * [P] …….. (ii)
Step 2:
Since after adding NH₃, the partial pressure of NH₃ now becomes equal to the initial total partial pressure i.e., 3P and partial pressure of CO₂ will be “ P’ ”.
Total final pressure = 3P + P’ …… (iii)
∴ Kp = [3P]² * [P’] …….. (iv)
Step 3:
Equating (ii) & (iv), we get
[2P]² * [P] = [3P]² * [P’]
Or, 4 P = 9 P’
Or, P’ = 4P / 9 ….. (v)
Step 4:
Thus,
The ratio of the total final pressure to the initial/original total pressure is
= [3P + P’] / 3P ...... [from (i) & (iii)]
= [3P + (4P/9)] / 3P ........ [from (v)]
= [27P + 4P] / 27P
= 31/27
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Explanation: