Dinitrogen tetraoxide (N2O4) decomposes spontaneously at room temperature in the gas phase: N2O4(9) → 2NO2(g) The rate law governing the disappearance of N2O4 with time is d[N2O4] = k«[N2O4] dt At 30°C, k = 5.1 × 10® s-1 and the activation energy for the reaction is 54.0 kJ mol¬. (a) Calculate the time (in seconds) required for the partial pressure of N204(9) to decrease from 0.10 atm to 0.010 atm at 30°C. (b) Repeat the calculation of part (a) at 300°C.

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38. Dinitrogen tetraoxide (N2O4) decomposes spontaneously at room temperature in the gas phase:
N2O4(9) → 2NO2 (9)
The rate law governing the disappearance of N2O4 with time is
d[N2O4]
k[N2O4]
dt
At 30°C, k = 5.1 × 106 s-1 and the activation energy for the reaction is 54.0 kJ mol¬1.
(a) Calculate the time (in seconds) required for the partial pressure of N,04(g) to decrease from
0.10 atm to 0.010 atm at 30°C.
(b) Repeat the calculation of part (a) at 300°C.
Transcribed Image Text:38. Dinitrogen tetraoxide (N2O4) decomposes spontaneously at room temperature in the gas phase: N2O4(9) → 2NO2 (9) The rate law governing the disappearance of N2O4 with time is d[N2O4] k[N2O4] dt At 30°C, k = 5.1 × 106 s-1 and the activation energy for the reaction is 54.0 kJ mol¬1. (a) Calculate the time (in seconds) required for the partial pressure of N,04(g) to decrease from 0.10 atm to 0.010 atm at 30°C. (b) Repeat the calculation of part (a) at 300°C.
Expert Solution
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The given reaction is first order as governed by the rate law expression. The concentration of the reactant is raised to power one in the rate law expression.

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