Dinitrogen tetraoxide (N,O4) decomposes spontaneously at room temperature in the gas phase: N2O4 (g) →2 NO2(g) The rate law governing the disappearance of N,O, with time is d[N¿O4] _ dt k[N¿O4] At 30°C, k = 5.1 × 10° s-' and the activation energy for the reaction is 54.0 kJ mol-!. (a) Calculate the time (in seconds) required for the partial pressure of N,0,(g) 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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Dinitrogen tetraoxide (N,O4) decomposes spontaneously
at room temperature in the gas phase:
N2O4 (g) →2 NO2(g)
The rate law governing the disappearance of N,O, with
time is
d[N¿O4] _
dt
k[N¿O4]
At 30°C, k = 5.1 × 10° s-' and the activation energy for
the reaction is 54.0 kJ mol-!.
(a) Calculate the time (in seconds) required for the partial
pressure of N,0,(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:Dinitrogen tetraoxide (N,O4) decomposes spontaneously at room temperature in the gas phase: N2O4 (g) →2 NO2(g) The rate law governing the disappearance of N,O, with time is d[N¿O4] _ dt k[N¿O4] At 30°C, k = 5.1 × 10° s-' and the activation energy for the reaction is 54.0 kJ mol-!. (a) Calculate the time (in seconds) required for the partial pressure of N,0,(g) 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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