5. The high-temperature decomposition of dimethyl ether (DME) is (CH3)20 (g) → CH4 (g) + H₂ (g) + CO (g) The following data are partial pressures of DME as a function of time at 504 °C: t=0 s PDME = 312 torr t = 390 s PDME = 264 torr t = 777 s PDME = 224 torr t = 1195 s PDME = 187 torr t=3155 s PDME =78.5 torr a) Show that the reaction is first order. b) What is the value of the rate constant, k? c) What is the total gas pressure at 390 s? d) What is the total gas pressure when the reaction has gone to completion? e) What is the total gas pressure at t = 1000. s?

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5. The high-temperature decomposition of dimethyl ether (DME) is
(CH3)2O (g) → CH4 (g) + H₂ (g) + CO (g)
The following data are partial pressures of DME as a function of time at 504 °C:
t = 0 s
PDME = 312 torr
t = 390 s
PDME = 264 torr
t = 777 s
PDME = 224 torr
t = 1195 s
PDME = 187 torr
t = 3155 s
PDME =78.5 torr
a) Show that the reaction is first order. b) What is the value of the rate constant, k?
c) What is the total gas pressure at 390 s? d) What is the total gas pressure when the
reaction has gone to completion? e) What is the total gas pressure at t = 1000. s?
Transcribed Image Text:5. The high-temperature decomposition of dimethyl ether (DME) is (CH3)2O (g) → CH4 (g) + H₂ (g) + CO (g) The following data are partial pressures of DME as a function of time at 504 °C: t = 0 s PDME = 312 torr t = 390 s PDME = 264 torr t = 777 s PDME = 224 torr t = 1195 s PDME = 187 torr t = 3155 s PDME =78.5 torr a) Show that the reaction is first order. b) What is the value of the rate constant, k? c) What is the total gas pressure at 390 s? d) What is the total gas pressure when the reaction has gone to completion? e) What is the total gas pressure at t = 1000. s?
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