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एक हाइड्रोकार्बन के विघटन का वेग सिथरांक 546 K पर `2.5418 xx 10^(-5)s^(-1)` हैं। यदि सक्रियण ऊर्जा `179.9 kJ//mol` हो तो प्री- एक्सपोनेनिशयल कारका का मन क्या होगा?

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दिया हैं: `k=2.418 xx 10^(-5)s^(-1)`
T=546 K, `E_(a) = 179.9 kJ mol^(-1)`
आरहीनियम समीकरण के अनुसार,
`k=Ae^(-E_(a)//RT)`
`2.303 log_(10)k= 2.303 log_(10)A-E_(a)/(RT)`
`log_(10)A=log_(10)k=E_(a)/(2.303 RT)`
`=log_(10) 2.418 xx 10^(-5) + E_(a)/(2.303 RT)`
`=log_(10)2.418 xx 10^(-5) + 179.9/(2.303 + 8.314 xx 10^(-3) xx 546)`
`=-4.6165 + 17.2082 = 12.5917`
A=`"antilog"_(10)12.5917 = 3.91 xx 10^(12) s^(-1)`

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