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निम्नलिखित आंकङो से सिद्ध करे कि का अपघटन प्रथम कोटि की अभिक्रिया है
image
`V,KMnO_4` का वह आयतन है जो मिश्रण के निश्चित आयतन को विभिन्न अंतरालों पर अनुमापन में लगता है
(दिया है - `log_(10)2=0.3010,log_(10)5=0.698,log_(10)10.5=1.021, log_(10)7.09=0.850`)

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प्रथम कोटि की अभिक्रिया के लिए
`K=(2.303)/tlog"V_0/V_t`
प्रथम प्रेक्षण के लिए , `K_1=(2.303)/(10)log_(10)"(25)/(16)`
=0.0442 `"मिनट"^(-1)`
द्वितीय प्रेक्षण के लिए `K_2=(2.303)/(20)log_(10)"(25)/(10.5)`
तृतीय प्रेक्षण के लिए `K_3=(2.303)/(30)log_(10)"(25)/(7.09)`
=0.0419 `"मिनट"^(-1)`
`K_1,K_2 " तथा " K_3` के मान लगभग सामान है अतः अभिक्रिया प्रथम कोटि की है

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