An aminoglycoside complexed with copper has been shown to cleave DNA and can potentially be used as an antitumor agent. The glycoside cleaves DNA at a rate of $3.57 \mathrm{~h}^{-1}$ whereas the uncatalyzed rate of DNA hydrolysis is $3.6 imes 10^{-8} \mathrm{~h}^{-1}$. What is the rate enhancement for DNA cleavage by the aminoglycoside?

Question

An aminoglycoside complexed with copper has been shown to cleave DNA and can potentially be used as an antitumor agent. The glycoside cleaves DNA at a rate of $3.57 \mathrm{~h}^{-1}$ whereas the uncatalyzed rate of DNA hydrolysis is $3.6 	imes 10^{-8} \mathrm{~h}^{-1}$. What is the rate enhancement for DNA cleavage by the aminoglycoside?

Accepted Answer

∻Answer∻ ⚹ The rate enhancement for DNA cleavage by the aminoglycoside is $9.92 imes 10^6$ times faster than the uncatalyzed rate. ⚹ ∻Solution∻ ‖ a ⋮ Calculate the rate enhancement by dividing the catalyzed rate by the uncatalyzed rate: $ ext{Rate enhancement} = \frac{ ext{Catalyzed rate}}{ ext{Uncatalyzed rate}}$. ‖ ‖ b ⋮ Substitute the given rates into the formula: $ ext{Rate enhancement} = \frac{3.57 \, \mathrm{h}^{-1}}{3.6 imes 10^{-8} \, \mathrm{h}^{-1}}$. ‖ ‖ c ⋮ Perform the division to find the rate enhancement: $ ext{Rate enhancement} = 9.92 imes 10^6$. ‖ ∻Key Concept∻ ⚹ Rate enhancement is the factor by which a catalyst increases the rate of a reaction compared to the uncatalyzed rate. ⚹ ∻Explanation∻ ⚹ The rate enhancement is calculated by dividing the rate of the catalyzed reaction by the rate of the uncatalyzed reaction, providing a measure of the catalytic efficiency of the aminoglycoside. ⚹◊What specific mechanism allows the aminoglycoside complexed with copper to enhance the rate of DNA cleavage compared to the uncatalyzed rate?⍭ Generate me a similar question◊

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