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In a reaction the following equation hol...

In a reaction the following equation holds good as per chemical kinetics is viewed. `logk=4-4000/(2.303RT)`. The frequency factor is `10^(x)`. What is x.

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To solve the problem, we start with the given equation from chemical kinetics: \[ \log k = 4 - \frac{4000}{2.303RT} \] We need to compare this equation with the general form of the Arrhenius equation, which is: \[ \log k = \log A - \frac{E_a}{2.303RT} \] Where: - \( k \) is the rate constant, - \( A \) is the frequency factor, - \( E_a \) is the activation energy, - \( R \) is the universal gas constant, - \( T \) is the temperature in Kelvin. ### Step 1: Identify the components From the given equation, we can identify the following components: - The term \( 4 \) corresponds to \( \log A \). - The term \( 4000 \) corresponds to the activation energy \( E_a \). ### Step 2: Solve for the frequency factor \( A \) Since \( \log A = 4 \), we can find \( A \) by converting from logarithmic form to exponential form: \[ A = 10^{\log A} = 10^4 \] ### Step 3: Determine \( x \) The frequency factor \( A \) can be expressed as \( 10^x \). From our previous calculation, we have: \[ A = 10^4 \] This means that: \[ x = 4 \] ### Final Answer Thus, the value of \( x \) is: \[ \boxed{4} \]

To solve the problem, we start with the given equation from chemical kinetics: \[ \log k = 4 - \frac{4000}{2.303RT} \] We need to compare this equation with the general form of the Arrhenius equation, which is: ...
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