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A chemistry student wants to investigate the activation energy for a reaction between hydrogen and chlorine gases. The student measures the initial and final temperatures of the reaction mixture, and the rate of gas evolution. Based on this information, the student wants to calculate the activation energy of t

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To determine the activation energy of the reaction using the Arrhenius equation, the student should follow these steps:1. Collect data: The student should perform the reaction at least two different temperatures  T1 and T2  and measure the corresponding reaction rates  k1 and k2 .2. Understand the Arrhenius equation: The Arrhenius equation is given by k = A * exp -Ea / R * T , where k is the rate constant, A is the pre-exponential factor, Ea is the activation energy, R is the gas constant  8.314 J/mol*K , and T is the temperature in Kelvin.3. Take the natural logarithm of the Arrhenius equation: ln k  = ln A  - Ea /  R * T .4. Calculate the natural logarithm of the rate constants: Calculate ln k1  and ln k2  using the measured reaction rates.5. Set up two equations using the Arrhenius equation for both temperatures: ln k1  = ln A  - Ea /  R * T1  and ln k2  = ln A  - Ea /  R * T2 .6. Subtract the two equations to eliminate the pre-exponential factor  A : ln k2/k1  = Ea / R *  1/T1 - 1/T2 .7. Rearrange the equation to solve for Ea: Ea = R * ln k2/k1  /  1/T1 - 1/T2 .8. Plug in the values: Substitute the values of R, k1, k2, T1, and T2 into the equation and solve for Ea.9. Calculate the activation energy: The result will be the activation energy of the reaction in units of Joules per mole  J/mol .By following these steps, the student can determine the activation energy of the reaction between hydrogen and chlorine gases using the Arrhenius equation.

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