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Calculate the activation energy for a chemical reaction that has a rate constant of 0.007 mol/L/s at 25°C and 0.059 mol/L/s at 35°C.

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To calculate the activation energy  Ea  for a chemical reaction, we can use the Arrhenius equation: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/molK , and T is the temperature in Kelvin.We have two sets of data: k1 = 0.007 mol/L/s at T1 = 25C  298.15 K  and k2 = 0.059 mol/L/s at T2 = 35C  308.15 K . We can set up two equations using the Arrhenius equation:k1 = A * exp -Ea /  R * T1  k2 = A * exp -Ea /  R * T2  Now, we can solve for the activation energy  Ea . First, divide the two equations:k1 / k2 = exp -Ea /  R * T1   / exp -Ea /  R * T2  Take the natural logarithm of both sides:ln k1 / k2  = -Ea /  R * T1  + Ea /  R * T2 Rearrange the equation to solve for Ea:Ea = R *  T1 * T2  * ln k1 / k2  /  T2 - T1 Now, plug in the given values:Ea = 8.314 J/molK *  298.15 K * 308.15 K  * ln 0.007 mol/L/s / 0.059 mol/L/s  /  308.15 K - 298.15 K Ea  8.314 * 300 * ln 0.007 / 0.059  / 10Ea  2494.2 *  -2.3026 Ea  -5738.5 J/molThe activation energy for the chemical reaction is approximately -5738.5 J/mol. However, the activation energy should be a positive value, so there might be an error in the given rate constants or temperatures. Please double-check the given values and try again.

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