I would do this.
Use rate = k[C], substitute from the problem and solve for k. Then use the Arrhenius equation, substitute k and the other variables and solve for T.
Here is a link for the Arrhenius equation.
http://en.wikipedia.org/wiki/Arrhenius_equation
An industrial chemical reaction has a rate law: rate = k [C]. The activation energy for the reaction is 3.0000 x 10^4 J/mol and A = 2.000 x 10^-3. What must be the reaction temperature if a rate of 1.000 x 10^-9 M/s is required and [C] must be kept at 0.03000M. Hint: What must be the value of k to achieve the necessary rate?
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