A certain chemical reaction releases 480. kJ of heat energy per mole of reactant consumed. Suppose some moles of the reactant are put into a calorimeter (a device for measuring heat flow). It takes 3.85 J of heat energy to raise the temperature of this calorimeter by 1 °C. Now the reaction is run until all the reactant is gone, and the temperature of the calorimeter is found to rise by 14.6 °C. How would you calculate the number of moles of reactant that were consumed? Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols. moles consumed-

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Explanation:

As we know that specific heat is the amount of energy required to raise the temperature by [tex]1^{o}C[/tex]. So here, specific heat is given as 3.85 J. And, the change in temperature is [tex]14.6^{o}C[/tex].

Therefore, we will calculate the heat energy as follows.

                   q = [tex]C \times \Delta T[/tex]      

                      = [tex]3.85 J \times 14.6^{o}C[/tex]

                      = 56.21 [tex]J^{o}C[/tex]

Since, it is given that heat released for 1 mole\ is 480 kJ or 48000 J (as 1 kJ = 1000 J). Therefore, moles required to produce 56.21 [tex]J/^{o}C[/tex] of heat is calculated as follows.

               [tex]\frac{56.21 J/^{o}C}{48000 J^{o}C}[/tex]

                = [tex]1.17 \times 10^{-3}[/tex] moles

Thus, we can conclude that number of moles of reactant that were consumed are [tex]1.17 \times 10^{-3}[/tex] moles.