Final answer:
The number of moles of KClO₃ solid that must be reacted to transfer -34.2 kJ of heat according to the balanced chemical equation is 0.38 mol.
Step-by-step explanation:
The enthalpy change for the given balanced chemical equation is -89.4 kJ.
We can use the formula q = m*C*ΔT, where q is the heat transferred, m is the mass of the substance, C is the specific heat capacity, and ΔT is the change in temperature.
Since we have ΔH (enthalpy change) and we want to find the number of moles of KClO₃, we can use the equation ΔH = nΔH (enthalpy change) to solve for n (number of moles of KClO₃). Rearranging the equation, we have n = ΔH / ΔH. Plugging in the given values, we get n = (-34.2 kJ) / (-89.4 kJ/mol KClO₃) = 0.38 mol KClO₃.