Final answer:
To calculate the amount of heat in kJ that must be transferred to the SiO₂ and C reaction to produce 198 g of Si, you can use the law of conservation of energy and the heat of formation values for SiO₂, C, Si, and CO. Convert the mass of SiO₂ to moles, find the moles of Si produced using stoichiometry, and multiply the moles of Si by the heat of formation of Si to determine the heat required in kJ.
Step-by-step explanation:
To calculate the amount of heat in kJ that must be transferred to the reaction to produce 198 g of Si from SiO₂ and C, we need to consider the given reaction scheme: SiO₂(s) + 2C(s) → Si(s) + 2CO(g) with H = 690 kJ. To determine the heat required, we can use the heat of formation values for SiO₂, C, Si, and CO and apply the law of conservation of energy.
By using the law of conservation of energy, we can calculate the heat required as follows:
- Convert the mass of SiO₂ to moles.
- Find the moles of Si produced using the stoichiometry of the reaction.
- Multiply the moles of Si by the heat of formation of Si to find the amount of heat required in kJ.
Using this approach, we can calculate the amount of heat in kJ that must be transferred to the reaction.