Many computer chips are manufactured from silicon, which occurs in nature as SiO2. When SiO2 is heated to melting, it reacts with solid carbon to form liquid silicon and carbon monoxide gas. In an industrial preparation of silicon, 155.8 kg of SiO2 reacts with 78.3 kg of carbon to produce 66.1 kg of silicon. Determine the percent yield for the reaction.
Ch.4 - Chemical Quantities & Aqueous Reactions
Chapter 4, Problem 54
Calculate the molarity of each solution. a. 0.38 mol of LiNO3 in 6.14 L of solution b. 72.8 g C2H6O in 2.34 L of solution c. 12.87 mg KI in 112.4 mL of solution

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<insert step 1> Identify the formula for molarity: Molarity (M) = \( \frac{\text{moles of solute}}{\text{liters of solution}} \).
<insert step 2> For part (a), use the given moles of LiNO_3 and volume of solution to calculate molarity: \( M = \frac{0.38 \text{ mol}}{6.14 \text{ L}} \).
<insert step 3> For part (b), first convert the mass of C_2H_6O to moles using its molar mass (46.08 g/mol for ethanol), then calculate molarity: \( \text{moles} = \frac{72.8 \text{ g}}{46.08 \text{ g/mol}} \) and \( M = \frac{\text{moles}}{2.34 \text{ L}} \).
<insert step 4> For part (c), convert the mass of KI from mg to g (1 mg = 0.001 g), then to moles using its molar mass (166.00 g/mol for KI), and convert the volume from mL to L (1 mL = 0.001 L), then calculate molarity: \( \text{moles} = \frac{12.87 \text{ mg} \times 0.001 \text{ g/mg}}{166.00 \text{ g/mol}} \) and \( M = \frac{\text{moles}}{0.1124 \text{ L}} \).
<insert step 5> Ensure all units are consistent and calculations are correct to find the molarity for each solution.>

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