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How many grams of solute are needed to prepare each of the following solutions? a. \(1.000 \mathrm{L}\) of \(0.200 M \mathrm{NaCl}\) b. \(250.0 \mathrm{mL}\) of \(0.125 M \mathrm{CuSO}_{4}\) c. \(500.0 \mathrm{mL}\) of \(0.400 M \mathrm{CH}_{3} \mathrm{OH}\)

Short Answer

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a. 1.000 L of 0.200 M NaCl solution b. 250.0 mL of 0.125 M CuSO4 solution c. 500.0 mL of 0.400 M CH3OH solution Answer: a. 11.69 g of NaCl b. 4.99 g of CuSO4 c. 6.41 g of CH3OH

Step by step solution

01

Calculate moles of NaCl

To calculate the moles of sodium chloride (NaCl) needed, multiply the volume of the solution in liters by its molarity: moles of NaCl = volume × molarity = 1.000 L × 0.200 M = 0.200 mol
02

Calculate mass of NaCl

Now, we need to calculate the mass of 0.200 moles of NaCl. To do this, we multiply the moles of NaCl by its molar mass (58.44 g/mol). mass of NaCl = moles × molar mass = 0.200 mol × 58.44 g/mol = 11.69 g Thus, 11.69 grams of NaCl is needed. #b)
03

Calculate moles of CuSO4

Convert the volume of the solution to liters and then multiply it by the molarity to find the moles of copper(II) sulfate (CuSO4) required: volume = 250.0 mL ÷ 1000 = 0.250 L moles of CuSO4 = volume × molarity = 0.250 L × 0.125 M = 0.03125 mol
04

Calculate mass of CuSO4

To calculate the mass of 0.03125 moles of CuSO4, multiply it by its molar mass (159.62 g/mol): mass of CuSO4 = moles × molar mass = 0.03125 mol × 159.62 g/mol = 4.99 g Thus, 4.99 grams of CuSO4 is needed. #c)
05

Calculate moles of CH3OH

Convert the volume of the solution to liters and then multiply it by the molarity to find the moles of methanol (CH3OH) required: volume = 500.0 mL ÷ 1000 = 0.500 L moles of CH3OH = volume × molarity = 0.500 L × 0.400 M = 0.200 mol
06

Calculate mass of CH3OH

To calculate the mass of 0.200 moles of CH3OH, multiply it by its molar mass (32.04 g/mol): mass of CH3OH = moles × molar mass = 0.200 mol × 32.04 g/mol = 6.41 g Thus, 6.41 grams of CH3OH is needed. So, the required grams of solute for each solution are: a. 11.69 g of NaCl b. 4.99 g of CuSO4 c. 6.41 g of CH3OH

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