Calculate the number of milligrams of each of the following...

Calculate the number of milligrams of each of the following substances you would have to weigh out in order to prepare the listed solutions: (a) $1.00 \mathrm{~L}$ of $1.00 \mathrm{M} \mathrm{NaCl}$, (b) $0.500 \mathrm{~L}$ of 0.200 $M$ sucrose $\left(\mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}\right),$ (c) $10.0 \mathrm{~mL}$ of $0.500 \mathrm{M}$ sucrose, (d) $0.0100 \mathrm{~L}$ of $0.200 \mathrm{M} \mathrm{Na}_{2} \mathrm{SO}_{4},$ (e) $250 \mathrm{~mL}$ of $0.500 \mathrm{M} \mathrm{KOH},$ (f) $250 \mathrm{~mL}$ of $0.900 \% \mathrm{NaCl}(\mathrm{g} / 100 \mathrm{~mL}$ solution $)$

Calculate the number of milligrams of each of the following substances you would have to weigh out in order to prepare the listed solutions: (a) $1.00 \mathrm{~L}$ of $1.00 \mathrm{M} \mathrm{NaCl}$,
(b) $0.500 \mathrm{~L}$ of 0.200 $M$ sucrose $\left(\mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}\right),$ (c) $10.0 \mathrm{~mL}$ of $0.500 \mathrm{M}$ sucrose, (d) $0.0100 \mathrm{~L}$ of $0.200 \mathrm{M} \mathrm{Na}_{2} \mathrm{SO}_{4},$ (e)
$250 \mathrm{~mL}$ of $0.500 \mathrm{M} \mathrm{KOH},$ (f) $250 \mathrm{~mL}$ of $0.900 \% \mathrm{NaCl}(\mathrm{g} / 100 \mathrm{~mL}$ solution $)$

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Key Concepts

Molarity

Molarity is a measure of solution concentration expressed in moles of solute per liter of solution. It is fundamental in stoichiometric calculations involving solutions, as it allows one to determine the exact number of moles of solute needed for a given volume of solution.

Mole-to-Mass Conversion

This concept involves converting between moles and mass using the substance’s molar mass. By multiplying the number of moles (obtained from the molarity and volume) with the molar mass, one obtains the mass required, which is critical for accurately preparing solutions with the desired concentration.

Unit Conversions

Unit conversions are essential in quantitative problem solving, especially when switching between different units of measurement, such as grams to milligrams or liters to milliliters. These conversions ensure that the calculation of the solute mass is expressed in the required units.

Percentage Concentration

Percentage concentration is commonly used to describe the amount of solute in a specific volume of solution, often given as grams of solute per 100 milliliters of solution. Understanding how to interpret and convert these percentages is important when preparing solutions based on weight/volume percentages.

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