Question

For all calculations, you must show your work steps, not just the final answer. If you cannot or do not know how to type the mathematical steps, then handwrite them on separate sheet, scan and upload. If vou do make the decision to type the answers through word-processing, then, all superscripts, subscripts, etc must be shown correctly. Read the following definitions before answering Questions 1 and 2: Mass percent = Mass of solute/ Mass of solution ×100 Mass of Solution = Mass of solute + Mass of solvent Show the calculations steps and answer the following: 1) If 4.0 g of NaCl is dissolved in 96.0 g of water, then, a) What is the mass of the resulting solution? b) What is the Mass-Percent of the solution? 2) If you want to prepare 500 g of 10% solution, then, a) how much mass of solute do you need? b) how much volume of solvent do you need?

Answer 1

a) The mass of the resulting solution is 100.0 g.

b)The Mass-Percent of the solution is 4.0%.

Step-by-step explanation:

a) To find the mass of the resulting solution, we use the formula
`\( \text{Mass of Solution} = \text{Mass of Solute} + \text{Mass of Solvent} \).`Given that 4.0 g of NaCl is dissolved in 96.0 g of water, the mass of the resulting solution is
`\(4.0 \, \text{g} + 96.0 \, \text{g} = 100.0 \, \text{g}\).`

b) The Mass-Percent of the solution is calculated using the formula
`\( \text{Mass Percent} = \frac{\text{Mass of Solute}}{\text{Mass of Solution}} * 100 \). Substituting the values, we get \( \frac{4.0 \, \text{g}}{100.0 \, \text{g}} * 100 = 4.0\% \)`. Therefore, the Mass-Percent of the solution is 4.0%.

a) To find the mass of solute needed to prepare a 10% solution with a total mass of 500 g, we use the formula
`\( \text{Mass of Solute} = \text{Mass Percent} * \text{Mass of Solution} \). Substituting the values, we get \( 0.10 * 500 \, \text{g} = 50.0 \, \text{g} \).`

b) The mass of solvent required is found using the formula
`\( \text{Mass of Solvent} = \text{Mass of Solution} - \text{Mass of Solute} \). Substituting the values, we get \( 500 \, \text{g} - 50.0 \, \text{g} = 450.0 \, \text{g} \).`Therefore, to prepare 500 g of a 10% solution, you need 50.0 g of solute and 450.0 g of solvent.