Answer :
To find the [tex]\(\%( m / v )\)[/tex] (percent mass/volume) of a KCl solution, follow these steps:
1. Identify the mass of KCl in grams (g):
The mass of KCl is given as [tex]\(3.26 \, \text{g}\)[/tex].
2. Identify the volume of the solution in milliliters (mL):
The volume of the solution is given as [tex]\(25.0 \, \text{mL}\)[/tex].
3. Understand the formula for [tex]\(\%( m / v )\)[/tex]:
The formula for percent mass/volume concentration is:
[tex]\[ \% ( m / v ) = \left( \frac{\text{mass of solute (g)}}{\text{volume of solution (mL)}} \right) \times 100 \][/tex]
4. Substitute the given values into the formula:
[tex]\[ \% ( m / v ) = \left( \frac{3.26 \, \text{g}}{25.0 \, \text{mL}} \right) \times 100 \][/tex]
5. Perform the division:
[tex]\[ \frac{3.26 \, \text{g}}{25.0 \, \text{mL}} = 0.1304 \, \text{g/mL} \][/tex]
6. Multiply by 100 to get the percentage:
[tex]\[ 0.1304 \times 100 = 13.04 \][/tex]
Therefore, the [tex]\( \%( m / v ) \)[/tex] of the KCl solution is [tex]\(13.04\%\)[/tex].
1. Identify the mass of KCl in grams (g):
The mass of KCl is given as [tex]\(3.26 \, \text{g}\)[/tex].
2. Identify the volume of the solution in milliliters (mL):
The volume of the solution is given as [tex]\(25.0 \, \text{mL}\)[/tex].
3. Understand the formula for [tex]\(\%( m / v )\)[/tex]:
The formula for percent mass/volume concentration is:
[tex]\[ \% ( m / v ) = \left( \frac{\text{mass of solute (g)}}{\text{volume of solution (mL)}} \right) \times 100 \][/tex]
4. Substitute the given values into the formula:
[tex]\[ \% ( m / v ) = \left( \frac{3.26 \, \text{g}}{25.0 \, \text{mL}} \right) \times 100 \][/tex]
5. Perform the division:
[tex]\[ \frac{3.26 \, \text{g}}{25.0 \, \text{mL}} = 0.1304 \, \text{g/mL} \][/tex]
6. Multiply by 100 to get the percentage:
[tex]\[ 0.1304 \times 100 = 13.04 \][/tex]
Therefore, the [tex]\( \%( m / v ) \)[/tex] of the KCl solution is [tex]\(13.04\%\)[/tex].
