What mass of solid NaOH (97.0 % by mass) is required to prepare 1.00 L of a 10.0% solution of NaOH by mass? The density of the 10.0% solution is 1.109 g/ml.

Respuesta :

Answer: The mass of 97 % of NaOH solution required is 114.33 g

Explanation:

To calculate mass of a substance, we use the equation:

[tex]\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}[/tex]

We are given:

Density of 10 % solution = 1.109 g/mL

Volume of 10% solution = 1 L = 1000 mL     (Conversion factor:  1 L = 1000 mL)

Putting values in above equation, we get:

[tex]1.109g/mL=\frac{\text{Mass of }10\%\text{ solution}}{1000mL}\\\\\text{Mass of }10\%\text{ solution}=1109g[/tex]

The mass of 10 % solution is 1109 g.

To calculate the mass of concentrated solution, we use the equation:

[tex]c_1m_1=c_2m_2[/tex]

where,

[tex]c_1\text{ and }m_1[/tex] are the concentration and mass of concentrated solution.

[tex]c_2\text{ and }m_2[/tex] are the concentration and mass of diluted solution.

We are given:

[tex]c_1=97\%\\m_1=?g\\c_2=10\%\\m_2=1109g[/tex]

Putting values in above equation, we get:

[tex]97\times m_1=10\times 1109\\\\m_1=114.33g[/tex]

Hence, the mass of 97 % of NaOH solution required is 114.33 g

To prepare 1.00 L of 10.0% NaOH by mass solution, 114 g of solid NaOH (97.0% by mass) are required.

What is the percent by mass?

It is the mass of the component divided by the mass of the solution, multiplied by 100%.

  • Step 1. Calculate the mass of 1.00 L of solution.

The density of the solution is 1.109 g/mL.

1.00 × 10³ mL × 1.109 g/mL = 1109 g

  • Step 2. Calculate the mass of pure NaOH required.

The concentration of NaOH will be 10.0% by mass, that is, 10.0 g of NaOH per 100 g of solution.

1109 g Solution × 10.0 g NaOH/100 g Solution = 111 g NaOH

  • Step 3. Calculate the mass of impure NaOH required.

The purity of NaOH is 97.0%.

111 g NaOH (pure) × 100 g NaOH (impure)/97.0 g NaOH (pure) = 114 g NaOH (impure)

To prepare 1.00 L of 10.0% NaOH by mass solution, 114 g of solid NaOH (97.0% by mass) are required.

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