Question

If you were to prepare a 3.5% solution of sodium bicarbonate in water that required the total mass of the solution to be 50 g, what would the mass of the sodium bicarbonate be?

Answer 1

To prepare a 3.5% sodium bicarbonate solution with a total mass of 50 g, you need 1.75 g of sodium bicarbonate.

Step-by-step explanation:

To prepare a 3.5% solution of sodium bicarbonate (NaHCO3) in water where the total mass of the solution is 50 g, you must calculate the mass of the sodium bicarbonate needed.

By definition, a 3.5% mass/mass percent concentration means 3.5 g of solute is present in 100 g of solution. To find the mass of sodium bicarbonate in 50 g of solution:

Calculation

• Convert the percentage to a decimal: 3.5% = 0.035.
• Multiply this by the total mass of the solution: 0.035 × 50 g = 1.75 g.

Therefore, the mass of sodium bicarbonate needed is 1.75 g.

Answer 2

Given data:

- mass % = 3.5%

- mass of solution = 50g

- mass of solute (sodium bicarbonate) = ?

In order to find the mass of solute we must use the next formula

`mass\text{ \%}=\frac{mass\text{ of solute}}{mass\text{ of solution }}\cdot100\text{ \%}`

Since we need the mass of solute, we must solve the equation for mas of solute

`\text{mass of solute}=\frac{mass\text{ \%}\cdot mass\text{ of solution}}{100\text{ \%}}`

Now, we must replace the values in the equation

`\text{mass of solute }=\frac{3.5\text{ \%}\cdot50g}{100\text{ \%}}`

Finally, we must simplify

`\text{mass of solute}=1.75g`

ANSWER:

The mass of the sodium bicarbonate is 1.75 g