What is the percent by mass of sodium hydrogen carbonate if 40 grams of solute is dissolved in 600 mL of water?

To determine the percent by mass of sodium hydrogen carbonate in the solution, we first need to calculate the total mass of the solution. The percent by mass is defined as the mass of the solute divided by the total mass of the solution, multiplied by 100.

In this case, the mass of sodium hydrogen carbonate (the solute) is 40 grams. The mass of the solvent (water) can be calculated using the density of water, which is approximately 1 gram per milliliter. Therefore, 600 mL of water would have a mass of about 600 grams.

Now, we can calculate the total mass of the solution:

[ \text{Total mass of solution} = \text{mass of solute} + \text{mass of solvent} ]

[ \text{Total mass of solution} = 40 , \text{g} + 600 , \text{g} = 640 , \text{g} ]

Next, we will calculate the percent by mass:

[ \text{Percent by mass} = \left( \frac{\text{mass of solute}}{\text{total mass of solution}} \right) \times 100 ]

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