A solution is 42% NaCl by mass. If 314 mL of H2O was used to create the solution, calculate the , mass of salt that was used.
[x g solute/(x g solute + 314 g H2O)]*100 = 42
Solve for x
To calculate the mass of salt used, we need to find the mass percentage of salt in the solution and then use that percentage to calculate the mass of salt.
First, let's understand what it means when we say the solution is 42% NaCl by mass. This means that in 100 grams of the solution, 42 grams would be NaCl, and the remaining 58 grams would be water.
To calculate the mass of salt used, we need to find the mass of the solution. We know that the volume of water used to create the solution is 314 mL. However, we need to convert this volume to mass since we're dealing with mass percentages.
The density of water is approximately 1 gram per milliliter (g/mL). Therefore, the mass of water used is:
Mass of water = Volume of water × Density of water = 314 mL × 1 g/mL = 314 grams
Since the solution is 42% NaCl by mass, the mass of NaCl in the solution is:
Mass of NaCl = Mass of solution × Percentage of NaCl = 314 grams × 42% = 132 grams
Therefore, the mass of salt used to create the solution is 132 grams.