What mass ( kg ) of the solvent H2O should be added with 0.1717 L of the solute formic acid to make a solution that is 0.626 m formic acid.
You will have to convert the solute to moles formic acid. Density:1.22 g/mL, liquid. Molmass: 46.03g/mol
To solve this problem, we need to calculate the mass of the solvent (H2O) required to make a solution of 0.626 m formic acid.
First, let's understand what "0.626 m formic acid" means. The unit "m" in this context stands for "molarity," which is the concentration of a solution expressed as the number of moles of solute per liter of solvent. In this case, the solute is formic acid.
Given:
- Volume of solute (formic acid) = 0.1717 L
- Molarity of formic acid = 0.626 m
Step 1: Calculate the number of moles of formic acid.
Molarity (M) is defined as moles of solute per liter of solvent. Since we have the volume of the solute, we can use the molarity to find the number of moles.
Number of moles = Molarity * Volume
Number of moles of formic acid = 0.626 mol/L * 0.1717 L
Step 2: Calculate the mass of formic acid.
To calculate the mass of formic acid, we need to know its molar mass. The molar mass of formic acid is 46.03 g/mol.
Mass of formic acid = Number of moles * Molar mass of formic acid
Step 3: Calculate the mass of the solvent (H2O).
Since the mass of the solvent is the only remaining unknown, we can use the mass of formic acid and stoichiometry to find it.
Mass of solvent = Total mass of solution - Mass of formic acid
Total mass of solution = Mass of formic acid + Mass of solvent
Mass of solvent = Total mass of solution - Mass of formic acid
To calculate the total mass of the solution, we need to know the density of the solution. Let's assume that the density of the solution is the same as the density of water, which is 1 g/mL or 1000 kg/m^3.
Total mass of solution = Volume of solution * Density of solution
Volume of solution = Volume of solute + Volume of solvent
Step 4: Calculate the volume of the solvent.
Volume of solvent = Volume of solution - Volume of solute
Now, let's put it all together.
Mass of formic acid:
Number of moles of formic acid = 0.626 mol/L * 0.1717 L
Mass of formic acid = Number of moles of formic acid * Molar mass of formic acid
Total mass of solution:
Volume of solution = Volume of solute + Volume of solvent
Volume of solvent:
Volume of solvent = Volume of solution - Volume of solute
Mass of solvent:
Total mass of solution = Volume of solution * Density of solution
Mass of solvent = Total mass of solution - Mass of formic acid
By following these steps, you can calculate the mass of the solvent H2O needed to make a solution that is 0.626 m formic acid.