G) The mass of a beaker is 40.94 g. After 5.00 mL of concentrated hydrochloric acid solution is pipetted into the beaker, the combined mass of the beaker and hydrochloric acid is 46.92 g. From the data, calculate the density of hydrochloric acid solution. Show your solution.
46.92 g = mass beaker + HCl
-40.94 g = mass beaker
------------------
....5.98 = mass HCl
density = mass/volume = ?
You know the mass and from the problem you know the volume. Solve for density.
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To calculate the density of hydrochloric acid solution, we need to determine the mass and volume of the solution.
The mass of the solution can be calculated by subtracting the mass of the empty beaker from the mass of the beaker and hydrochloric acid.
Mass of the solution = Mass of beaker + hydrochloric acid - Mass of beaker
Mass of the solution = 46.92 g - 40.94 g
Mass of the solution = 5.98 g
The volume of the solution is given as 5.00 mL.
Now we can use the formula for density:
Density = mass/volume
Density = 5.98 g / 5.00 mL
However, to convert mL to grams, we need to know the density of the hydrochloric acid solution. Since it is not given, we cannot determine the density of the solution with the given information.
To calculate the density of the hydrochloric acid solution, we need to use the formula:
Density = Mass / Volume
In this case, the mass of the hydrochloric acid solution is the difference between the combined mass of the beaker and hydrochloric acid and the mass of the beaker alone.
Mass of hydrochloric acid solution = Combined mass - Mass of beaker
Mass of hydrochloric acid solution = 46.92 g - 40.94 g
Mass of hydrochloric acid solution = 5.98 g
The volume of the hydrochloric acid solution is given as 5.00 mL. However, to use the formula, we need to convert the volume to liters, since the density is typically measured in grams per milliliter (g/mL) or grams per liter (g/L).
Volume of hydrochloric acid solution = 5.00 mL = 5.00 x 10^-3 L
Now we can calculate the density:
Density = Mass / Volume
Density = 5.98 g / 5.00 x 10^-3 L
Calculating the density:
Density = 1196 g/L
Therefore, the density of the hydrochloric acid solution is 1196 g/L.