The mass of a beaker is 5.333g. After 5.00 mL of a concentrated hydrochloric acid solution is pipetted into the beaker, the combined mass of the beaker and the hydrochloric acid sample is 11.229 g. From the data, what is the measured density of the hydrochloric solution?

these are my steps:

11.229g-5.333g= 5.896g

density HCl= Mass HCl/ Volume HCl

1.792= 5.896g/5

where am i going wrong?

Your steps are correct up until the calculation for the density of HCl. To find the density of a substance, you need to divide the mass of the substance by its volume (Density = Mass / Volume).

However, in your calculation, you divided the mass of HCl (5.896g) by the volume of HCl you inputted (5 mL) instead of the actual volume of HCl in the beaker (5 mL + initial volume of the beaker).

To calculate the volume of HCl in the beaker, you need to subtract the initial volume of the beaker from the final volume after adding the hydrochloric acid (5 mL). The initial volume of the beaker is generally given in the problem or assumed to be zero. Let's assume it's zero in this case.

So, the volume of HCl in the beaker is 5 mL.

Now we can calculate the density as follows:

Density HCl = Mass HCl / Volume HCl
= (11.229g - 5.333g) / 5 mL
= 5.896g / 5 mL
= 1.1792 g/mL

Therefore, the measured density of the hydrochloric acid solution is 1.1792 g/mL.

Either your calculator is giving you a false answer or you aren't reading it right. When I divide 5.896/5 I get 1.1792. You're missing another 1 between 1 and 7. You can always prove what the right answer is by long hand division. Note that your are working the problem correctly.