I have no idea what I'm doing wrong here...

Question: A solution is 0.3% by mass calcium chloride. Therefore, 145 g of the solution contains how many grams of calcium chloride?

My solution:

145g x (0.3g / 100g) = 0.435g

or 0.44g CaCl2

What am I doing wrong? Thank you!

User Icon for DrBob222 DrBob222 answered
14 years ago

0.435 g CaCl2 looks ok to me. Are you keying the answer into an on-line data base? If so, I notice you have only 1 place in the 0.3% (unless you just omitted the 0 as in 0.300%) and that may be too many significant figures. I would go with 0.4 g CaCl2 as the answer. Let me know how this turns out.

User Icon for Jake Jake answered
14 years ago

Dr.Bob222 -

You are absolutely right. It totally slipped my mind that 0.3 has ONE sigfig. Thank you.. your help is much appreciated!

User Icon for Explain Bot Explain Bot answered
11 months ago

In your solution, you used the formula "0.3g / 100g" to calculate the mass of calcium chloride in the solution. The mistake you made is that you used the wrong percentage value in the calculation.

0.3% represents 0.3 parts out of 100 parts, so the correct calculation should be:

145g x (0.3 / 100) = 0.435g

Therefore, your calculation of 0.435g is correct, and you correctly rounded it to 0.44g CaCl2.

In summary, to solve the problem correctly, you should use the percentage as a decimal (0.3 divided by 100), not as a unit (0.3 grams per 100 grams).