Photo AI
Question 3
Some rocks were thought to consist of insoluble silica (SiO2) and calcium carbonate (CaCO3; molar mass 100.1 g mol-1). The fraction of CaCO3 in an 8.64 g sample of t... show full transcript
Step 1
Answer
To find the expected percentage of CaCO3 in the original rock sample, we first need to calculate the mass of CaCO3 that reacted with the hydrochloric acid.
Calculate the mass of CaCO3:
Mass of CaCO3 = Total mass of rock sample - Mass of SiO2 = 8.64 g - 1.55 g = 7.09 g
Calculate the percentage of CaCO3:
[% \text{ of CaCO3} = \left( \frac{7.09}{8.64} \right) \times 100 \approx 82.1%]
Step 2
Answer
Using the mass of CaO obtained after heating:
Calculate the number of moles of CaO:
[n(CaO) = \frac{3.87 \text{ g}}{56.1 \text{ g mol}^{-1}} \approx 0.0690 \text{ mol}]
Knowing that each mole of CaO corresponds to one mole of CaCO3, we can find the moles of CaCO3: [n(CaCO3) = 0.0690 \text{ mol}]
Calculate the mass of CaCO3:
[m(CaCO3) = n(CaCO3) \times 100.1 \text{ g mol}^{-1} = 0.0690 \times 100.1 \approx 6.91 \text{ g}]
Finally, we can calculate the percentage of CaCO3 in the original rock sample:
[% \text{ of CaCO3} = \left( \frac{6.91}{8.64} \right) \times 100 \approx 79.9%]
Step 3
Answer
One possible explanation for the difference in percentages calculated in parts a. and b. is that the ammonium oxalate method may not have precipitated all the calcium ions present in the original sample. Some calcium may have remained in solution or been lost during the filtration process, leading to a lower measured amount of CaCO3 compared to the expected value derived from the direct calculation.
Report Improved Results
Recommend to friends
Students Supported
Questions answered