A sample of dolomitic limestone, with a mass of 0.8020 g, is reacted with a hydrochloric acid. The mass of carbon dioxide released is 0.3725g. Assuming the sample has a 1:1 mole ratio of MgCO3 to CaCO3, determine the mass of MgCO3 and mass of CaCO3 in the sample.
Well, well, well, it looks like we have some limestone chemistry going on here. Time to crunch some numbers with a smile on my clowny face!
First, let's find the moles of CO2 released. The molar mass of CO2 is approximately 44.01 g/mol. So, the number of moles of CO2 released can be calculated as:
moles of CO2 = mass of CO2 / molar mass of CO2
= 0.3725 g / 44.01 g/mol
Let's whip out our calculator... drum roll please... and the answer is approximately 0.00845 moles of CO2.
Now, since we have a 1:1 mole ratio of MgCO3 to CaCO3, we know that the moles of MgCO3 is the same as the moles of CO2. So, the moles of MgCO3 is also 0.00845 moles.
The molar mass of MgCO3 is approximately 84.31 g/mol. So, the mass of MgCO3 in the sample can be found using:
mass of MgCO3 = moles of MgCO3 * molar mass of MgCO3
= 0.00845 moles * 84.31 g/mol
Another drum roll, please... and the answer is approximately 0.7119 g of MgCO3.
Finally, we can find the mass of CaCO3 by using the mass of the entire sample:
mass of CaCO3 = mass of sample - mass of MgCO3
= 0.8020 g - 0.7119 g
Are you ready for the grand finale? Here it comes... the mass of CaCO3 is approximately 0.0901 g.
And there you have it, my friend! The mass of MgCO3 is approximately 0.7119 g and the mass of CaCO3 is approximately 0.0901 g. Hope you enjoyed this scientific circus act!
To determine the mass of MgCO3 and CaCO3 in the sample, we need to calculate the moles of CO2 released first.
Step 1: Convert the mass of CO2 to moles.
The molar mass of CO2 is 44.01 g/mol.
So, moles of CO2 = mass of CO2 / molar mass of CO2
= 0.3725 g / 44.01 g/mol
Step 2: Determine the moles of MgCO3 and CaCO3.
Since the sample has a 1:1 mole ratio of MgCO3 to CaCO3, the moles of MgCO3 and CaCO3 should be equal.
Step 3: Calculate the moles of MgCO3 and CaCO3.
Moles of MgCO3 = Moles of CaCO3 = 0.3725 g / 44.01 g/mol
Step 4: Calculate the mass of MgCO3 and CaCO3.
Mass of MgCO3 = Moles of MgCO3 × molar mass of MgCO3
Mass of CaCO3 = Moles of CaCO3 × molar mass of CaCO3
The molar mass of MgCO3 is the sum of the atomic masses of Mg, C, and 3O, which is approximately 84.32 g/mol.
The molar mass of CaCO3 is the sum of the atomic masses of Ca, C, and 3O, which is approximately 100.09 g/mol.
Now, substituting the values in Step 4, we get:
Mass of MgCO3 = (0.3725 g / 44.01 g/mol) × 84.32 g/mol
Mass of CaCO3 = (0.3725 g / 44.01 g/mol) × 100.09 g/mol
Calculating these values will give you the mass of MgCO3 and mass of CaCO3 in the sample.
To determine the mass of MgCO3 and CaCO3 in the sample, we need to use the given information about the mass of carbon dioxide released during the reaction.
1. Determine the molar mass of CO2:
The molar mass of CO2 is calculated as follows:
Molar mass of C = 12.01 g/mol
Molar mass of O = 16.00 g/mol
Molar mass of CO2 = 12.01 g/mol + (16.00 g/mol × 2) = 44.01 g/mol
2. Calculate the number of moles of CO2:
Using the molar mass of CO2 and the given mass of CO2, we can calculate the number of moles of CO2:
Number of moles of CO2 = mass of CO2 (g) / molar mass of CO2 (g/mol)
Number of moles of CO2 = 0.3725 g / 44.01 g/mol ≈ 0.00846 mol
3. Determine the number of moles of MgCO3 and CaCO3 based on the assumption of a 1:1 mole ratio:
Since the mole ratio of MgCO3 to CaCO3 is assumed to be 1:1, both compounds will have the same number of moles.
Number of moles of MgCO3 = Number of moles of CaCO3 ≈ 0.00846 mol
4. Calculate the mass of MgCO3 and CaCO3:
To determine the mass of each compound, we need to multiply the respective number of moles by their respective molar masses.
Molar mass of MgCO3 = (Molar mass of Mg) + (Molar mass of C) + (3 × Molar mass of O)
Molar mass of CaCO3 = (Molar mass of Ca) + (Molar mass of C) + (3 × Molar mass of O)
5. Perform the calculations:
Mass of MgCO3 = Number of moles of MgCO3 × Molar mass of MgCO3
Mass of CaCO3 = Number of moles of CaCO3 × Molar mass of CaCO3
Note: The molar masses of Mg, C, Ca, and O can be found on the periodic table.
By following these steps and using the given information, you can determine the mass of MgCO3 and mass of CaCO3 in the sample.