4.214 × 1024 molecules of KCO2 has what mass?
The mass of 1 molecule of KCO2 is found by adding the atomic masses of potassium (K), carbon (C), and 2 oxygen atoms (O), multiplied by the stoichiometric coefficients of each element in the formula:
Mass of KCO2 = (1 x atomic mass of K) + (1 x atomic mass of C) + (2 x atomic mass of O)
Mass of KCO2 = (1 x 39.10 g/mol) + (1 x 12.01 g/mol) + (2 x 16.00 g/mol)
Mass of KCO2 = 98.11 g/mol
So, the mass of 4.214 x 10^24 molecules of KCO2 can be calculated as:
Mass = number of molecules x mass of 1 molecule
Mass = (4.214 x 10^24) x (98.11 g/mol)
Mass = 4.13 x 10^26 g
Therefore, 4.214 × 10^24 molecules of KCO2 have a mass of 4.13 x 10^26 g.
To find the mass of 4.214 × 10^24 molecules of KCO2, you need to use the concept of molar mass and Avogadro's number.
Step 1: Find the molar mass of KCO2 (potassium carbonate).
The molar mass is calculated by adding up the atomic masses of all the atoms in the compound.
The atomic mass of potassium (K) is 39.10 grams per mole (g/mol).
The atomic mass of carbon (C) is 12.01 g/mol.
The atomic mass of oxygen (O) is 16.00 g/mol.
To find the molar mass of KCO2, multiply the atomic mass of each element by the number of atoms present in KCO2 and add them together:
(1 * 39.10 g/mol) + (1 * 12.01 g/mol) + (2 * 16.00 g/mol) = 98.09 g/mol
So, the molar mass of KCO2 is 98.09 g/mol.
Step 2: Calculate the mass using the molar mass and Avogadro's number.
Avogadro's number (6.022 × 10^23) represents the number of particles (atoms or molecules) in one mole of a substance.
To calculate the mass, you can use the following formula:
mass = (number of molecules / Avogadro's number) * molar mass
mass = (4.214 × 10^24 / 6.022 × 10^23) * 98.09 g/mol
Simplifying the expression:
mass = (7) * 98.09 g/mol
mass = 686.63 g
The mass of 4.214 × 10^24 molecules of KCO2 is approximately 686.63 grams.
To calculate the mass of 4.214 × 10^24 molecules of KCO2, we need to know the molar mass of KCO2.
The molar mass of potassium carbonate (KCO2) is calculated as follows:
Atomic mass of potassium (K) = 39.1 g/mol
Atomic mass of carbon (C) = 12.01 g/mol
Atomic mass of oxygen (O) = 16.00 g/mol (We have 2 oxygen atoms in KCO2, so, we multiply its atomic mass by 2)
Molar mass of KCO2 = (39.1 g/mol) + (12.01 g/mol) + (16.00 g/mol * 2)
= 39.1 g/mol + 12.01 g/mol + 32.00 g/mol
= 83.12 g/mol
Now, to calculate the mass of 4.214 × 10^24 molecules of KCO2, we will use the formula:
Mass (g) = number of molecules × molar mass
Mass (g) = 4.214 × 10^24 molecules × 83.12 g/mol
Now, let's calculate it:
Mass (g) = 349.70 × 10^24 g
Mass (g) = 3.497 × 10^26 g
Thus, 4.214 × 10^24 molecules of KCO2 have a mass of 3.497 × 10^26 grams.