Calculate the mass, in kg, of each sample.9.62×1026 cadmium atoms.

-5.72×1027 nickel atoms.
-9.14×1027 manganese atoms.
-9.02×1029 lithium atoms.

divide each by avag number to get moles.

then, find molemass of each from periodic table, and multiply.

can you do one example , i am very confused

To calculate the mass of each sample, you need to know the atomic mass of the element and convert the number of atoms to moles. Then, multiply the moles by the molar mass to get the mass in grams. Finally, convert the mass from grams to kilograms by dividing by 1000.

Here are the steps to calculate the mass for each sample:

1. Cadmium (Cd):
- Find the atomic mass of cadmium from the periodic table. The atomic mass of cadmium is 112.41 g/mol.
- Convert the number of atoms to moles:
9.62 × 10^26 atoms × (1 mol/Avogadro's number) ≈ 1.60 × 10^-2 mol
- Calculate the mass in grams:
1.60 × 10^-2 mol × 112.41 g/mol ≈ 1.80 g
- Convert the mass to kilograms:
1.80 g ÷ 1000 = 1.80 × 10^-3 kg

2. Nickel (Ni):
- Find the atomic mass of nickel from the periodic table. The atomic mass of nickel is 58.69 g/mol.
- Convert the number of atoms to moles:
5.72 × 10^27 atoms × (1 mol/Avogadro's number) ≈ 9.60 × 10^-1 mol
- Calculate the mass in grams:
9.60 × 10^-1 mol × 58.69 g/mol ≈ 5.64 × 10^1 g
- Convert the mass to kilograms:
5.64 × 10^1 g ÷ 1000 = 5.64 × 10^-2 kg

3. Manganese (Mn):
- Find the atomic mass of manganese from the periodic table. The atomic mass of manganese is 54.94 g/mol.
- Convert the number of atoms to moles:
9.14 × 10^27 atoms × (1 mol/Avogadro's number) ≈ 1.52 × 10^0 mol
- Calculate the mass in grams:
1.52 × 10^0 mol × 54.94 g/mol ≈ 8.36 × 10^1 g
- Convert the mass to kilograms:
8.36 × 10^1 g ÷ 1000 = 8.36 × 10^-2 kg

4. Lithium (Li):
- Find the atomic mass of lithium from the periodic table. The atomic mass of lithium is 6.94 g/mol.
- Convert the number of atoms to moles:
9.02 × 10^29 atoms × (1 mol/Avogadro's number) ≈ 1.50 × 10^2 mol
- Calculate the mass in grams:
1.50 × 10^2 mol × 6.94 g/mol ≈ 1.04 × 10^3 g
- Convert the mass to kilograms:
1.04 × 10^3 g ÷ 1000 = 1.04 kg

Therefore, the mass of each sample is approximately:
- Cadmium: 1.80 × 10^-3 kg
- Nickel: 5.64 × 10^-2 kg
- Manganese: 8.36 × 10^-2 kg
- Lithium: 1.04 kg

To calculate the mass of each sample, we need to convert the given number of atoms to moles, and then use the molar mass to convert moles to grams, and finally, grams to kilograms.

First, we need to calculate the number of moles using Avogadro's number (6.022 × 10^23 atoms per mole).

For the cadmium sample:

Number of moles = (9.62 × 10^26 atoms) / (6.022 × 10^23 atoms/mol)

Next, we need to determine the molar mass of cadmium, which is 112.41 g/mol.

Mass of cadmium sample = Number of moles × Molar mass
= Number of moles × 112.41 g/mol

To convert the mass from grams to kilograms, we divide by 1000:

Mass of cadmium sample in kg = (Number of moles × 112.41 g/mol) / 1000

Perform similar calculations for the remaining samples using the molar masses of nickel (58.69 g/mol), manganese (54.94 g/mol), and lithium (6.94 g/mol).

For the nickel sample, use the given number of atoms (5.72 × 10^27) and the molar mass of nickel (58.69 g/mol) to calculate the mass in kg.

For the manganese sample, use the given number of atoms (9.14 × 10^27) and the molar mass of manganese (54.94 g/mol) to calculate the mass in kg.

For the lithium sample, use the given number of atoms (9.02 × 10^29) and the molar mass of lithium (6.94 g/mol) to calculate the mass in kg.

Performing these calculations will give you the mass, in kilograms, of each of the samples.