Question

Determine the number of moles of aluminum in 2.154 x 10-1 kg of Al. Group of answer choices 5816 mol 7.984 mol 6.02 X 1023 mol 4.801 mol 8.783

Answer 1

The number of moles of aluminum in 2.154 x 10^-1 kg of Al is 7.984 moles, calculated by converting the mass from kilograms to grams and dividing by the molar mass of aluminum.

Step-by-step explanation:

Determining the Number of Moles of Aluminum

To determine the number of moles of aluminum in 2.154 x 10-1 kg of Al, we need to use the molar mass of aluminum. The molar mass of aluminum (Al) is 26.98 g/mol. First, we convert the mass from kilograms to grams:

2.154 x 10-1 kg Al * 1000 g/kg = 215.4 g Al

Next, we use the conversion factor to find the moles of Al:

Number of moles of Al = mass of Al (g) / molar mass of Al (g/mol)

Number of moles of Al = 215.4 g Al / 26.98 g/mol Al

Number of moles of Al = 7.984 moles of Al (rounded to three decimal places)

Therefore, there are 7.984 moles of aluminum in 2.154 x 10-1 kg of aluminum.

Answer 2

Avogadro's number is 1 mol = 6.02 * 10^23 elements

It means that 1 mol of atoms is 6.02 * 10^23 atoms

1 mol of atoms = 6.02 * 10^23 atoms

From there, if you divide both sides by 1 mol of atoms, you get

1 = 6.02 * 10^23 atoms / 1 mol of atoms.

That means, that to pass from a number of moles of atoms to number of atoms you have to multipby by the conversion factor

6.02*10^23 atoms Al/ 1 mol Al

That is the second option of the list.

Step-by-step explanation: