Respuesta :
Answer:
Aluminium atoms = 4.13 *10^22 aluminium atoms
The correct answer is E
Explanation:
Step 1: Data given
Mass of Al2O3 = 3.50 grams
Molar mass of Al2O3 = 101.96 g/mol
Number of Avogadro = 6.022 * 10^23 /mol
Step 2: Calculate moles Al2O3
Moles Al2O3 = mass Al2O3 / molar mass Al2O3
Moles Al2O3 = 3.50 grams / 101.96 g/mol
Moles Al2O3 = 0.0343 moles
Step 3: Calculate moles Aluminium
In 1 mol Al2O3 we have 2 moles Al
in 0.0343 moles Al2O3 we have 2*0.0343 = 0.0686 moles Al
Step 4: Calculate aluminium atoms
Aluminium atoms = moles aluminium * Number of Avogadro
Aluminium atoms = 0.0686 * 6.022 * 10^23
Aluminium atoms = 4.13 *10^22 aluminium atoms
The correct answer is E
The number of atoms of aluminum in 3.5 grams of the given compound is [tex]4.13 \times 10^{22} \ atoms[/tex].
The given parameters;
- mass of the aluminum oxide, [tex]Al_2O_3[/tex] = 3.5 g
The molecular mass of the given aluminum oxide is calculated as follows;
[tex]Al_2O_3[/tex] = (27 x 2) + (16 x 3) = 102 g/mol
The number of moles of the given mass of the aluminum oxide is calculated as follows;
[tex]no. \ moles = \frac{Reacting \ mass}{Molar \ mass} \\\\no. \ moles = \frac{3.5}{102} = 0.0343 \ mole[/tex]
In 1 mole of [tex]Al_2O_3[/tex] -------------- 2 (6.02 x 10²³ atoms of Al)
0.0343 mole of [tex]Al_2O_3[/tex] ---------- ?
[tex]= 0.0343 \times 2 \times 6.022 \times 10^{23} \\\\= 4.13 \times 10^{22} \ atoms[/tex]
Thus, the number of atoms of aluminum in 3.5 grams of the given compound is [tex]4.13 \times 10^{22} \ atoms[/tex]
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