Answer:
1) 2Al + 6HCl ⟶ 2AlCl₃ + 3H₂
Fe + 2HCl ⟶ FeCl₂ + H₂
2) Cu = 2.5 g; Al = 3.5 g; Fe = 4.0 g
Explanation:
1) Possible reactions
2Al + 6HCl ⟶ 2AlCl₃ + 3H₂
Fe + 2HCl ⟶ FeCl₂ + H₂
2) Mass of each metal
a) Mass of Cu
The waste was the unreacted copper.
Mass of Cu = 2.5 g
b) Masses of Al and Fe
We have two relations
:
Mass of Al + mass of Fe = 10 g - 2.5 g = 7.5 g
H₂ from Al + H₂ from Fe = 6.38 L at NTP
i) Calculate the moles of H₂
NTP is 20 °C and 1 atm.
![\begin{array}{rcl}pV & = & n RT\\\text{1 atm} \times \text{6.38 L} & = & n \times 0.08206 \text{ L}\cdot\text{atm}\cdot\text{K}^{-1}\text{mol}^{-1} \times \text{293.15 K}\\6.38 & = & 24.06n \text{ mol}^{-1} \\n & = & \dfrac{6.38}{24.06 \text{ mol}^{-1} }\\\\ & = & \text{0.2652 mol}\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7DpV%20%26%20%3D%20%26%20n%20RT%5C%5C%5Ctext%7B1%20atm%7D%20%5Ctimes%20%5Ctext%7B6.38%20L%7D%20%26%20%3D%20%26%20n%20%5Ctimes%200.08206%20%5Ctext%7B%20L%7D%5Ccdot%5Ctext%7Batm%7D%5Ccdot%5Ctext%7BK%7D%5E%7B-1%7D%5Ctext%7Bmol%7D%5E%7B-1%7D%20%5Ctimes%20%5Ctext%7B293.15%20K%7D%5C%5C6.38%20%26%20%3D%20%26%2024.06n%20%5Ctext%7B%20mol%7D%5E%7B-1%7D%20%5C%5Cn%20%26%20%3D%20%26%20%5Cdfrac%7B6.38%7D%7B24.06%20%5Ctext%7B%20mol%7D%5E%7B-1%7D%20%7D%5C%5C%5C%5C%20%26%20%3D%20%26%20%5Ctext%7B0.2652%20mol%7D%5C%5C%5Cend%7Barray%7D)
(ii) Solve the relationship
Let x = mass of Al. Then
7.5 - x = mass of Fe
Moles of Al = x/27
Moles of Fe = (7.5 - x)/56
Moles of H₂ from Al = (3/2) × Moles of Al = (3/2) × (x/27) = x
/18
Moles of H₂ from Fe = (1/1) × Moles of Fe = (7.5 - x)/56
∴ x/18 + (7.5 - x)/56 = 0.2652
56x + 18(7.5 - x) = 267.3
56x + 135 - 18x = 267.3
38x = 132.3
x = 3.5 g
Mass of Al = 3.5 g
Mass of Fe = 7.5 g - 3.5 g = 4.0 g
The masses of the metals are Cu = 2.5 g; Al = 3.5 g; Fe = 4.0 g