<u>Answer:</u> The mass of nickel (II) oxide and aluminium that must be used is 18.8 g and 4.54 g respectively.
<u>Explanation:</u>
To calculate the number of moles, we use the equation:
.....(1)
Given mass of nickel = 14.8 g
Molar mass of nickel = 58.7 g/mol
Putting values in equation 1, we get:
![\text{Moles of nickel}=\frac{14.8g}{58.7g/mol}=0.252mol](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20nickel%7D%3D%5Cfrac%7B14.8g%7D%7B58.7g%2Fmol%7D%3D0.252mol)
For the given chemical reaction:
![3NiO(s)+2Al(s)\rightarrow 3Ni(l)+Al_2O_3(s)](https://tex.z-dn.net/?f=3NiO%28s%29%2B2Al%28s%29%5Crightarrow%203Ni%28l%29%2BAl_2O_3%28s%29)
- <u>For nickel (II) oxide:</u>
By Stoichiometry of the reaction:
3 moles of nickel are produced from 3 moles of nickel (II) oxide
So, 0.252 moles of nickel will be produced from
of nickel (II) oxide
Now, calculating the mass of nickel (II) oxide by using equation 1:
Molar mass of nickel (II) oxide = 74.7 g/mol
Moles of nickel (II) oxide = 0.252 moles
Putting values in equation 1, we get:
![0.252mol=\frac{\text{Mass of nickel (II) oxide}}{74.7g/mol}\\\\\text{Mass of nickel (II) oxide}=(0.252mol\times 74.7g/mol)=18.8g](https://tex.z-dn.net/?f=0.252mol%3D%5Cfrac%7B%5Ctext%7BMass%20of%20nickel%20%28II%29%20oxide%7D%7D%7B74.7g%2Fmol%7D%5C%5C%5C%5C%5Ctext%7BMass%20of%20nickel%20%28II%29%20oxide%7D%3D%280.252mol%5Ctimes%2074.7g%2Fmol%29%3D18.8g)
By Stoichiometry of the reaction:
3 moles of nickel are produced from 2 moles of aluminium
So, 0.252 moles of nickel will be produced from
of aluminium
Now, calculating the mass of aluminium by using equation 1:
Molar mass of aluminium = 27 g/mol
Moles of aluminium = 0.168 moles
Putting values in equation 1, we get:
![0.168mol=\frac{\text{Mass of aluminium}}{27g/mol}\\\\\text{Mass of aluminium}=(0.168mol\times 27g/mol)=4.54g](https://tex.z-dn.net/?f=0.168mol%3D%5Cfrac%7B%5Ctext%7BMass%20of%20aluminium%7D%7D%7B27g%2Fmol%7D%5C%5C%5C%5C%5Ctext%7BMass%20of%20aluminium%7D%3D%280.168mol%5Ctimes%2027g%2Fmol%29%3D4.54g)
Hence, the mass of nickel (II) oxide and aluminium that must be used is 18.8 g and 4.54 g respectively.