<u>Answer:</u> 185.66 grams of Lithium chloride must decompose.
<u>Explanation:</u>
To calculate the moles, we use the following equation:
![\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20moles%7D%3D%5Cfrac%7B%5Ctext%7BGiven%20mass%7D%7D%7B%5Ctext%7BMolar%20mass%7D%7D)
Moles of Lithium:
Given mass of lithium = 30.3 grams
Molar mass of lithium = 6.91 g/mol
Putting values in above equation, we get:
![\text{Number of moles}=\frac{30.3g}{6.91g/mol}=4.38moles](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20moles%7D%3D%5Cfrac%7B30.3g%7D%7B6.91g%2Fmol%7D%3D4.38moles)
For the given chemical reaction, the equation follows:
![2LiCl\rightarrow 2Li+Cl_2](https://tex.z-dn.net/?f=2LiCl%5Crightarrow%202Li%2BCl_2)
By Stoichiometry of the reaction:
2 moles of lithium metal are produced by 2 moles of lithium chloride
So, 4.38 moles of lithium metal are produced by =
of lithium chloride.
Now, to calculate the mass of lithium chloride, we use the moles equation:
Molar mass of lithium chloride = 42.39 g/mol
Putting values in above equation, we get:
![4.38mol=\frac{\text{Given mass}}{42.39g/mol}](https://tex.z-dn.net/?f=4.38mol%3D%5Cfrac%7B%5Ctext%7BGiven%20mass%7D%7D%7B42.39g%2Fmol%7D)
Mass of lithium chloride = 185.66 grams
Hence, Mass of lithium chloride decomposed is 185.66 grams.