<u>Answer:</u> The theoretical yield and percent yield of
is 3.93 g and 30.53 % respectively
<u>Explanation:</u>
To calculate the number of moles, we use the equation:
.....(1)
Given mass of
= 4.00 g
Molar mass of
= 238 g/mol
Putting values in equation 1, we get:
![\text{Moles of }CoCl_2.6H_2O=\frac{4.00g}{238g/mol}=0.0168mol](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20%7DCoCl_2.6H_2O%3D%5Cfrac%7B4.00g%7D%7B238g%2Fmol%7D%3D0.0168mol)
The chemical equation for the reaction of
to form
follows:
![CoCl_2.6H_2O+4NH_3\rightarrow [Co(NH_3)_4(H_2O)_2]Cl_2+4H_2O](https://tex.z-dn.net/?f=CoCl_2.6H_2O%2B4NH_3%5Crightarrow%20%5BCo%28NH_3%29_4%28H_2O%29_2%5DCl_2%2B4H_2O)
By Stoichiometry of the reaction:
1 mole of
produces 1 mole of ![[Co(NH_3)_4(H_2O)_2]Cl_2](https://tex.z-dn.net/?f=%5BCo%28NH_3%29_4%28H_2O%29_2%5DCl_2)
So, 0.0168 moles of
will produce =
of ![[Co(NH_3)_4(H_2O)_2]Cl_2](https://tex.z-dn.net/?f=%5BCo%28NH_3%29_4%28H_2O%29_2%5DCl_2)
Now, calculating the mass of
from equation 1, we get:
Molar mass of
= 234 g/mol
Moles of
= 0.0168 moles
Putting values in equation 1, we get:
![0.0168mol=\frac{\text{Mass of }[Co(NH_3)_4(H_2O)_2]Cl_2}{234g/mol}\\\\\text{Mass of }[Co(NH_3)_4(H_2O)_2]Cl_2=(0.0168mol\times 234g/mol)=3.93g](https://tex.z-dn.net/?f=0.0168mol%3D%5Cfrac%7B%5Ctext%7BMass%20of%20%7D%5BCo%28NH_3%29_4%28H_2O%29_2%5DCl_2%7D%7B234g%2Fmol%7D%5C%5C%5C%5C%5Ctext%7BMass%20of%20%7D%5BCo%28NH_3%29_4%28H_2O%29_2%5DCl_2%3D%280.0168mol%5Ctimes%20234g%2Fmol%29%3D3.93g)
To calculate the percentage yield of
, we use the equation:
![\%\text{ yield}=\frac{\text{Experimental yield}}{\text{Theoretical yield}}\times 100](https://tex.z-dn.net/?f=%5C%25%5Ctext%7B%20yield%7D%3D%5Cfrac%7B%5Ctext%7BExperimental%20yield%7D%7D%7B%5Ctext%7BTheoretical%20yield%7D%7D%5Ctimes%20100)
Experimental yield of
= 1.20 g
Theoretical yield of
= 3.93 g
Putting values in above equation, we get:
![\%\text{ yield of }[Co(NH_3)_4(H_2O)_2]Cl_2=\frac{1.20g}{3.93g}\times 100\\\\\% \text{yield of }[Co(NH_3)_4(H_2O)_2]Cl_2=30.53\%](https://tex.z-dn.net/?f=%5C%25%5Ctext%7B%20yield%20of%20%7D%5BCo%28NH_3%29_4%28H_2O%29_2%5DCl_2%3D%5Cfrac%7B1.20g%7D%7B3.93g%7D%5Ctimes%20100%5C%5C%5C%5C%5C%25%20%5Ctext%7Byield%20of%20%7D%5BCo%28NH_3%29_4%28H_2O%29_2%5DCl_2%3D30.53%5C%25)
Hence, the theoretical yield and percent yield of
is 3.93 g and 30.53 % respectively