Answer : The mass of calcium phosphate and the mass of sodium chloride that formed could be, 9.3 and 10.5 grams respectively.
Explanation : Given,
Mass of
= 12.00 g
Mass of
= 10.0 g
Molar mass of
= 164 g/mol
Molar mass of
= 111 g/mol
Molar mass of
= 58.5 g/mol
Molar mass of
= 310 g/mol
First we have to calculate the moles of
and
.
![\text{Moles of }Na_3PO_4=\frac{\text{Given mass }Na_3PO_4}{\text{Molar mass }Na_3PO_4}](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20%7DNa_3PO_4%3D%5Cfrac%7B%5Ctext%7BGiven%20mass%20%7DNa_3PO_4%7D%7B%5Ctext%7BMolar%20mass%20%7DNa_3PO_4%7D)
![\text{Moles of }Na_3PO_4=\frac{12.00g}{164g/mol}=0.0732mol](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20%7DNa_3PO_4%3D%5Cfrac%7B12.00g%7D%7B164g%2Fmol%7D%3D0.0732mol)
and,
![\text{Moles of }CaCl_2=\frac{\text{Given mass }CaCl_2}{\text{Molar mass }CaCl_2}](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20%7DCaCl_2%3D%5Cfrac%7B%5Ctext%7BGiven%20mass%20%7DCaCl_2%7D%7B%5Ctext%7BMolar%20mass%20%7DCaCl_2%7D)
![\text{Moles of }CaCl_2=\frac{10.0g}{111g/mol}=0.0901mol](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20%7DCaCl_2%3D%5Cfrac%7B10.0g%7D%7B111g%2Fmol%7D%3D0.0901mol)
Now we have to calculate the limiting and excess reagent.
The balanced chemical reaction is:
![2Na_3PO_4+3CaCl_2\rightarrow 6NaCl+Ca_3(PO_4)_2](https://tex.z-dn.net/?f=2Na_3PO_4%2B3CaCl_2%5Crightarrow%206NaCl%2BCa_3%28PO_4%29_2)
From the balanced reaction we conclude that
As, 3 mole of
react with 2 mole of ![Na_3PO_4](https://tex.z-dn.net/?f=Na_3PO_4)
So, 0.0901 moles of
react with
moles of ![Na_3PO_4](https://tex.z-dn.net/?f=Na_3PO_4)
From this we conclude that,
is an excess reagent because the given moles are greater than the required moles and
is a limiting reagent and it limits the formation of product.
Now we have to calculate the moles of
and ![Ca_3(PO_4)_2](https://tex.z-dn.net/?f=Ca_3%28PO_4%29_2)
From the reaction, we conclude that
As, 3 mole of
react to give 6 mole of ![NaCl](https://tex.z-dn.net/?f=NaCl)
So, 0.0901 mole of
react to give
mole of ![NaCl](https://tex.z-dn.net/?f=NaCl)
and,
As, 3 mole of
react to give 1 mole of ![Ca_3(PO_4)_2](https://tex.z-dn.net/?f=Ca_3%28PO_4%29_2)
So, 0.0901 mole of
react to give
mole of ![Ca_3(PO_4)_2](https://tex.z-dn.net/?f=Ca_3%28PO_4%29_2)
Now we have to calculate the mass of
and ![Ca_3(PO_4)_2](https://tex.z-dn.net/?f=Ca_3%28PO_4%29_2)
![\text{ Mass of }NaCl=\text{ Moles of }NaCl\times \text{ Molar mass of }NaCl](https://tex.z-dn.net/?f=%5Ctext%7B%20Mass%20of%20%7DNaCl%3D%5Ctext%7B%20Moles%20of%20%7DNaCl%5Ctimes%20%5Ctext%7B%20Molar%20mass%20of%20%7DNaCl)
![\text{ Mass of }NaCl=(0.1802moles)\times (58.5g/mole)=10.5g](https://tex.z-dn.net/?f=%5Ctext%7B%20Mass%20of%20%7DNaCl%3D%280.1802moles%29%5Ctimes%20%2858.5g%2Fmole%29%3D10.5g)
and,
![\text{ Mass of }Ca_3(PO_4)_2=\text{ Moles of }Ca_3(PO_4)_2\times \text{ Molar mass of }Ca_3(PO_4)_2](https://tex.z-dn.net/?f=%5Ctext%7B%20Mass%20of%20%7DCa_3%28PO_4%29_2%3D%5Ctext%7B%20Moles%20of%20%7DCa_3%28PO_4%29_2%5Ctimes%20%5Ctext%7B%20Molar%20mass%20of%20%7DCa_3%28PO_4%29_2)
![\text{ Mass of }Ca_3(PO_4)_2=(0.030moles)\times (310g/mole)=9.3g](https://tex.z-dn.net/?f=%5Ctext%7B%20Mass%20of%20%7DCa_3%28PO_4%29_2%3D%280.030moles%29%5Ctimes%20%28310g%2Fmole%29%3D9.3g)
Therefore, the mass of calcium phosphate and the mass of sodium chloride that formed could be, 9.3 and 10.5 grams respectively.