<u>Answer:</u> The amount of
formed is 469.8 grams.
<u>Explanation:</u>
To calculate the number of moles, we use the equation:
......(1)
Given mass of phosphine = 225 g
Molar mass of phosphine = 34 g/mol
Putting values in equation 1, we get:
![\text{Moles of phosphine}=\frac{225g}{34g/mol}=6.62mol](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20phosphine%7D%3D%5Cfrac%7B225g%7D%7B34g%2Fmol%7D%3D6.62mol)
The given chemical reaction follows:
![4PH_3(g)+8O_2(g)\rightarrow P_4O_{10}(s)+6H_2O(g)](https://tex.z-dn.net/?f=4PH_3%28g%29%2B8O_2%28g%29%5Crightarrow%20P_4O_%7B10%7D%28s%29%2B6H_2O%28g%29)
Assuming that oxygen gas is present in excess, it is considered as an excess reagent.
Phosphine is considered as a limiting reagent because it limits the formation of product.
By Stoichiometry of the reaction:
4 moles of phosphine produces 1 mole of ![P_4O_{10}](https://tex.z-dn.net/?f=P_4O_%7B10%7D)
So, 6.62 moles of phosphine will produce =
of ![P_4O_{10}](https://tex.z-dn.net/?f=P_4O_%7B10%7D)
Now, calculating the mass of
by using equation 1:
Molar mass of
= 283.9 g/mol
Moles of
= 1.655 moles
Putting values in equation 1, we get:
![1.655mol=\frac{\text{Mass of }P_4O_{10}}{283.9g/mol}\\\\\text{Mass of }P_4O_{10}=(1.655mol\times 283.9g/mol)=469.8g](https://tex.z-dn.net/?f=1.655mol%3D%5Cfrac%7B%5Ctext%7BMass%20of%20%7DP_4O_%7B10%7D%7D%7B283.9g%2Fmol%7D%5C%5C%5C%5C%5Ctext%7BMass%20of%20%7DP_4O_%7B10%7D%3D%281.655mol%5Ctimes%20283.9g%2Fmol%29%3D469.8g)
Hence, the amount of
formed is 469.8 grams.