Answer :
(a) The moles of water produced are 145.35 moles.
(b) The mass of oxygen needed are 3080.8 grams.
<u>Solution for part (a) : Given,</u>
Moles of
= 16.15 moles
First we have to calculate the moles of ![H_2O](https://tex.z-dn.net/?f=H_2O)
The balanced chemical reaction is,
![2C_8H_{18}+25O_2\rightarrow 16CO_2+18H_2O](https://tex.z-dn.net/?f=2C_8H_%7B18%7D%2B25O_2%5Crightarrow%2016CO_2%2B18H_2O)
From the balanced reaction we conclude that
As, 2 moles of
react to give 18 moles of ![H_2O](https://tex.z-dn.net/?f=H_2O)
So, 16.15 moles of
react to give
moles of ![H_2O](https://tex.z-dn.net/?f=H_2O)
The moles of water produced are 145.35 moles.
<u>Solution for part (b) : Given,</u>
Mass of
= 878 g
Molar mass of
= 114 g/mole
Molar mass of
= 32 g/mole
First we have to calculate the moles of
.
Now we have to calculate the moles of ![O_2](https://tex.z-dn.net/?f=O_2)
The balanced chemical reaction is,
![2C_8H_{18}+25O_2\rightarrow 16CO_2+18H_2O](https://tex.z-dn.net/?f=2C_8H_%7B18%7D%2B25O_2%5Crightarrow%2016CO_2%2B18H_2O)
From the balanced reaction we conclude that
As, 2 moles of
react with 25 moles of ![O_2](https://tex.z-dn.net/?f=O_2)
So, 7.702 moles of
react with
moles of ![O_2](https://tex.z-dn.net/?f=O_2)
Now we have to calculate the mass of
.
![\text{ Mass of }O_2=\text{ Moles of }O_2\times \text{ Molar mass of }O_2](https://tex.z-dn.net/?f=%5Ctext%7B%20Mass%20of%20%7DO_2%3D%5Ctext%7B%20Moles%20of%20%7DO_2%5Ctimes%20%5Ctext%7B%20Molar%20mass%20of%20%7DO_2)
![\text{ Mass of }O_2=(96.275moles)\times (32g/mole)=3080.8g](https://tex.z-dn.net/?f=%5Ctext%7B%20Mass%20of%20%7DO_2%3D%2896.275moles%29%5Ctimes%20%2832g%2Fmole%29%3D3080.8g)
The mass of oxygen needed are 3080.8 grams.