Carborundum (SiC) is a hard substance made
by combining silicon dioxide with carbon (C)
as follows:
SiO2(s) + 3 C(s) −→ SiC(s) + 2 CO(g).
What mass of SiC is formed from the complete reaction of 1.19 mol of carbon?
Answer in units of g.
To find the mass of SiC formed from the complete reaction of 1.19 mol of carbon, we first need to determine the molar mass of SiC.
The molar mass of silicon (Si) is 28.0855 g/mol, the molar mass of carbon (C) is 12.0107 g/mol, and the molar mass of oxygen (O) is 15.9994 g/mol.
The balanced equation tells us that the ratio of carbon to SiC is 3:1. Therefore, for every 3 moles of carbon, we get 1 mole of SiC.
To find the mass of SiC formed from 1.19 mol of carbon, we can set up a proportion:
3 moles of carbon / 1 mole of SiC = 1.19 moles of carbon / x moles of SiC
Cross-multiplying, we get:
3 moles of carbon * x moles of SiC = 1.19 moles of carbon * 1 mole of SiC
x = (1.19 moles of carbon * 1 mole of SiC) / 3 moles of carbon
x = 0.3966667 moles of SiC
Now, we can find the mass of SiC by multiplying the moles of SiC by its molar mass:
Mass of SiC = 0.3966667 moles of SiC * 40.0978 g/mol (molar mass of SiC)
Mass of SiC = 15.9123 g
Therefore, the mass of SiC formed from the complete reaction of 1.19 mol of carbon is 15.9123 grams.