Silicon Carbide, SiC,is prepared using the chemical reaction:
SiO2 + 3C ---> SiC +2CO
How many grams of SiC can be produced from 15.0g of C?
Thanks!
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http://www.jiskha.com/science/chemistry/stoichiometry.html
Thanks for the link, difinitly helped me out!
To determine how many grams of SiC can be produced from 15.0g of C, we need to use stoichiometry.
The balanced chemical equation shows that 1 mole of SiC is formed from 3 moles of C.
First, we need to convert the mass of C to moles using its molar mass. The molar mass of carbon (C) is approximately 12.01 g/mol.
15.0 g C × (1 mol C / 12.01 g C) = 1.249 mol C
Next, we use the stoichiometric ratio from the balanced equation to find the moles of SiC that can be produced. From the equation, we know that 3 mol of C are needed to produce 1 mol of SiC.
1.249 mol C × (1 mol SiC / 3 mol C) = 0.416 mol SiC
Finally, we convert moles of SiC to grams using its molar mass. The molar mass of silicon carbide (SiC) is approximately 40.1 g/mol.
0.416 mol SiC × (40.1 g SiC / 1 mol SiC) = 16.68 g SiC
Therefore, 15.0 g of C can produce approximately 16.68 g of SiC.
To calculate the number of grams of SiC that can be produced from 15.0g of C, we first need to determine the molar mass of C and the molar mass of SiC:
The molar mass of carbon (C) is 12.01 g/mol.
The molar mass of silicon carbide (SiC) can be calculated by adding the molar masses of silicon (Si) and carbon (C). The molar mass of silicon is 28.09 g/mol, so:
Molar mass of SiC = molar mass of Si + molar mass of C
= 28.09 g/mol + 12.01 g/mol
= 40.10 g/mol
Next, we can set up a conversion factor using the balanced chemical equation:
From the equation, we know that the stoichiometric ratio between C and SiC is 3:1. This means that for every 3 moles of carbon, we produce 1 mole of SiC.
Using the molar mass of carbon (C) and the molar mass of SiC, we can now calculate the number of moles of carbon:
Number of moles of C = mass of C / molar mass of C
= 15.0 g / 12.01 g/mol
≈ 1.249 moles of C
Now, using the stoichiometric ratio, we can determine the number of moles of SiC produced:
Number of moles of SiC = (number of moles of C) / 3
= 1.249 moles / 3
≈ 0.416 moles
Finally, we can calculate the mass of SiC produced:
Mass of SiC = number of moles of SiC × molar mass of SiC
= 0.416 moles × 40.10 g/mol
≈ 16.72 g
Therefore, approximately 16.72 grams of SiC can be produced from 15.0 grams of C.