Respuesta :
Answer:
4.5 kilograms of silicon dioxide is required to produce 3.00 kg of SiC.
Explanation:
The balanced equation for the reaction between silicon dioxide and carbon at high temperature is given as:
[tex]SiO_2+3C\rightarrow SiC+2CO[/tex]
1 mole silicon dioxide reacts with 3 moles of carbon to give 1 moles of silicon carbide and 2 moles of carbon monoxide.
Mass of SiC = 3.00kg = 3000.00 g
1 kg = 1000 g
Molecular mass of SiC = 40 g/mol
Moles of SiC = [tex]\frac{3000.00 g}{40 g/mol}= 75 mol[/tex]
According to reaction, 1 mole of SiC is produced from 1 mole of silicon dioxide.
Then 75 moles of SiC will be produce from:
[tex]\frac{1}{1}\times 75 mol=75 mol[/tex] of silicon dioxide.
mass of 75 moles of silicon dioxde:
[tex]75 mol\times 60 g/mol=4500 g=4.5 kg[/tex]
4.5 kilograms of silicon dioxide is required to produce 3.00 kg of SiC.
4.5 kilograms of silicon dioxide is required to produce 3.00 kg of SiC.
Balanced Chemical equation:
[tex]SiO_2+3C--->SiC+2CO[/tex]
From the reaction,
1 mole silicon dioxide reacts with 3 moles of carbon to give 1 moles of silicon carbide and 2 moles of carbon monoxide.
Mass of SiC = 3.00kg = 3000.00 g
Molar mass of SiC = 40 g/mol
Calculation for number of moles:
[tex]\text{Number of moles of SiC}=\frac{\text{Mass}}{\text{Molar mass}}\\\\ \text{Number of moles of SiC}=\frac{3000g}{40g/mol}\\\\ \text{Number of moles of SiC}=75mol[/tex]
According to reaction, 1 mole of SiC is produced from 1 mole of silicon dioxide.
Then, 75 moles of SiC will be produce from 75moles of silicon dioxide.
Mass of 75 moles of silicon dioxide:
[tex]\text{Mass}=\text{Number of moles}*\text{Molar mass}\\\\\text{Mass}=75 mol*60g/mol\\\\\text{Mass}=4500g=4.5kg[/tex]
Thus, 4.5 kilograms of silicon dioxide is required to produce 3.00 kg of SiC.
Find more information about Number of moles here:
brainly.com/question/15356425
