To calculate the mass of carbon monoxide (CO) formed from 4.4g of carbon dioxide (CO2), we need to use the balanced equation you provided: CO2 + C -> 2CO.
The first step is to find the molar mass of carbon dioxide (CO2). Carbon (C) has a molar mass of 12.01 g/mol, and oxygen (O) has a molar mass of 16.00 g/mol. Since CO2 has one carbon atom and two oxygen atoms, its molar mass is:
Molar mass of CO2 = 12.01 g/mol + 2(16.00 g/mol) = 44.01 g/mol
Next, we need to find the molar ratio between CO2 and CO. From the balanced equation, we can see that for every 1 mole of CO2, we get 2 moles of CO. Therefore, the molar ratio of CO2 to CO is 1:2.
Now, we can calculate the number of moles of carbon dioxide provided:
Number of moles of CO2 = Given mass of CO2 / Molar mass of CO2
Number of moles of CO2 = 4.4g / 44.01 g/mol = 0.1 mol (rounded to one decimal place)
Since the molar ratio of CO2 to CO is 1:2, we can multiply the number of moles of CO2 by the molar ratio to find the number of moles of CO formed:
Number of moles of CO = Number of moles of CO2 x (2 moles of CO / 1 mole of CO2)
Number of moles of CO = 0.1 mol x (2/1) = 0.2 mol
Finally, to calculate the mass of carbon monoxide, we can use its molar mass. Carbon (C) has a molar mass of 12.01 g/mol, and oxygen (O) has a molar mass of 16.00 g/mol. Since CO has one carbon atom and one oxygen atom, its molar mass is:
Molar mass of CO = 12.01 g/mol + 16.00 g/mol = 28.01 g/mol
Now we can calculate the mass of carbon monoxide formed:
Mass of CO = Number of moles of CO x Molar mass of CO
Mass of CO = 0.2 mol x 28.01 g/mol = 5.602 g (rounded to three decimal places)
Therefore, the mass of carbon monoxide formed from 4.4g of carbon dioxide is approximately 5.602 grams.