How many grams of carbon disulfide,CS2 will form if 0.450 mol of carbon is consumed in a 3C+2SO2=CS2 +2CO2 reaction
To find the number of grams of carbon disulfide, CS2, formed, you need to use the balanced equation and the molar mass of CS2.
The balanced equation is: 3C + 2SO2 → CS2 + 2CO2
From the balanced equation, you can see that for every 3 moles of carbon, 1 mole of CS2 is formed.
Given that 0.450 mol of carbon is consumed, you can use the mole ratio to determine the moles of CS2 formed.
Moles of CS2 = Moles of carbon / Mole ratio
Mole ratio (carbon to CS2) = 3 moles carbon/1 mole carbon disulfide
Moles of CS2 = 0.450 mol carbon / 3 mol carbon/ 1 mol carbon disulfide = 0.150 mol carbon disulfide
Now, to convert moles of CS2 to grams, you need to multiply by the molar mass of CS2.
The molar mass of carbon disulfide (CS2) is:
(1 atom of carbon * atomic mass of carbon) + (2 atoms of sulfur * atomic mass of sulfur)
= (1 * 12.01 g/mol) + (2 * 32.07 g/mol)
= 12.01 g/mol + 64.14 g/mol
= 76.15 g/mol
Grams of CS2 = Moles of CS2 * Molar mass of CS2
Grams of CS2 = 0.150 mol * 76.15 g/mol
Grams of CS2 = 11.42 g
Therefore, 0.450 mol of carbon will form 11.42 grams of carbon disulfide, CS2, in the reaction.
To determine the mass of carbon disulfide (CS2) formed, we need to use the given number of moles of carbon (C) and the balanced equation for the reaction.
First, find the molar mass of carbon disulfide (CS2). The molar mass of carbon (C) is approximately 12.01 g/mol, and the molar mass of sulfur (S) is approximately 32.07 g/mol. Since there are two sulfur atoms in CS2, we multiply the molar mass of sulfur (32.07 g/mol) by 2. Finally, add the molar masses of carbon and sulfur to obtain the molar mass of CS2:
Molar mass of CS2 = (2 × molar mass of S) + molar mass of C
= (2 × 32.07 g/mol) + 12.01 g/mol
= 64.14 g/mol + 12.01 g/mol
= 76.15 g/mol
Next, use the balanced equation to determine the molar ratio between carbon (C) and carbon disulfide (CS2). From the equation 3C + 2SO2 = CS2 + 2CO2, we can see that the ratio is 3 moles of carbon to 1 mole of carbon disulfide.
Now, calculate the number of moles of carbon disulfide formed by taking the given number of moles of carbon and using the molar ratio:
Number of moles of CS2 = (Number of moles of C) × (1 mole of CS2 / 3 moles of C)
= 0.450 mol × (1 mol CS2 / 3 mol C)
≈ 0.150 mol
Finally, convert the moles of CS2 to grams using the molar mass of CS2:
Mass of CS2 = (Number of moles of CS2) × (Molar mass of CS2)
= 0.150 mol × 76.15 g/mol
≈ 11.42 g
Therefore, approximately 11.42 grams of carbon disulfide (CS2) will form if 0.450 mol of carbon is consumed in the given reaction.