41. Methanol (CH,OH) is used in the production of many chemicals. Methanol is made by reacting carbon monoxide and hydrogen at high temperature and pressure.

CO(g) + 2H, (g) → > CH30H(g)
a. How many moles of each reactant are needed to produce 3.60 X 102 g CH,OH?
b. Calculate the number of grams of each reactant needed to produce 4.00 mol CHOH.
c. How many grams of hydrogen are necessary to react with 2.85 mol of Co?

1 answer

a. To determine the moles of each reactant needed, we need to use their molar masses.

The molar mass of CO is 28.01 g/mol.
The molar mass of H2 is 2.02 g/mol.

From the balanced equation, we can see that the mole ratio between CO and CH3OH is 1:1, and the mole ratio between H2 and CH3OH is 2:1.

So, to produce 1 mole of CH3OH, we need 1 mole of CO and 2 moles of H2.

To produce 3.60 x 10^2 g of CH3OH, we can use the following calculations:

(3.60 x 10^2 g CH3OH) x (1 mol CH3OH / 32.04 g CH3OH) = 11.24 mol CH3OH

Therefore, we need 11.24 moles of CO and 22.48 moles of H2 to produce 3.60 x 10^2 g CH3OH.

b. To determine the grams of each reactant needed, we need to use their molar masses.

To produce 1 mole of CH3OH, we need 1 mole of CO and 2 moles of H2.

So, to produce 4.00 mol CH3OH, we would need:

- 4.00 mol CO x (28.01 g CO / 1 mol CO) = 112.04 g CO
- 4.00 mol H2 x (2.02 g H2 / 1 mol H2) = 8.08 g H2

Therefore, we would need 112.04 grams of CO and 8.08 grams of H2 to produce 4.00 mol CH3OH.

c. Again, the mole ratio between CO and H2 in the balanced equation is 1:2. This means that for every 1 mole of CO, we need 2 moles of H2.

To determine the grams of hydrogen necessary to react with 2.85 mol of CO, we can use the following calculation:

2.85 mol CO x (2 mol H2 / 1 mol CO) x (2.02 g H2 / 1 mol H2) = 11.55 g H2

Therefore, we would need 11.55 grams of hydrogen to react with 2.85 mol of CO.