Aspirin, C9H8O4 , is produced through the following reaction of salicylic acid, C7H6O3, and acetic anhydride, C4H6O3:
C7H6O3(s) + C4H6O3(l) ---> C9H8O4(s) + HC2H3O2(l)
A. What mass of aspirin (kg) could be produced from 75.0 mol of salicylic acid?
B. What mass of acetic anhydride (kg) would be required?
Note that 1 mol SA = 1 mol aspirin and
1 mol SA = 1 mol acetic anhydride.
Therefore, 75 mol SA will produce 75 mols aspirin. Then g aspirin = mols x molar mass.
75 mol SA will use 75 mol acetic anhydride; g = mols x molar mass.
A. Well, let's start by calculating the molar mass of salicylic acid and aspirin.
The molar mass of salicylic acid (C7H6O3) can be calculated as:
(7 * molar mass of carbon) + (6 * molar mass of hydrogen) + (3 * molar mass of oxygen)
Similarly, the molar mass of aspirin (C9H8O4) is:
(9 * molar mass of carbon) + (8 * molar mass of hydrogen) + (4 * molar mass of oxygen)
Now let's use the given information that 75.0 mol of salicylic acid is being used.
To calculate the mass of aspirin produced, we'll use the equation:
mass = moles * molar mass
So, mass of aspirin = 75.0 mol * molar mass of aspirin
B. Moving on to the mass of acetic anhydride required, we'll use the same equation:
mass = moles * molar mass
But first, we need to find the number of moles of acetic anhydride based on the balanced chemical equation:
From the equation,
1 mole of salicylic acid reacts with 1 mole of acetic anhydride to produce 1 mole of aspirin.
So, if we have 75.0 moles of salicylic acid, we'll also need 75.0 moles of acetic anhydride.
Finally, we can calculate the mass of acetic anhydride required using the equation:
mass = 75.0 mol * molar mass of acetic anhydride
I hope this helps! Just remember, chemistry is like a recipe - you need the right ingredients in the right amounts, just like in cooking. Good luck!
To find the mass of aspirin that could be produced from 75.0 mol of salicylic acid, we need to use the mole ratio between salicylic acid and aspirin.
The balanced chemical equation tells us that 1 mol of salicylic acid reacts to produce 1 mol of aspirin. Therefore, the mole ratio is 1:1.
A. To find the mass of aspirin:
Step 1: Find the molar mass of salicylic acid (C7H6O3):
C = 12.01 g/mol
H = 1.01 g/mol
O = 16.00 g/mol
Molar mass of salicylic acid (C7H6O3) = (7 * C) + (6 * H) + (3 * O) = (7 * 12.01) + (6 * 1.01) + (3 * 16.00) = 138.12 g/mol
Step 2: Use the mole ratio to calculate the mass of aspirin:
1 mol of salicylic acid = 138.12 g of salicylic acid
75.0 mol of salicylic acid = (138.12 g/mol) * 75.0 mol = 10,359 g or 10.359 kg
Therefore, 75.0 mol of salicylic acid can produce 10.359 kg of aspirin.
B. To find the mass of acetic anhydride required:
Step 1: Find the molar mass of acetic anhydride (C4H6O3):
C = 12.01 g/mol
H = 1.01 g/mol
O = 16.00 g/mol
Molar mass of acetic anhydride (C4H6O3) = (4 * C) + (6 * H) + (3 * O) = (4 * 12.01) + (6 * 1.01) + (3 * 16.00) = 102.09 g/mol
Step 2: Use the mole ratio to calculate the mass of acetic anhydride:
1 mol of salicylic acid = 102.09 g of acetic anhydride
75.0 mol of salicylic acid = (102.09 g/mol) * 75.0 mol = 7,657.25 g or 7.65725 kg
Therefore, 75.0 mol of salicylic acid would require 7.65725 kg of acetic anhydride.
To find the mass of aspirin that could be produced from 75.0 mol of salicylic acid, we need to use the stoichiometry of the reaction.
A. To find the mass of aspirin (C9H8O4), we can use the molar mass of salicylic acid (C7H6O3) and the balanced equation.
1 mol of salicylic acid (C7H6O3) produces 1 mol of aspirin (C9H8O4). The molar masses are as follows:
Molar mass of salicylic acid (C7H6O3) = 138.12 g/mol
Molar mass of aspirin (C9H8O4) = 180.16 g/mol
Now we can set up the conversion:
75.0 mol of salicylic acid × (180.16 g of aspirin / 1 mol of salicylic acid) = X g of aspirin
To convert grams to kilograms, divide by 1000:
X g of aspirin / 1000 = X kg of aspirin
Therefore, the mass of aspirin (kg) that could be produced from 75.0 mol of salicylic acid is X kg.
B. To find the mass of acetic anhydride (C4H6O3) required, we can again use the stoichiometry of the reaction.
According to the balanced equation, 1 mol of salicylic acid (C7H6O3) reacts with 1 mol of acetic anhydride (C4H6O3).
The molar mass of acetic anhydride (C4H6O3) is 102.09 g/mol.
Using the same logic as before, we can set up the conversion:
75.0 mol of salicylic acid × (102.09 g of acetic anhydride / 1 mol of salicylic acid) = Y g of acetic anhydride
To convert grams to kilograms, divide by 1000:
Y g of acetic anhydride / 1000 = Y kg of acetic anhydride
Therefore, the mass of acetic anhydride (kg) required is Y kg.