At the start of the process 118 kg of isobutylbenzene is used and the overall yield of the 3 reaction steps is 24%, how many 400 mg tablets of ibuprofen will be produced?
Isobutylbenzene:
Chemical formula = C10H14
Molecular Weight = 134.22g
2-(4-isobuytlphenyl) propanoic acid
Chemical Formula = C13H18O2
Ibuprofen
Write and balance the three steps as equations.
Convert 118 kg isobutylbenzene to mols. mols = grams/molar mass = ?
Use the coefficients in the balanced equation to convert mols isobutylbenzene to mols ibuprofen. Multiply by 0.24, then convert mols of product to grams. g = mols x molar mass.
UQ Academic Integrity Policy
It is the University's task to encourage ethical scholarship and to inform students and staff about the institutional standards of academic behaviour expected of them in learning, teaching and research. Students have a responsibility to maintain the highest standards of academic integrity in their work. Students must not cheat in examinations or other forms of assessment.
To determine the number of 400 mg ibuprofen tablets produced, we need to calculate the moles of isobutylbenzene used and then use stoichiometry to find the moles of ibuprofen produced.
Here's how you can do it:
Step 1: Calculate the moles of isobutylbenzene used:
Given that the molecular weight of isobutylbenzene is 134.22 g/mol and the mass used is 118 kg, we can convert the mass to moles using the formula:
Number of moles = Mass (in grams) / Molecular weight
Mass of isobutylbenzene = 118 kg * 1000 g/kg = 118,000 g
Number of moles of isobutylbenzene = 118,000 g / 134.22 g/mol
Step 2: Calculate the moles of ibuprofen produced:
From the balanced chemical equation, we know that 1 mole of isobutylbenzene produces 1 mole of ibuprofen (assuming 100% yield).
Number of moles of ibuprofen = Number of moles of isobutylbenzene * Yield
Yield is given as 24%, so we need to convert it to a decimal (24/100 = 0.24).
Number of moles of ibuprofen = (118,000 g / 134.22 g/mol) * 0.24
Step 3: Calculate the number of tablets produced:
Now, we need to convert the moles of ibuprofen to the number of tablets. Since one mole of ibuprofen is equal to the molar mass of ibuprofen (C13H18O2) in grams, we can use that to convert to tablets.
Molar mass of ibuprofen = (13 * 12.01 g/mol) + (18 * 1.01 g/mol) + (2 * 16.00 g/mol)
Molar mass of ibuprofen = 206.29 g/mol
Number of tablets = Number of moles of ibuprofen * (1 mol / 206.29 g) * (1000 mg / 400 mg)
Now, you can plug in the values and calculate the number of tablets produced.