Aspirin (C9H8O4) is produced from salicylic acid (C7H6O3), and acetic anhydride (C4H6O3):
C7H6O3 + C4H6O3 �¨ C9H8O4 + HC2H3O2
How much salicylic acid is required to produce 2.0 102 kg of aspirin, assuming that all of the salicylic acid is converted to aspirin?
for this one i got1.5e2kg which i know is correct
How much salicylic acid would be required if only 87% of the salicylic acid is converted to aspirin?
for this one i just took my answer from number one and multiplied it by .87 but the answer was wrongl. what i am doing wrong?
To determine the amount of salicylic acid required if only 87% of it is converted to aspirin, you cannot simply multiply the amount calculated in the first question by 0.87. Instead, you need to calculate the theoretical yield of aspirin first and then calculate the amount of salicylic acid required based on that yield.
In the balanced chemical equation provided:
C7H6O3 + C4H6O3 → C9H8O4 + HC2H3O2
From the equation, you can see that the molar ratio between salicylic acid (C7H6O3) and aspirin (C9H8O4) is 1:1. This means that for every 1 mole of salicylic acid, you will produce 1 mole of aspirin.
First, calculate the molar mass of aspirin:
Molar mass of C9H8O4 = (9*12.01 g/mol) + (8*1.01 g/mol) + (4*16.00 g/mol) = 180.16 g/mol
Next, convert the given mass of aspirin to moles:
2.0 x 10^2 kg = 2.0 x 10^5 g
Number of moles of aspirin = mass / molar mass = 2.0 x 10^5 g / 180.16 g/mol = 1110.5 mol
Since the molar ratio is 1:1, the moles of salicylic acid required will be the same as the moles of aspirin produced (1110.5 mol).
Now, taking into account the 87% conversion, you need to calculate the actual amount of salicylic acid required. Multiply the moles by the conversion efficiency:
Actual moles of salicylic acid required = 1110.5 mol * 0.87 = 966.44 mol
Finally, convert the moles of salicylic acid to mass:
Mass of salicylic acid required = moles * molar mass = 966.44 mol * (12.01 g/mol + 6.01 g/mol + 16.00 g/mol) = 1.150 x 10^4 g
Therefore, if only 87% of the salicylic acid is converted to aspirin, approximately 1.150 x 10^4 grams (or 1.150 x 10^2 kg) of salicylic acid would be required.
To find out how much salicylic acid would be required if only 87% of it is converted to aspirin, you need to adjust your calculation.
Since only 87% of salicylic acid is converted to aspirin, you will need to divide the desired amount of aspirin by 87% (or 0.87) to find the amount of salicylic acid required.
Let's calculate:
Desired amount of aspirin = 2.0 * 10^2 kg
Conversion efficiency = 87% = 0.87
Amount of salicylic acid required = (Desired amount of aspirin) / (Conversion efficiency)
= (2.0 * 10^2 kg) / 0.87
= 2.3 * 10^2 kg
So, if only 87% of salicylic acid is converted to aspirin, you would need approximately 2.3 * 10^2 kg (or 230 kg) of salicylic acid.