What would be the range of volume of 0.4955 N sulfuric acid consumed in titrating 1.5 g of aspirin to pass the USP limits if 40 mL was consumed in the blank determination?
To determine the range of volume of 0.4955 N sulfuric acid consumed in titrating 1.5 g of aspirin, we need to consider the blank determination and the USP limits.
Let's break down the problem step by step:
Step 1: Calculate the molar mass of aspirin (C9H8O4):
- C (carbon) has a molar mass of 12.01 g/mol.
- H (hydrogen) has a molar mass of 1.01 g/mol.
- O (oxygen) has a molar mass of 16.00 g/mol.
Thus, the molar mass of aspirin is (9 * 12.01) + (8 * 1.01) + (4 * 16.00) = 180.16 g/mol.
Step 2: Calculate the number of moles of aspirin used:
- The mass of aspirin is given as 1.5 g.
- Use the formula: moles = mass / molar mass.
Thus, moles of aspirin = 1.5 g / 180.16 g/mol = 0.00832 mol.
Step 3: Determine the USP limits for sulfuric acid:
- The USP limits specify the range within which the consumption of sulfuric acid is acceptable.
- Without specific information about the USP limits, we cannot determine the exact range.
Step 4: Calculate the total volume of sulfuric acid consumed:
- A blank determination is carried out separately to determine the volume of sulfuric acid reacted with any impurities in the reagents or equipment used, which gives a baseline.
- In this case, 40 mL of sulfuric acid was consumed in the blank determination.
Step 5: Consider the range of volume:
- Without additional information regarding the USP limits, we cannot determine the exact range of sulfuric acid volume consumed.
In summary, without specific information about the USP limits, it is not possible to determine the range of volume of 0.4955 N sulfuric acid consumed in titrating 1.5 g of aspirin to pass the USP limits.