Acetylsalicylic acid is the active ingredient in aspirin. It took 35.17 mL of 0.5065 M sodium hydroxide to react completely with 3.210 g of acetylsalicylic acid. Acetylsalicylic acid has one acidic hydrogen. What is the molar mass of acetylsalicylic acid?

Short Answer

Expert verified
The molar mass of acetylsalicylic acid is approximately 180.24 g/mol.

Step by step solution

01

Calculate moles of sodium hydroxide

To calculate the moles of sodium hydroxide, use the equation: moles of NaOH = molarity of NaOH * volume of NaOH (in L) moles of NaOH = 0.5065 M * 35.17 mL * (1 L / 1000 mL) = 0.01781 moles
02

Determine moles of acetylsalicylic acid

As the reaction follows a 1:1 stoichiometry, the moles of acetylsalicylic acid will be equal to the moles of sodium hydroxide. moles of acetylsalicylic acid = moles of NaOH = 0.01781 moles
03

Calculate the molar mass of acetylsalicylic acid

Now, we will find the molar mass of acetylsalicylic acid by dividing the mass (in grams) by the moles of acetylsalicylic acid. molar mass of acetylsalicylic acid = mass of acetylsalicylic acid / moles of acetylsalicylic acid molar mass of acetylsalicylic acid = 3.210 g / 0.01781 moles = 180.24 g/mol The molar mass of acetylsalicylic acid is approximately 180.24 g/mol.

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