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Chapter 6: Problem 103

Acetylsalicylic acid is the active ingredient in aspirin. It took \(35.17 \mathrm{mL}\) of \(0.5065 \mathrm{M}\) sodium hydroxide to react completely with \(3.210 \mathrm{g}\) 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 \(180.34\,\mathrm{g/mol}\).

Step by step solution

01

Calculate the moles of sodium hydroxide

The moles of sodium hydroxide (NaOH) can be calculated using the volume and concentration: Moles of NaOH = Volume of NaOH × Concentration of NaOH Moles of NaOH = \(35.17\,\mathrm{mL}\) × \(0.5065\,\mathrm{M}\) Note: Make sure to convert the volume in mL to L by dividing by 1000. Moles of NaOH = \(0.03517\,\mathrm{L}\) × \(0.5065\,\mathrm{M}\) = \(0.0178\,\mathrm{mol}\)
02

Calculate the moles of acetylsalicylic acid

Since acetylsalicylic acid reacts with sodium hydroxide in a 1:1 ratio, the moles of acetylsalicylic acid will be the same as the moles of sodium hydroxide. Moles of acetylsalicylic acid = Moles of NaOH = \(0.0178\,\mathrm{mol}\)
03

Calculate the molar mass of acetylsalicylic acid

Now, we can use the moles of acetylsalicylic acid and its mass to find the molar mass: Molar mass of acetylsalicylic acid = Mass of acetylsalicylic acid ÷ Moles of acetylsalicylic acid Molar mass of acetylsalicylic acid = \(3.210\,\mathrm{g}\) ÷ \(0.0178\,\mathrm{mol}\) = \(180.34\,\mathrm{g/mol}\) The molar mass of acetylsalicylic acid is approximately \(180.34\,\mathrm{g/mol}\).

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Most popular questions from this chapter

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