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Chapter 4: Problem 101

Acetylsalicylic acid is the active ingredient in aspirin. It took \(35.17 \mathrm{~mL}\) of \(0.5065 M\) 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 \(180\mathrm{~g/mol}\).

Step by step solution

01

Determine the moles of sodium hydroxide

We are given the volume \((35.17\mathrm{~mL})\) and the concentration \((0.5065 M)\) of the sodium hydroxide solution. We can use these values to find the moles of sodium hydroxide: Moles of sodium hydroxide = Volume (L) × Concentration (M) First, we need to convert the volume from milliliters to liters: Volume (L) = \( \frac{35.17\mathrm{~mL}}{1000\mathrm{~mL/L}} = 0.03517\mathrm{~L} \) Now we can calculate the moles of sodium hydroxide: Moles of sodium hydroxide = \(0.03517\mathrm{~L} \times 0.5065 M = 0.0178\mathrm{~mol} \)
02

Determine the moles of acetylsalicylic acid

Since acetylsalicylic acid has one acidic hydrogen, it means that one mole of acetylsalicylic acid will react with one mole of sodium hydroxide. So, the moles of acetylsalicylic acid will be equal to the moles of sodium hydroxide: Moles of acetylsalicylic acid = Moles of sodium hydroxide = 0.0178 mol
03

Calculate the molar mass of acetylsalicylic acid

Now that we have the moles of acetylsalicylic acid, we can use the given mass of acetylsalicylic acid to find its molar mass. Molar mass of acetylsalicylic acid = \( \frac{Mass}{Moles} \) Molar mass of acetylsalicylic acid = \( \frac{3.210\mathrm{~g}}{0.0178\mathrm{~mol}} \) Molar mass of acetylsalicylic acid = \(180\mathrm{~g/mol} \) The molar mass of acetylsalicylic acid is 180 g/mol.

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Most popular questions from this chapter

Consider the reaction between sodium metal and fluorine \(\left(\mathrm{F}_{2}\right)\) gas to form sodium fluoride. Using oxidation states, how many electrons would each sodium atom lose, and how many electrons would each fluorine atom gain? How many sodium atoms are needed to react with one fluorine molecule? Write a balanced equation for this reaction.

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