Ibuprofen, \(\mathrm{C}_{13} \mathrm{H}_{18} \mathrm{O}_{2},\) an active ingredient in pain relievers has a molar mass of 206.31 g/mol. How many moles of ibuprofen are in a bottle that contains 33 \(\mathrm{g}\) of ibuprofen?

Short Answer

Expert verified
The number of moles of ibuprofen in a 33 g bottle is approximately 0.16 moles.

Step by step solution

01

Analyzing the Problem

Identify the information given in the problem: the weight of ibuprofen, which is 33 g, and the molar mass of ibuprofen, which is 206.31 g/mol. The task is to find the number of moles of ibuprofen which can be found by applying the formula: moles = mass (g) / molar mass (g/mol).
02

Application of the Formula

Insert the known values into the formula: moles = 33 g / 206.31 g/mol.
03

Perform the Calculation

Upon performing the division, you'll find that the number of moles of ibuprofen in the 33 g bottle is approximately 0.16 moles.

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