Question

Calculate the mass percentage of aspirin ${{C}_{9}}{{H}_{8}}{{O}_{4}}$ in acetonitrile $C{{H}_{3}}CN$ when $6.5g$ of ${{C}_{9}}{{H}_{8}}{{O}_{4}}$ is dissolved in $450g$ of $C{{H}_{3}}CN$

Answer 1

Mass percentage of a component in the mixture of two components is the value of mass of that component present in that mixture in terms of percentage.
-When a solution contains two components, the one which is present in higher amount is called solvent, acetonitrile in this case, and the component which is present in lesser amount is called solute, aspirin in this case.

Complete step by step answer:
We know that the mass percentage of a component in a mixture of two components is the amount of mass of that component present in the total mass of the mixture, in terms of percentage. In other words, mass percentage of aspirin, in a mixture of aspirin and acetonitrile can be calculated by calculating the total mass of the compound and then dividing the mass of aspirin given in the question. Since we want the mass in terms of percentage, we will multiply the whole equation with $100$.
The given values are: mass of aspirin $6.5g$ and the mass of acetonitrile is $450g$.
We will now write the mathematical equation, needed to find out the value of mass percentage of aspirin by using these given values,
${{(mass\%)}_{aspirin}}=\dfrac{{{M}_{aspirin}}}{{{M}_{acetonitrile}}+{{M}_{aspirin}}}\times 100$
Here the mass percentage of aspirin in denoted by $mass{{\%}_{aspirin}}$, the symbol ${{M}_{aspirin}}$ denotes the mass of aspirin which is being provided in the question, and the symbol ${{M}_{acetonitrile}}$ represents the mass of acetonitrile which is also given in the question.
So, we will now substitute the given values in the following equation and calculate the value of ass percentage of aspirin.
${{(mass\%)}_{aspirin}}=\dfrac{6.5}{450+6.5}\times 100=1.424$
After substituting the value, the unit of masses which was given in the question as gram, gets cancelled out since both the masses were in grams so we didn’t need to convert the units. After dividing the mass of aspirin with total mass, we multiply the value with $100$ since we need the percentage of this value of mass.
So the mass percentage of aspirin in the mixture of aspirin and acetonitrile came out to be $1.424$.

Note: The individual masses of the components, which were acetonitrile and aspirin, in the mixture was given, and we calculated the total mass in the mixture.
The mass percentage of a component in a mixture of two components is the amount of that component in the mixture in terms of percentage.