Question:

Concentrated nitric acid is labelled as 75% by mass. The volume in mL of the solution which contains 30 g of nitric acid is: 
Given: Density of nitric acid solution is 1.25 g/mL.

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When solving mass and volume problems, use the relationship \( {Density} = \frac{{Mass}}{{Volume}} \) to find the missing values.
Updated On: Feb 5, 2025
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The Correct Option is C

Solution and Explanation

We are given that the concentration of the nitric acid solution is 75% by mass. This means that for every 100 g of solution, there are 75 g of nitric acid. We are asked to find the volume of the solution that contains 30 g of nitric acid. First, calculate the total mass of the solution required to get 30 g of nitric acid: \[ {Mass of solution} = \frac{30 \, {g}}{0.75} = 40 \, {g} \] Now, using the density of the solution, which is 1.25 g/mL, calculate the volume of the solution: \[ {Volume} = \frac{40 \, {g}}{1.25 \, {g/mL}} = 32 \, {mL} \] Thus, the volume required is 40 mL.

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