What is the mass of ammonium nitrate in 250 mL of a 75% mass solution with a density of 1.725 g/mL?

To find the mass of ammonium nitrate in the solution, first you need to determine the mass of the solution itself, and then you can calculate the mass of ammonium nitrate using the percentage by mass.

Step 1: Calculate the mass of the solution. We know that density (d) is mass (m) per unit volume (V), so m = d * V. Given that the density (d) of the solution is 1.725 g/mL and the volume (V) is 250 mL, the mass of the solution (m_solution) can be calculated as:

m_solution = d * V m_solution = 1.725 g/mL * 250 mL m_solution = 431.25 g

Step 2: Determine the mass of ammonium nitrate in the solution. The problem states that the solution is 75% by mass ammonium nitrate. This means that 75% of the solution's mass is ammonium nitrate.

So the mass of ammonium nitrate (m_ammonium_nitrate) is 75% of the total mass of the solution:

m_ammonium_nitrate = 75% * m_solution m_ammonium_nitrate = 0.75 * 431.25 g m_ammonium_nitrate = 323.4375 g

Therefore, the mass of ammonium nitrate in 250 mL of a 75% by mass solution is 323.4375 grams.