Final answer:
To find the final volume of a solution with a desired concentration, we can use the equation M₁V₁ = M₂V₂. Given 14.5 g of NH₄NO₃ and a desired concentration of 1.75 M, the final volume is calculated to be 1478 mL.
Step-by-step explanation:
To calculate the final volume of a solution, we can use the equation:
M₁V₁ = M₂V₂
where M₁ and V₁ are the initial concentration and volume, and M₂ and V₂ are the final concentration and volume, respectively.
In this case, we have 14.5 g of NH₄NO₃ and want a concentration of 1.75 M. To find the final volume, we need to convert the mass of NH₄NO₃ to moles and then use the equation:
M₁V₁ = M₂V₂
14.5 g NH₄NO₃ * (1 mol NH₄NO₃ / 80.04 g NH₄NO₃) = (1.75 mol/L) * V₂
V₂ = (14.5 g NH₄NO₃ * 1 mol NH₄NO₃ / 80.04 g NH₄NO₃) / (1.75 mol/L) = 1.478 L = 1478 mL
Therefore, the final volume of the solution is 1478 mL.