Final answer:
The molarity is M = (0.24994 mol) / (0.250 L) = 0.99976 M
Step-by-step explanation:
To determine the molarity of the solution, we need to first calculate the number of moles of NH₄NO₃ in the solution. We can do this by using the molar mass of NH₄NO₃, which is the sum of the atomic masses of its elements.
Molar mass of NH₄NO₃ = 14.01 g/mol (mass of N) + 4(1.01 g/mol) (mass of H) + 3(15.99 g/mol) (mass of O) = 80.04 g/mol.
Next, we can use the formula for molarity (M) to calculate the molarity of the solution:
- M = (moles of solute) / (volume of solution in liters).
In this case, we have:
- Molar mass of NH₄NO₃ = 80.04 g/mol
- Volume of solution = 250.0 mL = 0.250 L
Using these values, we can calculate the moles of NH₄NO₃:
- moles of NH₄NO₃ = (20.0 g) / (80.04 g/mol) = 0.24994 mol.
Finally, we can calculate the molarity:
- M = (0.24994 mol) / (0.250 L) = 0.99976 M