What is the molarity of the diluted solution when each of the following solutions is diluted to the given final volume? (a) 1.00 L of a 0.250-M solution of Fe (NO3) 3 is diluted to a final volume of 2.00 L (b) 0.5000 L of a 0.1222-M solution of C3H7OH is diluted to a final volume of 1.250 L (c) 2.35 L of a 0.350-M solution of H3PO4 is diluted to a final volume of 4.00 L (d) 22.50 mL of a 0.025-M solution of C12H22O11 is diluted to 100.0 mL

a) 0.125 M.

b) 0.04888 M.

c) 0.2056 M.

d) 5.625 x 10⁻³ M.

Explanation:

To solve this problem; we must mention the rule states the no. of millimoles of a substance before and after dilution is the same.

(MV) before dilution = (MV) after dilution

(a) 1.00 L of a 0.250 M solution of Fe (NO₃) ₃ is diluted to a final volume of 2.00 L.

∵ (MV) before dilution of Fe (NO₃) ₃ = (MV) after dilution of Fe (NO₃) ₃

M before dilution = 0.250 M, V before dilution = 1.00 L.

M after dilution = ? M, V after dilution = 2.00 L.

∵ (MV) before dilution of Fe (NO₃) ₃ = (MV) after dilution of Fe (NO₃) ₃

∴ (0.250 M) (1.00 L) = (M after dilution of Fe (NO₃) ₃) (2.00 L)

∴ M after dilution of Fe (NO₃) ₃ = (0.250 M) (1.00 L) / (2.00 L) = 0.125 M.

(b) 0.5000 L of a 0.1222 M solution of C₃H₇OH is diluted to a final volume of 1.250 L.

∵ (MV) before dilution of C₃H₇OH = (MV) after dilution of C₃H₇OH

M before dilution = 0.1222 M, V before dilution = 0.500 L.

M after dilution = ? M, V after dilution = 1.250 L.

∵ (MV) before dilution of C₃H₇OH = (MV) after dilution of C₃H₇OH

∴ (0.1222 M) (0.500 L) = (M after dilution of C₃H₇OH) (1.250 L)

∴ M after dilution of C₃H₇OH = (0.1222 M) (0.500 L) / (1.250 L) = 0.04888 M.

(c) 2.35 L of a 0.350 M solution of H₃PO₄ is diluted to a final volume of 4.00 L.

∵ (MV) before dilution of H₃PO₄ = (MV) after dilution of H₃PO₄

M before dilution = 0.350 M, V before dilution = 2.35 L.

M after dilution = ? M, V after dilution = 4.00 L.

∵ (MV) before dilution of H₃PO₄ = (MV) after dilution of H₃PO₄

∴ (0.350 M) (2.35 L) = (M after dilution of H₃PO₄) (4.00 L)

∴ M after dilution of H₃PO₄ = (0.350 M) (2.35 L) / (4.00 L) = 0.2056 M.

(d) 22.50 mL of a 0.025 M solution of C₁₂H₂₂O₁₁ is diluted to 100.0 mL.

∵ (MV) before dilution of C₁₂H₂₂O₁₁ = (MV) after dilution of C₁₂H₂₂O₁₁

M before dilution = 0.025 M, V before dilution = 22.50 mL.

M after dilution = ? M, V after dilution = 100.0 mL.

∵ (MV) before dilution of C₁₂H₂₂O₁₁ = (MV) after dilution of C₁₂H₂₂O₁₁

∴ (0.025 M) (22.50 mL) = (M after dilution of C₁₂H₂₂O₁₁) (100.0 mL)

∴ M after dilution of C₁₂H₂₂O₁₁ = (0.025 M) (22.50 mL) / (100.0 L) = 5.625 x 10⁻³ M.