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A student dissolves 4.00 g of an unknown monoprotic acid in 1.00 L of water. They titrate this solution with 0.600 M NaOH, and the equivalence point is reached when 38.7 mL of NaOH is added. Calculate

Chemistry

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2 parts
5

0.0232 M\text{0.0232 M}

172 g/mol\text{172 g/mol}

8

[Ar]3d104s24p6[\text{Ar}] 3d^{10} 4s^2 4p^6

[Ar]3d6[\text{Ar}] 3d^6

Step-by-step solution

6 steps

Here are the answers to question 5 and 8.a.

Part 5· 4 steps

  1. Calculate the moles of NaOH used.

    The volume of NaOH is 38.7 mL=0.0387 L38.7 \text{ mL} = 0.0387 \text{ L}.
    The molarity of NaOH is 0.600 M0.600 \text{ M}.

    Moles of NaOH=Molarity×Volume\text{Moles of NaOH} = \text{Molarity} \times \text{Volume} Moles of NaOH=0.600molL×0.0387 L=0.02322 mol\text{Moles of NaOH} = 0.600 \frac{\text{mol}}{\text{L}} \times 0.0387 \text{ L} = 0.02322 \text{ mol}
  2. Determine the moles of the unknown monoprotic acid.

    A monoprotic acid (HA) reacts with NaOH in a 1:1 mole ratio:

    HA(aq)+NaOH(aq)⟶NaA(aq)+H2O(l)\text{HA(aq)} + \text{NaOH(aq)} \longrightarrow \text{NaA(aq)} + \text{H}_2\text{O(l)}

    Since 0.02322 mol0.02322 \text{ mol} of NaOH was needed to neutralize "the acid", we assume this refers to the total moles of acid present in the solution.

    Moles of HA=Moles of NaOH=0.02322 mol\text{Moles of HA} = \text{Moles of NaOH} = 0.02322 \text{ mol}
  3. Calculate the molarity of the acid solution.

    The 0.02322 mol0.02322 \text{ mol} of acid was dissolved in 1.00 L1.00 \text{ L} of water.

    Molarity of acid=Moles of HAVolume of solution\text{Molarity of acid} = \frac{\text{Moles of HA}}{\text{Volume of solution}} Molarity of acid=0.02322 mol1.00 L=0.02322 M\text{Molarity of acid} = \frac{0.02322 \text{ mol}}{1.00 \text{ L}} = 0.02322 \text{ M}

    Rounding to three significant figures:

    Molarity of acid=0.0232 M\text{Molarity of acid} = \boxed{\text{0.0232 M}}
  4. Calculate the molar mass of the unknown acid.

    The mass of the unknown acid is 4.00 g4.00 \text{ g}.

    Molar mass of acid=Mass of acidMoles of acid\text{Molar mass of acid} = \frac{\text{Mass of acid}}{\text{Moles of acid}} Molar mass of acid=4.00 g0.02322 mol≈172.26gmol\text{Molar mass of acid} = \frac{4.00 \text{ g}}{0.02322 \text{ mol}} \approx 172.26 \frac{\text{g}}{\text{mol}}

    Rounding to three significant figures:

    Molar mass of acid=172 g/mol\text{Molar mass of acid} = \boxed{\text{172 g/mol}}

Part 8

[Ar]3d104s24p6[\text{Ar}] 3d^{10} 4s^2 4p^6

a

  1. Write the electronic configuration for Se²⁻.

    Selenium (Se) is element 34. Its neutral electron configuration is [Ar]3d104s24p4[\text{Ar}] 3d^{10} 4s^2 4p^4.
    To form Se²⁻, two electrons are gained, filling the 4p4p subshell.

    Se2−:[Ar]3d104s24p6\text{Se}^{2-} : \boxed{[\text{Ar}] 3d^{10} 4s^2 4p^6}
  2. Write the electronic configuration for Fe²⁺.

    Iron (Fe) is element 26. Its neutral electron configuration is [Ar]3d64s2[\text{Ar}] 3d^6 4s^2.
    To form Fe²⁺, two electrons are lost. For transition metals, electrons are removed from the highest principal energy level first, which is the 4s4s subshell.

    Fe2+:[Ar]3d6\text{Fe}^{2+} : \boxed{[\text{Ar}] 3d^6}
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