We read your photo as:

A titration was performed using 25.00 cm³ of an unknown acid (H₂Y) and a 0.10 mol dm⁻³ solution of sodium hydroxide (NaOH). The average titre of NaOH used was 22.50 cm³. Calculate the concentration of

Chemistry

ScanSolve AI Answer

Answers

4 parts
a

22.50 cm322.50 \text{ cm}^3

b(i)

0.10 mol dm−30.10 \text{ mol dm}^{-3}

b(ii)

0.0556 mol dm−30.0556 \text{ mol dm}^{-3}

b(iii)

100.8 g mol−1100.8 \text{ g mol}^{-1}

Step-by-step solution

5 steps

Here's the solution to the titration problem:

Part a

Tabulate your readings and calculate the average volume of A used.

Titration readings are not provided in the question. To proceed with the calculations in part b), we will assume an average titre (volume of A used) of 22.50 cm322.50 \text{ cm}^3. In a real experiment, you would perform multiple titrations and record your initial and final burette readings to calculate individual titres, then average the consistent ones.

  • Assumed Average Volume of A: 22.50 cm3\boxed{22.50 \text{ cm}^3}

Part b(i)

0.10 mol dm−30.10 \text{ mol dm}^{-3}

Concentration of B in mol dm−3\text{mol dm}^{-3}

From your result and the information provided above, calculate the

  1. Calculate the molar mass of NaOH\text{NaOH}.

    The relative atomic masses are Na=23\text{Na}=23, O=16\text{O}=16, H=1\text{H}=1.

    Molar mass of NaOH=Na+O+H=23+16+1=40 g mol−1\text{Molar mass of NaOH} = \text{Na} + \text{O} + \text{H} = 23 + 16 + 1 = 40 \text{ g mol}^{-1}
  2. Calculate the concentration of B (NaOH\text{NaOH}) in mol dm−3\text{mol dm}^{-3}.

    The concentration of B is given as 4.0 g dm−34.0 \text{ g dm}^{-3}.

    Concentration of B=Mass concentrationMolar mass=4.0 g dm−340 g mol−1=0.10 mol dm−3\text{Concentration of B} = \frac{\text{Mass concentration}}{\text{Molar mass}} = \frac{4.0 \text{ g dm}^{-3}}{40 \text{ g mol}^{-1}} = \boxed{0.10 \text{ mol dm}^{-3}}

Part b(ii)

0.0556 mol dm−30.0556 \text{ mol dm}^{-3}

Concentration of A in mol dm−3\text{mol dm}^{-3}

  1. Identify the mole ratio from the balanced chemical equation.

    The given equation is: H2Y+2NaOH→Na2Y+2H2O\text{H}_2\text{Y} + 2\text{NaOH} \rightarrow \text{Na}_2\text{Y} + 2\text{H}_2\text{O}
    From the equation, the mole ratio of acid (H2Y\text{H}_2\text{Y}) to base (NaOH\text{NaOH}) is nA:nB=1:2n_A : n_B = 1 : 2.

  2. Apply the titration formula to find the concentration of A.

    Given:
    Concentration of B (CBC_B) = 0.10 mol dm−30.10 \text{ mol dm}^{-3} (from b(i))
    Volume of B (VBV_B) = 25 cm325 \text{ cm}^3
    Volume of A (VAV_A) = 22.50 cm322.50 \text{ cm}^3 (assumed average titre from a)

    CAVACBVB=nAnB\frac{C_A V_A}{C_B V_B} = \frac{n_A}{n_B} CA=nAnB×CBVBVAC_A = \frac{n_A}{n_B} \times \frac{C_B V_B}{V_A} CA=12×0.10 mol dm−3×25 cm322.50 cm3C_A = \frac{1}{2} \times \frac{0.10 \text{ mol dm}^{-3} \times 25 \text{ cm}^3}{22.50 \text{ cm}^3} CA=12×2.522.50 mol dm−3C_A = \frac{1}{2} \times \frac{2.5}{22.50} \text{ mol dm}^{-3} CA=12×0.1111 mol dm−3C_A = \frac{1}{2} \times 0.1111 \text{ mol dm}^{-3} CA=0.0556 mol dm−3C_A = \boxed{0.0556 \text{ mol dm}^{-3}}

Part b(iii)

100.8 g mol−1100.8 \text{ g mol}^{-1}

Molar mass of H2Y\text{H}_2\text{Y}

  1. Use the mass concentration and molar concentration of A to find its molar mass.

    The concentration of A is given as 5.60 g dm−35.60 \text{ g dm}^{-3}.
    The concentration of A in mol dm−3\text{mol dm}^{-3} is 0.0556 mol dm−30.0556 \text{ mol dm}^{-3} (from b(ii)).

    Molar mass of H2Y=Mass concentrationMolar concentration\text{Molar mass of H}_2\text{Y} = \frac{\text{Mass concentration}}{\text{Molar concentration}} Molar mass of H2Y=5.60 g dm−30.05555... mol dm−3\text{Molar mass of H}_2\text{Y} = \frac{5.60 \text{ g dm}^{-3}}{0.05555... \text{ mol dm}^{-3}} Molar mass of H2Y=100.8 g mol−1\text{Molar mass of H}_2\text{Y} = \boxed{100.8 \text{ g mol}^{-1}}
Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp