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Question 8 0.415 g of a pure acid, H2X(s), is added to exactly 100 mL of 0.105 M NaOH(aq) - VCE - SSCE Chemistry - Question 8 - 2008 - Paper 1

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Question 8 0.415 g of a pure acid, H2X(s), is added to exactly 100 mL of 0.105 M NaOH(aq). A reaction occurs according to the equation H2X(s) + 2 NaOH(aq) → Na2X(a... show full transcript

Worked Solution & Example Answer:Question 8 0.415 g of a pure acid, H2X(s), is added to exactly 100 mL of 0.105 M NaOH(aq) - VCE - SSCE Chemistry - Question 8 - 2008 - Paper 1

Step 1

the amount, in mol, of NaOH that is added to the acid H2X initially.

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Answer

To calculate the amount of NaOH added initially:

  1. Use the formula for calculating moles:

    n=C×Vn = C \times V

    where:

    • CC is the concentration of NaOH (0.105 M)
    • VV is the volume in liters (100 mL = 0.1 L)

    Thus,

    n(NaOH)=0.105×0.1=0.0105moln(NaOH) = 0.105 \times 0.1 = 0.0105 \, \text{mol}

Step 2

the amount, in mol, of NaOH that reacts with the acid H2X.

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Answer

Next, we find the amount of NaOH that reacts with the acid H2X.

  1. Calculate the moles of HCl used in neutralization:

    n(HCl)=C×Vn(HCl) = C \times V

    • Where C=0.197MC = 0.197 \, \text{M} and V=25.21mL=0.02521LV = 25.21 \, \text{mL} = 0.02521 \, \text{L}

    Thus,

    n(HCl)=0.197×0.02521=0.00497moln(HCl) = 0.197 \times 0.02521 = 0.00497 \, \text{mol}

  2. Since the reaction ratio is 1:2 (HCl:NaOH), the moles of NaOH that reacted:

    n(NaOH)=2×n(HCl)=2×0.00497=0.00994moln(NaOH) = 2 \times n(HCl) = 2 \times 0.00497 = 0.00994 \, \text{mol}

  3. Therefore, the amount of NaOH that reacts with H2X is:

    n(NaOH)reacting=0.01050.00497=0.00553moln(NaOH)_{reacting} = 0.0105 - 0.00497 = 0.00553 \, \text{mol}

Step 3

the molar mass, in g mol^-1, of the acid H2X.

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Answer

To find the molar mass of the acid H2X:

  1. Using the formula,

    M(H2X)=mnM(H2X) = \frac{m}{n}

    Where:

    • m=0.415gm = 0.415 \, \text{g}

    • n=2.765×103moln = 2.765 \times 10^{-3} \, \text{mol} (which is obtained from earlier)

    1. Thus,

    M(H2X)=0.4152.765×103=150.1g mol1M(H2X) = \frac{0.415}{2.765 \times 10^{-3}} = 150.1 \, \text{g mol}^{-1}

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