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A) Isotopes are atoms of the same element that have the same number of protons (atomic number) but different numbers of neutrons (mass number). From the given data, the atomic number for element

Chemistry

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Answer

612K,613K,614K^{12}_{6}\text{K}, ^{13}_{6}\text{K}, ^{14}_{6}\text{K}

63.54

CH2\text{CH}_2

Step-by-step solution

6 steps
  1. a) Isotopes are atoms of the same element that have the same number of protons (atomic number) but different numbers of neutrons (mass number). From the given data, the atomic number for element K is 6. The isotopes of element K are:
612K,613K,614K\boxed{^{12}_{6}\text{K}, ^{13}_{6}\text{K}, ^{14}_{6}\text{K}}

b) To calculate the relative atomic mass of element A, we use the formula:

\text{Relative Atomic Mass} = \sum (\text{Isotope mass} \times \frac{\text{% abundance}}{100})
  1. Substitute the values for isotope A1.

    Contribution from A1=62.93×69.09100=62.93×0.6909=43.471837\text{Contribution from A1} = 62.93 \times \frac{69.09}{100} = 62.93 \times 0.6909 = 43.471837
  2. Substitute the values for isotope A2.

    Contribution from A2=64.93×30.91100=64.93×0.3091=20.069123\text{Contribution from A2} = 64.93 \times \frac{30.91}{100} = 64.93 \times 0.3091 = 20.069123
  3. Add the contributions to find the relative atomic mass.

    Relative Atomic Mass of A=43.471837+20.069123=63.54096\text{Relative Atomic Mass of A} = 43.471837 + 20.069123 = 63.54096

    Rounding to two decimal places:

    Relative Atomic Mass of A=63.54\text{Relative Atomic Mass of A} = \boxed{63.54}
    1. Step 1: Calculate the mass of carbon in 4.2 g of carbon (IV) oxide (CO2\text{CO}_2). Molar mass of C = 12.0 g/mol Molar mass of CO2=12.0+(2×16.0)=44.0 g/mol\text{CO}_2 = 12.0 + (2 \times 16.0) = 44.0 \text{ g/mol}
    Mass of C=Mass of C in CO2Molar mass of CO2×Mass of CO2\text{Mass of C} = \frac{\text{Mass of C in CO}_2}{\text{Molar mass of CO}_2} \times \text{Mass of CO}_2 Mass of C=12.044.0×4.2 g=0.2727×4.2 g≈1.1454 g\text{Mass of C} = \frac{12.0}{44.0} \times 4.2 \text{ g} = 0.2727 \times 4.2 \text{ g} \approx 1.1454 \text{ g}
  4. Calculate the mass of hydrogen in 1.71 g of water (H2O\text{H}_2\text{O}).

    Molar mass of H = 1.0 g/mol
    Molar mass of H2O=(2×1.0)+16.0=18.0 g/mol\text{H}_2\text{O} = (2 \times 1.0) + 16.0 = 18.0 \text{ g/mol}

    Mass of H=Mass of 2H in H2OMolar mass of H2O×Mass of H2O\text{Mass of H} = \frac{\text{Mass of 2H in H}_2\text{O}}{\text{Molar mass of H}_2\text{O}} \times \text{Mass of H}_2\text{O} Mass of H=2×1.018.0×1.71 g=2.018.0×1.71 g=0.1111×1.71 g≈0.1900 g\text{Mass of H} = \frac{2 \times 1.0}{18.0} \times 1.71 \text{ g} = \frac{2.0}{18.0} \times 1.71 \text{ g} = 0.1111 \times 1.71 \text{ g} \approx 0.1900 \text{ g}
  5. Calculate the moles of carbon and hydrogen.

    Moles of C=Mass of CMolar mass of C=1.1454 g12.0 g/mol≈0.09545 mol\text{Moles of C} = \frac{\text{Mass of C}}{\text{Molar mass of C}} = \frac{1.1454 \text{ g}}{12.0 \text{ g/mol}} \approx 0.09545 \text{ mol} Moles of H=Mass of HMolar mass of H=0.1900 g1.0 g/mol=0.1900 mol\text{Moles of H} = \frac{\text{Mass of H}}{\text{Molar mass of H}} = \frac{0.1900 \text{ g}}{1.0 \text{ g/mol}} = 0.1900 \text{ mol}
  6. Determine the simplest whole-number ratio of moles.

    Divide by the smallest number of moles (0.09545 mol).
    For C: 0.095450.09545=1\frac{0.09545}{0.09545} = 1
    For H: 0.19000.09545≈1.99≈2\frac{0.1900}{0.09545} \approx 1.99 \approx 2
    The ratio of C:H is approximately 1:2.
    The empirical formula of the hydrocarbon is CH2\boxed{\text{CH}_2}.

    1. i) To obtain pure water from a mixture of water and common salt, the best method is distillation.
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