We read your photo as:

Calculate the percentage abundance of Lithium-6 and Lithium-7 given their relative atomic mass is 6.94.

Chemistry

ScanSolve AI Answer

Step-by-step solution

7 steps
  1. Set up the equation for relative atomic mass.

    Let xx be the percentage abundance of Lithium-6.
    Then the percentage abundance of Lithium-7 will be (100−x)(100 - x).
    The formula for relative atomic mass (Ar) is:

    Ar=(mass of isotope 1×abundance 1)+(mass of isotope 2×abundance 2)100Ar = \frac{(\text{mass of isotope 1} \times \text{abundance 1}) + (\text{mass of isotope 2} \times \text{abundance 2})}{100}

    Given:
    Ar = 6.94
    Mass of Lithium-6 = 6
    Mass of Lithium-7 = 7

  2. Substitute the given values into the formula.

    6.94=(6×x)+(7×(100−x))1006.94 = \frac{(6 \times x) + (7 \times (100 - x))}{100}
  3. Solve for xx.

    Multiply both sides by 100:

    6.94×100=6x+7(100−x)6.94 \times 100 = 6x + 7(100 - x) 694=6x+700−7x694 = 6x + 700 - 7x 694=700−x694 = 700 - x

    Subtract 700 from both sides:

    694−700=−x694 - 700 = -x −6=−x-6 = -x x=6x = 6
  4. Determine the percentage abundance of each isotope.

    Percentage abundance of Lithium-6 = x=6%x = 6\%
    Percentage abundance of Lithium-7 = 100−x=100−6=94%100 - x = 100 - 6 = 94\%

    The percentage abundance of Lithium-6 is 6%\boxed{\text{}6\%\text{}} and Lithium-7 is 94%\boxed{\text{}94\%\text{}}.


    :

  5. Set up the equation for relative atomic mass.

    The formula for relative atomic mass (Ar) is:

    Ar=(mass of isotope 1×abundance 1)+(mass of isotope 2×abundance 2)100Ar = \frac{(\text{mass of isotope 1} \times \text{abundance 1}) + (\text{mass of isotope 2} \times \text{abundance 2})}{100}

    Given:
    Ar = 30
    Abundance of isotope 1 = 65%
    Mass number of isotope 1 = xx
    Abundance of isotope 2 = 35%
    Mass number of isotope 2 = 31

  6. Substitute the given values into the formula.

    30=(x×65)+(31×35)10030 = \frac{(x \times 65) + (31 \times 35)}{100}
  7. Solve for xx.

    Multiply both sides by 100:

    30×100=65x+(31×35)30 \times 100 = 65x + (31 \times 35) 3000=65x+10853000 = 65x + 1085

    Subtract 1085 from both sides:

    3000−1085=65x3000 - 1085 = 65x 1915=65x1915 = 65x

    Divide by 65:

    x=191565x = \frac{1915}{65} x=29.46x = 29.46

    Since mass numbers are typically whole numbers, we can round this to the nearest whole number.

    x≈29x \approx 29

    The mass number represented by xx is approximately 29\boxed{\text{}29\text{}} (or 29.46 if not rounded).

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