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Deuterium (symbol D) is an isotope of hydrogen - VCE - SSCE Chemistry - Question 4 - 2005 - Paper 1

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Deuterium (symbol D) is an isotope of hydrogen. Water made from deuterium has the symbol D₂O and has similar properties to normal water. D₂O ionises according to the... show full transcript

Worked Solution & Example Answer:Deuterium (symbol D) is an isotope of hydrogen - VCE - SSCE Chemistry - Question 4 - 2005 - Paper 1

Step 1

Calculate the equilibrium concentration of D⁺

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Answer

Given the equilibrium expression, we have:

Keeq=[D+][OD]Kₑₑq = [D⁺][OD⁻]

At neutral pH in D₂O, the concentrations of D⁺ and OD⁻ are equal. If we denote the concentration of D⁺ as xx, then:

Keeq=x2Kₑₑq = x^2

Substituting the given value of Keeq=1.82×1016Kₑₑq = 1.82 × 10^{-16},

x2=1.82×1016x^2 = 1.82 × 10^{-16}

Taking the square root:

x=extsqrt(1.82×1016)x = ext{sqrt}(1.82 × 10^{-16})

Calculating:

x1.35×108extMx ≈ 1.35 × 10^{-8} ext{ M}

Thus, the concentration of D⁺ is approximately 1.35×1081.35 × 10^{-8} M.

Therefore, the correct answer is B. 1.35 × 10⁻⁸.

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