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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 concentrations at equilibrium

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Answer

From the equilibrium expression, we have:

K_a = rac{[D^+][OD^-]}{[D_2O]} = 1.82 imes 10^{-16}

In a neutral solution, the concentration of D⁺ ions will equal the concentration of OD⁻ ions. Thus, we can denote both concentrations as 'x'. Therefore:

K_a = rac{x imes x}{[D_2O]} = rac{x^2}{[D_2O]}

Given that pure D₂O has a concentration approximately equal to 55.5 M and considering a small value of x (change in concentration due to ionisation), we can say:

1.82 imes 10^{-16} = rac{x^2}{55.5}

Step 2

Solve for x

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Answer

Rearranging the equation gives:

x2=1.82imes1016imes55.5x^2 = 1.82 imes 10^{-16} imes 55.5

Calculating:

x2=1.009imes1015x^2 = 1.009 imes 10^{-15}

Taking the square root:

x=extsqrt(1.009imes1015)x = ext{sqrt}(1.009 imes 10^{-15})

Thus:

oughly 1.00 imes 10^{-7}$$ This represents the concentration of D⁺ ions, which corresponds to option A. Therefore, the answer is:

Step 3

Conclusion

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Answer

The concentration of D⁺ in a neutral solution of pure D₂O at 25°C is:

A. 1.00 x 10⁷

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