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Question 4
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
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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}
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