SATHEE: Chemical and Ionic Equilibrium

Chemical and Ionic Equilibrium - Result Question 121

####65. The $p H$ of blood stream is maintained by a proper balance of $H_{2} C O_{3}$ and $N a H C O_{3}$ concentrations. What volume of $5 M$ $N a H C O_{3}$ solution should be mixed with a $10 m L$ sample of blood which is $2 M$ in $H_{2} C O_{3}$ , in order to maintain a $p H$ of 7.4? $(K_{a}$ for $H_{2} C O_{3}$ in blood is $7.8 \times 10^{- 7}$ )

(1993, 2M)

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Solution:

Mixing $H_{2} C O_{3}$ with $N a H C O_{3}$ results in buffer solution.

$p H = p K_{a} + \log \frac{[N a H C O_{3}]}{[H_{2} C O_{3}]} = p K_{a} + \log \frac{n (N a H C O_{3})}{n (H_{2} C O_{3})}$

$\Rightarrow 7.4 = - \log (7.8 \times 10^{- 7}) + \log \frac{x}{20}$

$\Rightarrow x = 400 m m o l$

$N a H C O_{3} = 5 \times V \Rightarrow V = 80 m L$

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Chemical and Ionic Equilibrium - Result Question 121

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