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The pH of blood stream is maintained by a proper balance of H 2 C O 3 and N a H C O 3 concentration. What volume of 5 M N a H C O 3 solution should be mixed with a 10 mL sample of blood which is 2 M in H 2 C O 3 in order to maintain its pH of 7.4? [ p K a for H 2 C O 3 = 6.1 ] 1 0 1.3 = 19.9

Options

  1. A40 mL
  2. B38 mL
  3. C50 mL
  4. D79 mL

Correct answer

D. 79 mL

Step-by-step solution

p H = p K a + l o g HCO 3 - H 2 CO 3 Moles of H 2 CO 3 presenting blood sample = 2 × 0.01 = 0.02 Let V mL of N a H C O 3 is required = 5 × V = 5 V So p H = p K a + l o g 5 V 0.02 7.4 = 6.1 + l o g 5 V 0.02 V = 79 mL

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