A patient in kidney failure has a buildup of urea in the blood to a concentration of 0.0200 M. In a hemodialysis unit, 500.0 mL of blood was removed from the patient and dialyzed against 8.250 L de dialysate solution containing no urea. Assuming the dialysis reached equilibrium, what will the molar (M) post-dialysis blood concentration of urea be when it is returned to the patient?

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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A patient in kidney failure has a buildup of urea in the blood to a concentration of 0.0200 M. In a hemodialysis unit, 500.0 mL of blood was removed from the patient and dialyzed against 8.250 L de dialysate solution containing no urea. Assuming the dialysis reached equilibrium, what will the molar (M) post-dialysis blood concentration of urea be when it is returned to the patient? 

Expert Solution
Step 1: Introduction

To calculate the post-dialysis blood concentration of urea, we can use the following equation:

C2 = C1 * V1 / (V1 + V2)

where:

  • C1 is the initial concentration of urea in the blood (0.0200 M)
  • V1 is the volume of blood removed from the patient (500.0 mL)
  • V2 is the volume of dialysate solution (8.250 L)
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