Chapter 6.1, Problem 15E

To determine

The area under the dye concentration curve and to estimate the patient’s cardiac output.

Answer to Problem 15E

The patient’s cardiac output is 6.7 L/min

Explanation of Solution

Given information:

The dye concentration cardiac output is determined by the following table as,

  

Formula used:

  $\text{patient's}\text{cardiac}\text{output}=\frac{\text{mg}\text{of}\text{dye}}{\text{units}\text{of}\text{area}\text{under}\text{curve}}$

Calculation:

Obtain the cardiac output by dividing the amount of dye injected by the area under the curve. The rectangles can be drawn and estimate their heights from the graph, but here there is no need to measure the height because data has been given in the tabular form in question For LRAM use left-hand point of interval and take the value at that point.

For LRAM-

  

  $\begin{array}{l}\text{patient's}\text{cardiac}\text{output}=\frac{\text{mg}\text{of}\text{dye}}{\text{units}\text{of}\text{area}\text{under}\text{curve}}\\ \text{patient's}\text{cardiac}\text{output}=\frac{5\text{mg}}{44.8\left(\text{mg/L}\right).\sec }\times \frac{60\sec }{1\min }\\ \text{patient's}\text{cardiac}\text{output}=6.7\text{L/min}\end{array}$

Conclusion:

The patient’s cardiac output is 6.7 L/min