3. We can calculate the work associated with one dynamic breathing cycle from th

Question

3. We can calculate the work associated with one dynamic breathing cycle from the figure below. In a first estimate, the area in the p-V diagram enclosed by the green curve (with four triangles as shown in grey) can be used. Such a calculation underestimates the absolute value of the work. In this problem, we want to perform a second estimate based on the red curve shown in the figure. Because this curve overestimates the absolute amount of work, the two calculations allow the researcher to develop a good feel for the true value. What is the absolute value of the work based on the red curve? p [kPa] +0.1 -0.1 3.0 V IL

Explanation / Answer

from the given diagram

area of the green curve Ag
Ag = 4*0.5*(3.5 - 3)*0.1/2] = 0.05

area of the red curve = Ar
Ar = 0.2*(3.5 - 3) = 0.1

hecne
the average of two will give us estimate of the work
W = (Ag + Ar)/2 = 0.075 kPa L = 75000 J

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