Fundamentals of Thermal-Fluid Sciences
Fundamentals of Thermal-Fluid Sciences
5th Edition
ISBN: 9780078027680
Author: Yunus A. Cengel Dr., Robert H. Turner, John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 2, Problem 54P
To determine

The systolic and diastolic pressures of the healthy person in kPa, psi, and in meter water column.

Expert Solution & Answer
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Explanation of Solution

Given:

Height of the systolic pressure of the healthy person (hhigh) is 120mmHg.

Height of the diastolic pressure of the healthy person (hlow) is 80mmHg.

Density of the mercury (ρmercury) is 13600kg/m3.

Density of the water (ρwater) is 1000kg/m3.

Acceleration due to gravity is (g)9.81m/s2.

Calculation:

Calculate the systolic pressure of the healthy person in kPa(Phigh).

  Phigh=ρmercuryghhigh=(13600kg/m3)(9.81m/s2)(120mmofHg)=(13600kg/m3)(9.81m/s2)(120mmofHg×1mofHg1000mmofHg)=(13600kg/m3)(9.81m/s2)(0.120m)(1N1kgm/s2)(1kPa1000N/m2)=16.0kPa

Thus, the systolic pressure of the healthy person in kPa is 16.0kPa_.

Calculate the diastolic pressure of the healthy person in kPa(Plow).

  Plow=ρmercuryghlow=(13600kg/m3)(9.81m/s2)(80mmofHg)=(13600kg/m3)(9.81m/s2)(80mmofHg×1mofHg1000mmofHg)=(13600kg/m3)(9.81m/s2)(0.080m)(1N1kgm/s2)(1kPa1000N/m2)=10.7kPa

Thus, the diastolic pressure of the healthy person in kPa is 10.7kPa_.

Calculate the systolic pressure of the healthy person in psi(Phigh).

  Phigh=16.0kPa=16.0kPa×1psi6.895kPa=2.32psi

Thus, the systolic pressure of the healthy person in psi is 2.32psi_.

Calculate the diastolic pressure of the healthy person in psi(Plow).

  Plow=10.7kPa=10.7kPa×1psi6.895kPa=1.55psi

Thus, the diastolic pressure of the healthy person in psi is 1.55psi_.

Calculate the height of the systolic pressure of the healthy person in m water column (hhigh).

  hwater, high=ρmercuryρwaterhhigh=(13,600kg/m31000kg/m3)(0.120m)=1.63m

Thus, the height of the systolic pressure of the healthy person in m water column is 1.63m_.

Calculate the height of the diastolic pressure of the healthy person in m water column (hlow).

  hwater, low=ρmercuryρhlow=(13,600kg/m31000kg/m3)(0.080m)=1.09m

Thus, the height of the diastolic pressure of the healthy person in m water column is 1.09m_.

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Chapter 2 Solutions

Fundamentals of Thermal-Fluid Sciences

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