Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY

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Textbook Question
Chapter 3, Problem 1P

Because the pressure falls, water boils at a lower temperature with increasing altitude. Consequently, cake mixes and boiled eggs, among other foods, must be cooked different lengths of time. Determine the boiling temperature of water at 1000 and 2000 m elevation on a standard day, and compare with the sea-level value.

Expert Solution & Answer
To determine

The boiling temperature of water at 1000 and 2000 m elevation.

### Explanation of Solution

Determine the atmospheric pressure at the given altitudes from Table A.3, Appendix A.

 Elevation (m) (pp0) p(kPa) 0 1 101.3 1000 0.887 89.6 2000 0.7846 79.3

Check the steam tables for the variation of saturation temperature with pressure.

 p(kPa) Tsat*(°C) 70 90 80 93.5 90 96.7 101.3 100.0

Interpolate the data for elevation 1000 m.

p1p2T1T2=p3p1T3T180 kPa89.6 kPa93.5°CT@1000 m=90 kPa80 kPa96.7°C93.5°CT@1000 m=96.6°C

Interpolate the data for elevation 2000 m.

p1p2T1T2=p3p1T3T180 kPa79.3 kPa93.5°CT@2000 m=70 kPa80 kPa90°C93.5°CT@2000 m=93.2°C

Write the data to correlate saturation temperature with altitude.

 Elevation (m) (pp0) p(kPa) Tsat*(°C) 0 1 101.3 100 1000 0.887 89.6 96.6 2000 0.7846 79.3 93.2

The saturation temperature drops about 3.4°C/1000 m_.

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