The kinetic theory of gases predicts that the thermal conductivity of a gas equals the product of the heat capacity at constant volume times the viscosity; this theory also predicts that the viscosity varies as the square root of temperature and is independent of pressure. For CO, at 1 atm and 273.15 K, the following dat a are available: Cy = 0.640 kJ kg-' K- %3D u = 1.38 x 10-³ N sm-2 k= 0.01435 Wg'K-' Assuming that c, is proportional to the first power of absolute temperature, estimate k at 300 K and 1 atm. Find the percent error of your estimate based on the literature value of 0.01655 W m-' K¯'.

The kinetic theory of gases predicts that the thermal conductivity of a gas equals the product of the heat capacity at constant volume times the viscosity; this theory also predicts that the viscosity varies as the square root of temperature and is independent of pressure. For CO, at 1 atm and 273.15 K, the following dat a are available: Cy = 0.640 kJ kg-' K- %3D u = 1.38 x 10-³ N sm-2 k= 0.01435 Wg'K-' Assuming that c, is proportional to the first power of absolute temperature, estimate k at 300 K and 1 atm. Find the percent error of your estimate based on the literature value of 0.01655 W m-' K¯'.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

2.26. The kinetic theory of gases predicts that the thermal conductivity of a gas equals
the product of the heat capacity at constant volume times the viscosity; this
theory also predicts that the viscosity varies as the square ot of temperature and
is independent of pressure. For CO, at 1 atm and 273.15 K, the following dat a
available:
are
Cy = 0.640 kJ kg-' K-
H = 1.38 x 10-S N sm-2
k= 0.01435 Wg'K-
Assuming that q, is proportional to the first power of absolute temperature,
estimate k at 300 K and 1 atm. Find the percent error of your estimate based on
the literature value of 0.01655 W m-' K-'.

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