temperature e in the range from 0 to 660°C. 1.6. When the ice point i and the steam point s were chosen as fixed points with 100 degrees between them in the original Celsius scale, the ideal-gas temperature of the ice point was written 100 O = ,-1' %3D where r, = lim (P/ P) at constant V. (a) Show that the fractional error in T produced by an error in r, is very nearly 3.73 times the fractional error in r,, or dT = 3.73 T dr, (b) Any ideal-gas temperature may be written T = Tr, %3D where r= lim (P/P) at constant V. Show that the fractional error in T is dT dr T dr; + 3.73- (c) Now that the single fixed point of the ideal-gas temperature is a universal con- stant, show that the fractional error in T is dT dr where r= lim (P/PTP) at constant P

temperature e in the range from 0 to 660°C. 1.6. When the ice point i and the steam point s were chosen as fixed points with 100 degrees between them in the original Celsius scale, the ideal-gas temperature of the ice point was written 100 O = ,-1' %3D where r, = lim (P/ P) at constant V. (a) Show that the fractional error in T produced by an error in r, is very nearly 3.73 times the fractional error in r,, or dT = 3.73 T dr, (b) Any ideal-gas temperature may be written T = Tr, %3D where r= lim (P/P) at constant V. Show that the fractional error in T is dT dr T dr; + 3.73- (c) Now that the single fixed point of the ideal-gas temperature is a universal con- stant, show that the fractional error in T is dT dr where r= lim (P/PTP) at constant P

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter16: Temperature And The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 50P

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