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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

100%

ågainst Celsius temperature 6 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
where r; = lim (P;/ Pi) 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
drs
3.73
dT
(b) Any ideal-gas temperature may be written
T = T;r,
where r= lim (P/P;) at constant V. Show that the fractional error in T is
dT dr
+3.73 dr,
(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
%3D
T
where r= lim (P/Ptp) at constant V.
17
The lon

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