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When the ice point i and the steam point s were chosen as fixed points with 100 degrees between…

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

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Where rs = lim (Ps/Pi) at constant V.

(a) Show that the fractional error in Ti produced by an error in r, is very nearly 3.73 times the fractional error in rs, or

(b) Any ideal-gas http://pandawritings.com/take-an-ideal-monatomic-gas-around-the-carnot-cycle-where-t-h-600-k-and-t-l-300k-point-1-at/temperature may be written

Where r = lim (P/Pi) at constant V. Show that the fractional error in T is

(c) Now that the single fixed point of the ideal-gas temperature is a universal constant, show that the fractional error in T is

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