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Please go through the solution step by step, thanks in advance! The resistive-wi

ID: 1901711 • Letter: P

Question


Please go through the solution step by step, thanks in advance!

The resistive-wire thermometer of T=74.3 degrees (in resistance) is calibrated against a Hg thermometer. The resistance in terms of the temperature t on the Celsius scale can be optimally fitted by the expression R = R0(1 + alpha t + beta t2) where alpha = 3.80 Times 10-3 degree C-1 and beta = -3.00 Times 10-6 degree C-2. Which temperature t would the Hg thermometer measure at the probe? Explain the origin of any discrepancy between the two measurements.

Explanation / Answer

R0 = R0 (1+ at + bt^2 ) t not equal to zero t = -a/b = 1266.67 C