Answer to Question #97313 in Atomic and Nuclear Physics for Emmanuel

Question #97313
The lengths of the mercury column of a mercury thermometer are 1.26cm and 20.86cm respectively at the standard fixed points. What is the temperature of body, which produces 9.0cm of this mercury column?
1
Expert's answer
2019-10-28T10:54:51-0400

If this this a thermometer calibrated in Celsius degrees, the first standard fixed point (the lowest one) corresponds to 0°C and the second (the highest) to 100°C. Therefore, we can write for temperature elongation of mercury:


"20.86-1.26=k(100-0),\\\\\nk=0.196\\text{ cm\/\u00b0C}."


Now all we have to do is to repeat this for the readings (9 cm):


"H-1.26=k(T-0),\\\\\n9-1.26=0.196(T-0),\\\\\nT=39.49\\text{\u00b0C}."


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