Due on Wednesday, February 10, 2016 1.The length of the mercury column in a merc

Question

Due on Wednesday, February 10, 2016 1.The length of the mercury column in a mercury-in-glass thermometer is 30 cm when the thermometer is immersed in a triple point cell. Consider the length of the mercury column as the thermometric property. (a) Calculate the empirical temperature when the length of the mercury column is 50cm. (b) What should the length of the mercury column be at the triple point (TP) temperature of oxygen, i.e., 54.3584 K? 2. A thermal electric potential (voltage), E, is generated when the two junctions of a thermocouple are at different temperatures. When one junction is held at the ice point and the other junction is at a Celsius temperature of T, the voltage (thermometric property) is given by: =aT + bT,2 Ilivolts. Calculate the constants a and b for a thermocouple reading where is in millivolts. Calculate the constants a and b for a thermocou 20 mV at 50 and 30 mV at of 10 mV? at 50 C and 30 mV at 100'C. What temperature corresponds to a reading

Explanation / Answer

1)    a) empirical temperature when length of mercury column is 50 cm = 273.16 *50/30

                                                                                                                    = 455.26 K

         b) length of mercury column at triple point of oxygen =    54.3584 * 30/273.16

                                                                                                = 5.97 cm

2)     Here,    20 = 50 *a + 2500*b

   and ,          30 =   100*a + 10000*b

    =>    a = 0.5 mV/0C          and   b = - 0.002 mV/0C2

For, 10 mV   ,         10 = 0.5T - 0.002T2

=>    T = 21.92    degree celsius

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