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  3. problem 2 20 points consider a mercury thermometer with no...

Question: problem 2 20 points consider a mercury thermometer with no...

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Problem 2 (20 points) Consider a mercury thermometer with no marking on it as a temperature scale. The thermometer is first inserted in a mixture of melting ice. When the thermometer reaches thermal equilibrium with the mixture, the mercury shows a height of Z, and is marked as Ti. Next the same thermometer is inserted in boiling water, when there is a thermal equilibrium between the thermometer and the boiling water, the mercury reaches a level of Z2. where we mark it as T Given the linear relation T=a+bZ a) Find the coefficients a and b in equation ( 1) in terms of Z, Z2. Ti and T2 and substitute them back into Eq. (1) Use the results of part (a) to develop a relationship for the following temperature scales: b) Temperature scale Ti (melting ice) 0 32 273 492 50 T:(boiling water) 100 212 373 672 450
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