Ideally, when a thermometer is used to measure the temperature ofan object, the

Question

Ideally, when a thermometer is used to measure the temperature ofan object, the temperature of the object itself should not change.However, if a significant amount of heat flows from the object tothe thermometer, the temperature will change. A thermometer has amass of 33.4 g, a specific heat capacity of c = 832 J/(kgC°), and a temperature of 19.2 °C. It is immersed in 145 gof water, and the final temperature of the water and thermometer is67.8 °C. What was the temperature of the water in degreesCelsius before the insertion of the thermometer?

Explanation / Answer

You first find the energy of each by using E=mc*delta T
so for the thermometer (33.4 g)(832J/(kg*degrees C))(67.8 degreesC-19.2 degrees C) for the water (145 g)(4186 J/(kg* degrees C))(67.8 degrees C-x degrees C) so then you make the energies equal ands solve for x to findthe initial temperature of the water: (33.4 g)(832J/(kg*degrees C))(67.8 degrees C-19.2 degreesC) = (145 g)(4186 J/(kg* degrees C)(67.8 degrees C-x degrees C)

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