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

Question

Ideally, when a thermometer is used to measure the temperature of an object, the temperature of the object itself should not change. However, if a significant amount of heat flows from the object to the thermometer, the temperature will change. A thermometer has a mass of 26.9 g, a specific heat capacity of c = 808 J/(kg C°), and a temperature of 17.8 °C. It is immersed in 143 g of water, and the final temperature of the water and thermometer is 68.6 °C. What was the temperature of the water in degrees Celsius before the insertion of the thermometer?

Explanation / Answer

heat gained by thermometer = Mt*Ct*dT = 0.0269*808*(68.6-17.8) = 1104.15 J

heat lost by water = heat gained by thermometer

Mw*Cw*dT = 1104.15

0.143*4190*(T-68.6)=1104.15

T = 70.44

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