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 34.0 g, a specific heat capacity of c = 815 J/(kg · C°), and a temperature of 12.0° C. It is immersed in 119 g of water, and the final temperature of the water and thermometer is 44.1° C. What was the temperature of the water before the insertion of the thermometer? Use 4186 J/kg as specific heat constant for water.

Explanation / Answer

m1 =34 g, C= 815 J/kg.oC, T1 =12 oC

m2 =119 g, C =4186 J/kgoc

Hea gain by thermometer = heat lost by water

0.034*815*(44.1-12) = - 0.119*4186(44.1 - T)

initial temperature of water T =45.9 oC

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