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 36.0 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 is38.2° C. What was the temperature of the water before the insertion of the thermometer? (See Table 12.2 for appropriate constants.)
° C

Explanation / Answer

m1 =36 g , T1 = 12 oC, C =815 J/kg oC

m2 =119 g , Tf = 38.2 oC, C = 4186 J/kg oC

Al equllibrium final temperature of water , thermometer will be same

Heat gain by thermometer = Heat lost by water

m1C*(Tf -T1) = -m2C*(Tf -T2)

(0.036)*815*(38.2 -12) = -(0.119*4186*(38.2 - T2)

initial temperature of water T2 = 39.74 oC

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