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 31.0 g, a specific heat capacity of c = 815 J/(kg

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 31.0 g, a specific heat capacity of c = 815 J/(kg · C degree ), and a temperature of 12.0 degree C. It is immersed in 119 g of water, and the final temperature of the water and thermometer is 39.2 degree C. What was the temperature of the water before the insertion of the thermometer? (See Table 12.2 for appropriate constants.)

Explanation / Answer

The thermometer will absorb a number of joules given by
Absorbed by thermo = 0.031kg x 815 j/kg/C deg x( 39.2-12.) C deg = 687.208 J

This will cool trhe water by

dT = 687.208/[ 119*4.184 ] = 1.38022C deg

So the water temperature before the thermometer was inserted is
T= 39.2+1.645= 40.580 C deg. before thermometer was inserted.

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