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 37.0 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? (See Table 12.2 for appropriate constants.)

Explanation / Answer

m(water) = 119.0 g

C(water) = 4.184 J/goC

T(water) = to be calculated

m(thermo) = 37.0 g

T(thermo) = 12.0 oC

C(thermo) = 0.815 J/goC

T = 44.1 oC

We will be using heat conservation equation

use:

heat gained by thermo = heat lost by water

m(thermo)*C(thermo)*(T-T(thermo)) = m(water)*C(water)*(T(water)-T)

37.0*0.815*(12.0-44.1) = 119.0*4.184*(44.1-T(water))

T(water)= 46.0 oC

Answer: 46.0 oC

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