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 35.0 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 41.5° C. What was the temperature of the water before the insertion of the thermometer? (See Table 12.2 for appropriate constants.)
___° C?

Explanation / Answer

temperature. We can calculate the heat transferred to the thermometer by inserting the data: We must convert 26.8g to 0.0268kg Q=(0.0268)(825)(56.6-10.7) Q=1015 J We know that the heat had to come from somewhere, the water, therefore we can solve for the temperature. We know that the heat capacity of water is 4186 J/kg C. Therefore: Q=mcT Q/mc=T T is a change in temperature, therefore T=(t-56.6) t-56.6=1015/((0.0192)(4186) t-56.6=12.6 t=69.2 degrees C

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