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 27.0 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 42.0° C. What was the temperature of the water before the insertion of the thermometer? (See Table 12.2 for appropriate constants.)

Explanation / Answer

Mtherm = 0.027 kg

C Therm = 815 J/kg.C

T1 = 12 C

Mw = 0.119 kg

Cw = 4182 J/kg.C

T = ?

heat lost = heat gained

Mt*Ct*(42-12) = Mw*Cw*(T - 42)

0.027 *815 *30 = 0.119 *4182 *(T-42

T = 43.33 C

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