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Ideally, when a thermometer is used to measure the temperature of an object, the

ID: 1425142 • Letter: I

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 31.4 g, a specific heat capacity of c = 857 J/(kg C°), and a temperature of 11.8 °C. It is immersed in 114 g of water, and the final temperature of the water and thermometer is 67.9 °C. What was the temperature of the water in degrees Celsius before the insertion of the thermometer?

Explanation / Answer

the net energy is

Q net = Q( thermometer) + Q( water) = 0

MC delT + mC del T water= 0

del T water = - M C del T/ mC( water)

=-( 31.4 * 10^-3 kg) ( 857) ( 56.1)/0.114 ( 4186

=-3.163

Tf- Ti = -3.163

Ti = Tf + 3.163

=67.9 + 3.163

=71.063 C

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