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A 100-g block of iron metal and 100 g of water are each warmed to 75 °C and placed into

Chapter 3, Problem 90P

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QUESTION:

A 100-g block of iron metal and 100 g of water are each warmed to \(75\ ^{\circ}\mathrm{C}\) and placed into two identical insulated containers. Two hours later, the two containers are opened and the temperature of each substance is measured. The iron metal has cooled to \(38\ ^{\circ}\mathrm{C}\) while the water has cooled only to \(69\ ^{\circ}\mathrm{C}\). Explain.

Equation Transcription:

Text Transcription:

75 deg C

38 deg C

69 deg C

Questions & Answers

QUESTION:

A 100-g block of iron metal and 100 g of water are each warmed to \(75\ ^{\circ}\mathrm{C}\) and placed into two identical insulated containers. Two hours later, the two containers are opened and the temperature of each substance is measured. The iron metal has cooled to \(38\ ^{\circ}\mathrm{C}\) while the water has cooled only to \(69\ ^{\circ}\mathrm{C}\). Explain.

Equation Transcription:

Text Transcription:

75 deg C

38 deg C

69 deg C

ANSWER:

Solution 90P

Step 1:

The above statement can be explained with the help of the concept of specific heat. Specific heat is the amount of heat required per unit mass to raise the temperature by one degree celsius.

The specific heat of water is 4.184 J/g oC and that of iron metal is 0.450 J/g oC.

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