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Answer: In lab you submerge 100 g of 40°C iron nails in
Chapter 16, Problem 5P(choose chapter or problem)
Problem 5P
In lab you submerge 100 g of 40°C iron nails in 100 g of 20°C water (the specific heat of iron is 0.12 cal/g°C.) (a) Equate the heat gained by the water to the heat lost by the nails and show that the final temperature of the water becomes 22.1°C. (b) Your lab partner is surprised by the result and says that since the masses of iron and water are equal, the final water temperature should lie closer to 30°C, half-way between. What is your explanation?
Questions & Answers
QUESTION:
Problem 5P
In lab you submerge 100 g of 40°C iron nails in 100 g of 20°C water (the specific heat of iron is 0.12 cal/g°C.) (a) Equate the heat gained by the water to the heat lost by the nails and show that the final temperature of the water becomes 22.1°C. (b) Your lab partner is surprised by the result and says that since the masses of iron and water are equal, the final water temperature should lie closer to 30°C, half-way between. What is your explanation?
ANSWER:
Solution 5P
(a) Let the final temperature be
Specific heat of water is
Initial temperature of water
Mass of water
Therefore, heat gained by water
…..(1)