A 200 g piece of iron is heated to 100°C. It is then dropped into water to bring its temperature down to 22°C. What is the amount of heat transferred to water? (ciron = 0.444 J/g°C)

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Physics

Francisco Ibarra

7 September, 01:59

A 200 g piece of iron is heated to 100°C. It is then dropped into water to bring its temperature down to 22°C. What is the amount of heat transferred to water? (ciron = 0.444 J/g°C)

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Sebastian Mathis · Answer 1

The amount of heat transferred to water is equal to the amount of heat that is lost by the piece of iron dropped to it. To solve for the quantity of the heat in either direction, we use the equation,

H = mcpdT

where H is heat, m is mass, cp is the specific gravity, and dT is the change in temperature. Substituting,

H = (200g) (0.444 J/g°C) (100°C - 22°C)

H = 6926.4 J

Thus, the heat lost by the piece of iron is approximately 6926.4 J.