While spending the summer on your uncle\'s horse farm, you spend a week apprenti

Question

While spending the summer on your uncle's horse farm, you spend a week apprenticing with his farrier (a person who makes and fits horseshoes). You observe the way he cools a shoe after pounding the hot, pliable shoe into the correct size and shape. Suppose a 875 g iron horseshoe is taken from the farrier's fire, shaped, and at a temperature of 650°C, dropped into a 29.5 L bucket of water at 10.0°C. What is the final temperature of the water after the horseshoe and water arrive at equilibrium? Neglect any heating of the bucket and any water that is boiled away as the hot iron enters the water. Assume the specific heat of iron is 460 J/(kg·K).

Explanation / Answer

let T is the final equilibrium temperature.

use, Heat lost by Iron = heat gained by water

m_Iron*C_Iron*(650 - T ) = m_water*C_water*(T - 10)

0.875*460*(650 - T) = 29.5*4186*(T - 10)

==> T = 12.08 degrees celsius

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