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EastWind
28 days ago
6

Suppose 550 g of water at 32 degrees * C is poured into a 210 - g aluminum can with an initial temperature of 15 degrees * C . F

ind the final temperature of the system, assuming that no thermal energy is exchanged with the surroundings.
Physics
1 answer:
Sav [3.1K]28 days ago
6 0
approximately 30.714 degrees Celsius. Assuming the specific heat of water is 4200 J/kg * K and for aluminum it is 900 J/kg * K; note that actual values may vary slightly with temperature. To increase the aluminum’s temperature by 1 K requires 900 J * (210 g / 1 kg) = 189 J. When the water cools by 1 K, it loses 189 J * (189 J / 4200 J) * (1 kg / 550 g) = 0.0(81) K. Thus, for every 1 K rise in the aluminum's temperature, the water's temperature decreases by 0.0(81) K. Given a temperature difference of (32°C - 15°C) = 17 K, we deduce that equilibrium will occur after 17 K / (1 K + 0.0(81) K) "steps", resulting in approximately 15.714 degrees Celsius. Therefore, the final temperature will be around 30.714 degrees Celsius.
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θ = 61.3°

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