Question

A 29 g aluminum spoon (specific heat 0.904 j/g·°c) at 25°c is placed in 185 ml (184 g) of coffee at 80.°c and the temperature of the two become equal. What is the final temperature when the two become equal? Assume that coffee has the same specific heat as water.

Answer 1

To find the final temperature when the aluminum spoon and coffee reach thermal equilibrium, we can use the principle of energy conservation. The equation (mass of spoon) * (specific heat of spoon) * (final temperature - initial temperature of spoon) = (mass of coffee) * (specific heat of coffee) * (final temperature - initial temperature of coffee) can be used to solve for the final temperature.

Step-by-step explanation:

To find the final temperature when the aluminum spoon and coffee reach thermal equilibrium, we can use the principle of energy conservation. The energy gained by the aluminum spoon equals the energy lost by the coffee. The equation that represents this principle is:

(mass of spoon) * (specific heat of spoon) * (final temperature - initial temperature of spoon) = (mass of coffee) * (specific heat of coffee) * (final temperature - initial temperature of coffee)

Substituting the given values:

(29 g) * (0.904 J/g·°C) * (final temperature - 25°C) = (184 g) * (4.18 J/g·°C) * (final temperature - 80°C)

Solving this equation will give us the final temperature when the two become equal.