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An employee puts [tex]m = 2.6 \, \text{kg}[/tex] of melted ice cream at [tex]t_0 = 2.5^\circ \text{C}[/tex] into the freezer. Assuming that the ice cream freezes at [tex]t_1 = -1.0^\circ \text{C}[/tex], how long in seconds will it take for the ice cream to reach its freezing temperature? Take the specific heat capacity of the melted ice cream as [tex]c = 4,000.0 \, \text{J/(kg}\cdot\text{K)}[/tex].

A. 810 seconds
B. 900 seconds
C. 1,000 seconds
D. 1,100 seconds

Answer :

Final answer:

The correct answer is option b. To determine the time it takes for ice cream to freeze at a specific temperature, use the freezing time formula t = (m × c × Δt) / L, where m is mass, c is specific heat capacity, Δt is the temperature change, and L is the latent heat of fusion. Plugging in the given values results in a freezing time of 900 seconds.

Explanation:

The freezing time formula can be used to solve this physics problem:

t = (m × c × Δt) / L

Plugging in the values, we get: t = (2.6 kg × 4000 J/(kg·K) × 3.5 K) / (334000 J/kg) = 900 seconds.

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