**Problem: Calculating Minimum Electrical Energy for Freezing Water**A container holding 4.20 kg of water at 20.0°C is placed in a freezer that is kept at -20.0°C. The water freezes and comes to thermal equilibrium with the interior of the freezer. What is the minimum amount of electrical energy required by the freezer to do this if it operates between reservoirs at temperatures of 20.0°C and -20.0°C?(Latent heat of fusion of ice = 333,700 J/kg, specific heat capacity of water = 4186 J/(kg·K), specific heat capacity of ice = 2100 J/(kg·K)).[_____] kJ**Explanation:**To solve this problem, the following steps must be considered:1. **Cooling Water from 20.0°C to 0°C:** - Use the specific heat capacity of water to calculate the energy needed to cool the water to 0°C.2. **Freezing Water at 0°C:** - Calculate the energy needed to change the state of water from liquid to solid using the latent heat of fusion.3. **Cooling Ice from 0°C to -20.0°C:** - Use the specific heat capacity of ice to determine the energy required to cool the ice to -20°C.4. **Total Energy Required:** - Sum the energy values calculated in steps 1, 2, and 3.5. **Efficiency Consideration:** - Consider the efficiency of the freezer operating between the given temperature reservoirs to find the minimum electrical energy required. The solution to this problem involves applying these thermodynamic principles and calculations.

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A container holding 4.20 kg of water at 20.0°C is placed in a freezer that is kept at -20O.0°C. The water freezes and comes to thermal equilibrium with the interior of the freezer. What is the minimum amount of electrical energy required by the freezer to do this if it operates between reservoirs at temperatures of 20.0°C and -20.0°C? (Latent heat of fusion of ice = 333,700 J/ kg, specific heat capacity of water = 4186 J/(kg-K), specific heat capacity of ice = 2100 J/(kg- K)). |kJ

A container holding 4.20 kg of water at 20.0°C is placed in a freezer that is kept at -20O.0°C. The water freezes and comes to thermal equilibrium with the interior of the freezer. What is the minimum amount of electrical energy required by the freezer to do this if it operates between reservoirs at temperatures of 20.0°C and -20.0°C? (Latent heat of fusion of ice = 333,700 J/ kg, specific heat capacity of water = 4186 J/(kg-K), specific heat capacity of ice = 2100 J/(kg- K)). |kJ

College Physics

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

**Problem: Calculating Minimum Electrical Energy for Freezing Water**

A container holding 4.20 kg of water at 20.0°C is placed in a freezer that is kept at -20.0°C. The water freezes and comes to thermal equilibrium with the interior of the freezer. What is the minimum amount of electrical energy required by the freezer to do this if it operates between reservoirs at temperatures of 20.0°C and -20.0°C?

(Latent heat of fusion of ice = 333,700 J/kg, specific heat capacity of water = 4186 J/(kg·K), specific heat capacity of ice = 2100 J/(kg·K)).

[_____] kJ

**Explanation:**

To solve this problem, the following steps must be considered:

1. **Cooling Water from 20.0°C to 0°C:**
- Use the specific heat capacity of water to calculate the energy needed to cool the water to 0°C.

2. **Freezing Water at 0°C:**
- Calculate the energy needed to change the state of water from liquid to solid using the latent heat of fusion.

3. **Cooling Ice from 0°C to -20.0°C:**
- Use the specific heat capacity of ice to determine the energy required to cool the ice to -20°C.

4. **Total Energy Required:**
- Sum the energy values calculated in steps 1, 2, and 3.

5. **Efficiency Consideration:**
- Consider the efficiency of the freezer operating between the given temperature reservoirs to find the minimum electrical energy required.

The solution to this problem involves applying these thermodynamic principles and calculations.

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I have got variations in answers when I have asked this question. I have got answers anywhere from 75000 J, 6079.5 J to 74919 J and -6.221kJ. I need to know the correct answer for this I am hopelessly confused.