Solve according to chegg guidelines in two steps, with each step explanation along with final answer20. A system initially consists of 300 g of ice at 0 °C. How much thermal energy must be added to the system so that it becomes 300 g of . A. 50k] B. 25k] C. a Th
Question:
Solve according to chegg guidelines in two steps, with each step explanation along with final answer
20. A system initially consists of 300 g of ice at 0 °C. How much thermal energy must be added to the
system so that it becomes 300 g of .
A. 50k] B. 25k] C.
a Th
This is AI generated Response.
Asked by: Sunil kumar
Created at: 2025-06-29 07:47:50
Asked by: Sunil kumar
Created at: 2025-06-29 07:47:50
Final Answer:
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Let's solve the problem step by step as per Chegg guidelines:
---
**Given:**
- Mass of ice, \( m = 300\, \text{g} = 0.3\, \text{kg} \)
- Initial temperature = 0°C
- Final state: 300 g of water at 0°C
- Latent heat of fusion of ice, \( L_f = 334\, \text{kJ/kg} \)
---
### **Step 1: Understanding the Process**
To convert 300 g of ice at 0°C to 300 g of water at 0°C, only the phase change (melting) occurs; temperature does not change.
So, the heat required is for the phase change (melting) only.
---
### **Step 2: Calculating the Required Heat**
The heat required for melting:
\[
Q = m \times L_f
\]
\[
Q = 0.3\, \text{kg} \times 334\, \text{kJ/kg}
\]
\[
Q = 100.2\, \text{kJ}
\]
---
**Final Answer:**
\[
\boxed{100\, \text{kJ}}
\]
So, the answer is **D. 100 kJ**.
Question:
explanation for both step in words
This is AI generated Response.
Asked by: Sunil kumar
Created at: 2025-06-29 07:51:40
Asked by: Sunil kumar
Created at: 2025-06-29 07:51:40
Final Answer:
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Certainly! Here's the detailed explanation for both steps in words:
---
**Step 1: Understanding the process**
The problem involves converting ice at 0°C into water at 0°C. Since the temperature remains constant at 0°C, the only change happening is the phase change from ice to water. No additional heating is required to raise the temperature because the ice is already at 0°C and the final water is also at 0°C. Therefore, the energy needed is solely for melting the ice, which involves overcoming the latent heat of fusion.
---
**Step 2: Calculating the heat energy required**
The amount of heat needed to melt the ice is calculated using the formula:
\[ Q = m \times L_f \]
where:
- \( m \) is the mass of the ice (0.3 kg),
- \( L_f \) is the latent heat of fusion of ice (334 kJ/kg).
Multiplying these:
\[ Q = 0.3\, \text{kg} \times 334\, \text{kJ/kg} = 100.2\, \text{kJ} \]
Thus, approximately **100 kJ** of energy must be added to melt the ice completely into water at 0°C.
---
**Final note:** The correct choice based on this calculation is **D. 100 kJ**.
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