Q = mcAT and Al = loaAT However, for questions one and two you will need to do some internet research. You will need to find various quantities for the materials in question i.e. thermal expansion coefficients, specific heats, melting points and colors at a specific temperature. (Notes: a. Pay attention to the units that you find for the numbers. b. There may be many types of the materials listed below so pick the values that seem appropriate to you. There is no one right answer). (1) Expansion of concrete A section of concrete which is 50 meters long experiences a temperature change from - 10 Celsius to 46 degrees Celsius. What is the expansion of the concrete?

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Answer Part 1

---

### Thermal Expansion and Heat Transfer

#### Key Equations:
\[
Q = mc\Delta T
\]
\[
\Delta l = l_0 \alpha \Delta T
\]

#### Instructions:
For questions one and two, you will need to do some internet research. You will need to find various quantities for the materials in question, i.e., thermal expansion coefficients, specific heats, melting points, and colors at a specific temperature. 

##### Notes:
a. Pay attention to the units that you find for the numbers.
b. There may be many types of materials listed below, so pick the values that seem appropriate to you. There is no one right answer. 

---

### Problem 1: Expansion of Concrete
A section of concrete 50 meters long experiences a temperature change from -10°C to 46°C. 

**Question**: What is the expansion of the concrete?

---

### Problem 2: Stainless Steel
A rod of stainless steel (Austenitic) of mass 20 kg has 12057984 Joules of heat added to it. Initial temperature is 22°C. The original length is 1 meter. 

**Questions**:
a. What is the expansion of this rod?
b. Does it melt?
c. What is the final color?

---

Instructions for research:
- Look up the thermal properties of concrete and austenitic stainless steel.
- Use the given equations to calculate expansion (\(\Delta l\)) and heat transfer (Q).
- Determine if the amount of heat added to the stainless steel rod is sufficient to cause it to melt.
- Identify the final color of the rod if it experiences extreme temperatures. 

---

This page is designed to help students develop practical research skills and apply theoretical knowledge to solve real-world problems related to thermal expansion and material properties.
Transcribed Image Text:--- ### Thermal Expansion and Heat Transfer #### Key Equations: \[ Q = mc\Delta T \] \[ \Delta l = l_0 \alpha \Delta T \] #### Instructions: For questions one and two, you will need to do some internet research. You will need to find various quantities for the materials in question, i.e., thermal expansion coefficients, specific heats, melting points, and colors at a specific temperature. ##### Notes: a. Pay attention to the units that you find for the numbers. b. There may be many types of materials listed below, so pick the values that seem appropriate to you. There is no one right answer. --- ### Problem 1: Expansion of Concrete A section of concrete 50 meters long experiences a temperature change from -10°C to 46°C. **Question**: What is the expansion of the concrete? --- ### Problem 2: Stainless Steel A rod of stainless steel (Austenitic) of mass 20 kg has 12057984 Joules of heat added to it. Initial temperature is 22°C. The original length is 1 meter. **Questions**: a. What is the expansion of this rod? b. Does it melt? c. What is the final color? --- Instructions for research: - Look up the thermal properties of concrete and austenitic stainless steel. - Use the given equations to calculate expansion (\(\Delta l\)) and heat transfer (Q). - Determine if the amount of heat added to the stainless steel rod is sufficient to cause it to melt. - Identify the final color of the rod if it experiences extreme temperatures. --- This page is designed to help students develop practical research skills and apply theoretical knowledge to solve real-world problems related to thermal expansion and material properties.
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