TE-2 At 175 'C, a brass plate completely fills a frame which has dimensions 2.38 m by 1.67 m. Ignoring the thermal expansion of the frame, to what temperature would the brass plate need to be cooled so that it only fills 99.5% area of the frame? 2.38 m brass plate in the frame at 175 °C 1.67 for brass, a = 19.0x10-6 °C-1 m
Energy transfer
The flow of energy from one region to another region is referred to as energy transfer. Since energy is quantitative; it must be transferred to a body or a material to work or to heat the system.
Molar Specific Heat
Heat capacity is the amount of heat energy absorbed or released by a chemical substance per the change in temperature of that substance. The change in heat is also called enthalpy. The SI unit of heat capacity is Joules per Kelvin, which is (J K-1)
Thermal Properties of Matter
Thermal energy is described as one of the form of heat energy which flows from one body of higher temperature to the other with the lower temperature when these two bodies are placed in contact to each other. Heat is described as the form of energy which is transferred between the two systems or in between the systems and their surrounding by the virtue of difference in temperature. Calorimetry is that branch of science which helps in measuring the changes which are taking place in the heat energy of a given body.
![**Problem: Thermal Expansion of Brass Plate**
**Scenario:** At 175°C, a brass plate completely fills a frame with dimensions 2.38 m by 1.67 m. Ignoring the thermal expansion of the frame, to what temperature would the brass plate need to be cooled so that it only fills 99.5% of the area of the frame?
**Given Data:**
- Dimensions of frame:
- Length: 2.38 m
- Width: 1.67 m
- Thermal expansion coefficient for brass, \( \alpha = 19.0 \times 10^{-6} \, \text{°C}^{-1} \)
**Visual Explanation:**
The diagram accompanying the text shows a rectangular frame with dimensions labeled:
- **Length:** 2.38 m (horizontal dimension)
- **Width:** 1.67 m (vertical dimension)
The brass plate is represented by a yellow rectangle completely filling the black-bordered frame. The problem asks for the temperature change required for the brass plate to fill 99.5% of the frame’s area.
This problem involves calculating the reduction in temperature needed for the desired change in the plate's area, taking into account the linear expansion properties of brass.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05419715-1bd0-4457-a143-03af22167dbf%2F575428b3-7a30-4fcf-939e-f0de6b956abf%2F5quh1g5_processed.jpeg&w=3840&q=75)
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