A brass cylinder has a cross-sectional area of 482 cm² at -5 °C. Find its change in area when heated to 95 °C. The coefficient of thermal expansion for brass is 1.9 x 10-5/°C.
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 Statement:
A brass cylinder has a cross-sectional area of 482 cm² at -5 °C. Find its change in area when heated to 95 °C. The coefficient of thermal expansion for brass is 1.9 x 10⁻⁵ /°C.
### Explanation:
This problem requires the application of the formula for the change in area due to thermal expansion. The change in area \( \Delta A \) can be calculated using the formula:
\[
\Delta A = A_0 \cdot \beta \cdot \Delta T
\]
where:
- \( A_0 \) is the initial area (482 cm²).
- \( \beta \) is the coefficient of linear expansion, given as \( 1.9 \times 10^{-5} \, \text{°C}^{-1} \). Note that for area expansion, you need to use twice the linear expansion coefficient.
- \( \Delta T \) is the change in temperature (95 °C - (-5) °C = 100 °C).
By substituting the values into the formula, the change in area can be calculated.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc463f08e-ec7e-4810-a9a2-5563bca4d00b%2F4a522b47-ef3a-4f29-9cc0-1a2069da33ca%2F83embqj_processed.jpeg&w=3840&q=75)
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