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Methods of Heat Transfer and Specific Heat Calculations

Learn 3 heat transfer methods - conduction, convection, radiation. Explore specific heat concept, calculation formulas for heat transfer, and calorimetry. Understand thermal energy flow dynamics.

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Methods of Heat Transfer and Specific Heat Calculations

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  1. February 22nd, 2016 • Distinguish between 3 methods of transferring heat. • Define Specific Heat • Calculate heat transfer

  2. Section Temperature and Thermal Energy 12.1 Heat and the Flow of Thermal Energy • When two objects come in contact with each other, they transfer energy. • The energy that is transferred between objects when they come in contact is called heat. • The symbol Q is used to represent an amount of heat, which like other forms of energy is measured in joules. • If Q has a negative value, heat has left the object; if Q has a positive value, heat has been absorbed by the object.

  3. Section Temperature and Thermal Energy 12.1 Conduction • If you place one end of a metal rod in a flame, the hot gas particles in the flame conduct heat to the rod. • The other end of the rod also becomes warm within a short period of time. • Heat is conducted because the particles in the rod are in direct contact with each other.

  4. Section Temperature and Thermal Energy 12.1 Convection • Thermal energy transfer can occur even if the particles in an object are not in direct contact with each other. • Have you ever looked into a pot of water just about to boil? • The water at the bottom of the pot is heated by conduction and rises to the top, while the colder water at the top sinks to the bottom.

  5. Section Temperature and Thermal Energy 12.1 Convection • Heat flows between the rising hot water and the descending cold water. • This motion of fluid in a liquid or gas caused by temperature differences is called convection. • Thunderstorms are excellent examples of large-scale atmospheric convection.

  6. Section Temperature and Thermal Energy 12.1 Radiation • The third method of thermal transfer does not depend on the presence of matter. • The Sun warms Earth from over 150 million km away via radiation, which is the transfer of energy by electromagnetic waves. • These waves carry the energy from the hot Sun to the much-cooler Earth.

  7. Section Temperature and Thermal Energy 12.1 Specific Heat • Some objects are easier to heat than others. • When heat flows into an object, its thermal energy and temperature increase. • The amount of the increase in temperature depends on the size of the object, and on the material from which the object is made. • The specific heat of a material is the amount of energy that must be added to the material to raise the temperature of a unit mass by one temperature unit. • In SI units, specific heat, represented by C, is measured in J/kgK.

  8. Section Temperature and Thermal Energy 12.1 Specific Heat • Liquid water has a high specific heat compared to the specific heat of other substances. • A mass of 1 kg of water requires 4180 J of energy to increase its temperature by 1 K. The same mass of copper requires only 385 J to increase its temperature by 1 K.

  9. Section Temperature and Thermal Energy 12.1 Specific Heat • The heat gained or lost by an object as its temperature changes depends on the mass, the change in temperature, and the specific heat of the substance. • By using the following equation, you can calculate the amount of heat, Q, that must be transferred to change the temperature of an object. Heat Transfer Q = mCΔT = mC (Tf – Ti) • Heat transfer is equal to the mass of an object times the specific heat of the object times the difference between the final and initial temperatures.

  10. Section Temperature and Thermal Energy 12.1 Calorimetry: Measuring Specific Heat Click image to view the movie.

  11. Section Temperature and Thermal Energy 12.1 Calorimetry: Measuring Specific Heat • In an isolated, closed system, the change in thermal energy is equal to the heat transferred because no work is done. • Therefore, the change in energy for each block can be expressed by the following equation: ΔE= Q = mCΔT • The increase in thermal energy of block A is equal to the decrease in thermal energy of block B. Thus, the following relationship is true: mACAΔTA+mBCBΔTB= 0

  12. Section Temperature and Thermal Energy 12.1 Calorimetry: Measuring Specific Heat • The change in temperature is the difference between the final and initial temperatures; that is, ΔT = Tf– Ti. • If the temperature of a block increases, Tf>Ti, and ΔT is positive. If the temperature of the block decreases, Tf <Ti, and ΔT is negative. • The final temperatures of the two blocks are equal. The following is the equation for the transfer of energy: mACA(Tf– TA)+mBCB(Tf– TB)= 0

  13. Section Temperature and Thermal Energy 12.1 Transferring Heat in a Calorimeter A calorimeter contains 0.50 kg of water at 15°C. A 0.040-kg block of zinc at 115°C is placed in the water. What is the final temperature of the system?

  14. Section Temperature and Thermal Energy 12.1 Transferring Heat in a Calorimeter Step 1:Analyze and Sketch the Problem

  15. Section Temperature and Thermal Energy 12.1 Transferring Heat in a Calorimeter Let zinc be sample A and water be sample B. Sketch the transfer of heat from the hotter zinc to the cooler water.

  16. Section Temperature and Thermal Energy 12.1 Transferring Heat in a Calorimeter Identify the known and unknown variables. Known: mA = 0.040 kg CA = 388 J/kg·ºC TA = 115 ºC mB = 0.500 kg CB = 4180 J/kg·ºC TB= 15.0 ºC Unknown: Tf = ?

  17. Section Temperature and Thermal Energy 12.1 Transferring Heat in a Calorimeter Step 2:Solve for the Unknown

  18. Section Temperature and Thermal Energy 12.1 Transferring Heat in a Calorimeter Determine the final temperature using the following equation.

  19. Section Temperature and Thermal Energy 12.1 Transferring Heat in a Calorimeter Substitute mA = 0.040 kg, CA = 388 J/kg·ºC, TA = 115 ºC, mB = 0.500 kg, CB = 4180 J/kg·ºC, TB= 15.0 ºC.

  20. Section Temperature and Thermal Energy 12.1 Transferring Heat in a Calorimeter Step 3:Evaluate the Answer

  21. Section Temperature and Thermal Energy 12.1 Transferring Heat in a Calorimeter • Are the units correct? Temperature is measured in Celsius. • Is the magnitude realistic? The answer is between the initial temperatures of the two samples, as is expected when using a calorimeter.

  22. Section Temperature and Thermal Energy 12.1 Transferring Heat in a Calorimeter • Step 1:Analyze and Sketch the Problem • Let zinc be sample A and water be sample B. • Sketch the transfer of heat from the hotter zinc to the cooler water. The steps covered were:

  23. Section Temperature and Thermal Energy 12.1 Transferring Heat in a Calorimeter • Step 2:Solve for the Unknown • Determine the final temperature using the following equation. • Step 3:Evaluate the Answer The steps covered were:

  24. Section Temperature and Thermal Energy 12.1 Calorimetry: Measuring Specific Heat • Animals can be divided into two groups based on their body temperatures. • Most are cold-blooded animals whose body temperatures depend on the environment. • The others are warm-blooded animals whose body temperatures are controlled internally. • That is, a warm-blooded animal’s body temperature remains stable regardless of the temperature of the environment.

  25. Section Temperature and Thermal Energy 12.1 Calorimetry: Measuring Specific Heat • In contrast, when the temperature of the environment is high, the body temperature of a cold-blooded animal also becomes high. • A cold-blooded animal, such as the lizard shown in the figure, regulates this heat flow by hiding under a rock or crevice, thereby reducing its body temperature.

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