A metal bar in a low temperature physics experiment with mass m = 89 kg had its temperature raised from T1 = 26 K to T2 = 46 K. The metal bar has a specific heat that is a function of temperature:c(T) = A + αT, where A = 380 J/(kg⋅K) and α = 9.9 J/(kg⋅K2). Note the metal bar does not change in volume as it is heated. Calculate the amount of heat Q in joules required to raise the temperature on the metal bar as stated. Calculate heat released by the metal bar when cooling from T2 to T1 without any change in volume. Write an approximation of the c(T) for the metal rod for very high temperatures (say T >> 1000 K).
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.
A metal bar in a low temperature physics experiment with mass m = 89 kg had its temperature raised from T1 = 26 K to T2 = 46 K. The metal bar has a specific heat that is a function of temperature:
c(T) = A + αT,
where A = 380 J/(kg⋅K) and α = 9.9 J/(kg⋅K2). Note the metal bar does not change in volume as it is heated.
|
Calculate the amount of heat Q in joules required to raise the temperature on the metal bar as stated. Calculate heat released by the metal bar when cooling from T2 to T1 without any change in volume. |
| Write an approximation of the c(T) for the metal rod for very high temperatures (say T >> 1000 K). |
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
