Specific heat Definition and 481 Threads

In thermodynamics, the specific heat capacity or occasionally massic heat capacity (symbol cp) of a substance is the heat capacity of a sample of the substance divided by the mass of the sample. Informally, it is the amount of energy that must be added, in the form of heat, to one unit of mass of the substance in order to cause an increase of one unit in temperature. The SI unit of specific heat capacity is joule per kelvin per kilogram, J⋅kg−1⋅K−1. For example, the heat required to raise the temperature of 1 kg of water by 1 K is 4184 joules so the specific heat capacity of water is 4184 J⋅kg−1⋅K−1.The specific heat capacity often varies with temperature, and is different for each state of matter. Liquid water has one of the highest specific heat capacities among common substances, about 4184 J⋅kg−1⋅K−1 at 20 °C; but that of ice just below 0 °C is only 2093 J⋅kg−1⋅K−1. The specific heat capacities of iron, granite, and hydrogen gas are about 449 J⋅kg−1⋅K−1, 790 J⋅kg−1⋅K−1, and 14300 J⋅kg−1⋅K−1, respectively. While the substance is undergoing a phase transition, such as melting or boiling, its specific heat capacity is technically infinite, because the heat goes into changing its state rather than raising its temperature.
The specific heat capacity of a substance, especially a gas, may be significantly higher when it is allowed to expand as it is heated (specific heat capacity at constant pressure) than when is heated in a closed vessel that prevents expansion (specific heat capacity at constant volume). These two values are usually denoted by




c

p




{\displaystyle c_{p}}
and




c

V




{\displaystyle c_{V}}
, respectively; their quotient



γ
=

c

p



/


c

V




{\displaystyle \gamma =c_{p}/c_{V}}
is the heat capacity ratio.
The term specific heat may refer to the ratio between the specific heat capacities of a substance at a given temperature and of a reference substance at a reference temperature, such as water at 15 °C; much in the fashion of specific gravity.
Specific heat capacity relates to other intensive measures of heat capacity with other denominators. If the amount of substance is measured as a number of moles, one gets the molar heat capacity instead (whose SI unit is joule per kelvin per mole, J⋅mol−1⋅K−1. If the amount is taken to be the volume of the sample (as is sometimes done in engineering), one gets the volumetric heat capacity (whose SI unit is joule per kelvin per cubic meter, J⋅m−3⋅K−1).
One of the first scientists to use the concept was Joseph Black, 18th-century medical doctor and professor of Medicine at Glasgow University. He measured the specific heat capacities of many substances, using the term capacity for heat.

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  1. B

    Finding specific heat capacity of a non-monatomic (ideal gas)

    Homework Statement Suppose that 31.4 J of heat is added to an ideal gas. The gas expands at a constant pressure of 1.40x104 Pa while changing its volume from 3.00x104 to 8.00x104 m3. The gas is not monatomic, so the relation CP = 5/2R does not apply. (a) Determine the change in the internal...
  2. Rugile

    Thermodynamics. Finding specific heat capacity

    Homework Statement Ideal gas of point particles is expanding so that its molar heat capacity Cx is constant and the work done by gas is W = 156J. Then the gas is isochorically heated to the initial temperature by receiving the quantity of heat which is Q = 125 J. Find Cx. Homework...
  3. F

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  4. P

    How can I find the specific heat of Normal Saline 0.9% ?

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  5. MacLaddy

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    Homework Statement I have a problem that I've mostly solved using Ideal-gas specific heats for Oxygen. It has the form C_p = a + bT + cT^2 + dT^3 I am supposed to give the answer in English units of \frac{Btu}{lbm}, but I am having some difficulties in my conversion. Homework...
  6. M

    Is the Specific Heat of Ice Constant Below Zero Degrees Celsius?

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  7. T

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  8. andyrk

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  9. S

    Cast iron specific heat in function of the temp

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  10. M

    Time to achieve specific heat transfer for fluid flowing in a pipe

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  11. L

    Approximation of specific heat, Debye model

    Hi everyone I have trouble with this task Homework Statement the specific heat cv is given by c_v =\frac {N_A k_b \hbar^2}{{\Omega_D}^3 {k_b}^2 T^2} \int \limits_{0}^{\Omega_D} \! \frac {\Omega^4 exp\frac{\hbar \Omega}{k_b T}}{{(exp\frac{\hbar \Omega}{k_b T}-1})^2} \, d\Omega I...
  12. morrobay

    Entropy Of Mixing and Specific Heat

    Homework Statement 100g of lead, specific heat .0345 cal/g/C at 100 C is mixed with 200 g of water at 20 C. Find the difference in entropy of system at end from value before mixing. Note: I think the book has wrong answer of 1.42 cal/K Homework Equations Before mixing entropy for water =...
  13. J

    What is the Difference Between Latent Heat and Specific Heat?

    Homework Statement I took a test and got it back I'm wondering if my prof. definition is correct. The heat required per unit mass of a substance to produce a phase change is called? A. specific heat B. Specific heat capacity C. latent heat I said it was C. He say's B Please...
  14. Y

    Higher Specific Heat Capacity: Explained

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  15. R

    Specific Heat Capacity, Heat Energy, Thermodynamics Physics

    Homework Statement A block of ice has a mass of 150g and a temperature of -4°. The ice is melted by supplying 60KJ heat energy. Determine the final temperature of the melted water. Homework Equations Equations i think can be used: Q = ml and H = mcΔθ The Attempt at a Solution...
  16. V

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    Homework Statement You have a position working with a group investigating biological mechanisms that determine a predisposition to obesity. Your assignment is to measure the rate that energy is output by certain types of cells when a nutrient is introduced. To begin this study, you have...
  17. F

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    If I use the answer given in the book for part a, I can get the correct answers for b and c. However, I do not know what I have done wrong in part a? My best guess would be that assuming the blood evaporates at 100 degrees is incorrect? The answer given in the book is 5.1*10^{-3}J
  18. T

    Diethyl Phthalate Specific Heat Capacity

    Does anyone know where I can find the specific heat capacity of Diethyl Phthalate? I tried google but couldn't find it. Any help would be appreciated.
  19. N

    The Specific Heat of a Free-Electron gas calculated by using the Fermi

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  20. J

    Specific heat capacity of Argon dependence on temperature

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  21. Saxby

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  22. Saxby

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  23. E

    Finding Final Temperature of Boiling Water and Potatoes

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  24. P

    Calculating molar specific heat capacity - not a monatomic gas

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  25. Y

    Latent Heat + Specific Heat Problem

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  26. D

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  27. S

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  28. F

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  29. S

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  30. L

    Specific Heat of Water - What is the Heat Capacity?

    Homework Statement What is the heat capacity of water in J*g*°C Homework EquationsA 74.8 sample of copper at 143.2g is added to an insulated vessel containing 165ml of water, Density of water = 1.00 at 25.0 °C. The final temperature is 29.7° C The specific heat of copper is 0.385 J*g*°C...
  31. K

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  32. S

    Metal Low Specific Heat: Why Is It Useful?

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  33. M

    Specific heat capacity for adiabatic & isothermal process

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  34. M

    Liquids, internal energy and specific heat capacity

    A liquid contained in an adiabatic container is shaked vigorously so that it its temp. Increases. The heat capacity for the liquid is given, the rise in temp. Is given. According to the first law of thermo, dQ=dW + dU here dQ is 0. Asked, is to find the work done on the system, i.e...
  35. I

    How to measure copper sulfate specific heat

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  36. E

    Specific heat capacity of brass

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  37. M

    Specific heat capacity and final temperature

    Homework Statement A 2.8 kg sample of a metal with a specific heat of 0.43KJ/KgC is heated to 100.0C then placed in a 50.0 g sample of water at 30.0C.* What is the final temperature of the metal and the water? Homework Equations heat loss by the metal = heat gain by the water The...
  38. B

    Specific heat at constant volume

    C_{V} = \frac{∂U}{∂T} This is the specific heat at constant volume so I assume it can only be used at constant volume. However, my textbook uses this to derive the following equation for reversible adiabatic expansion: P_{1}V_{1}^{γ} = P_{2}V_{2}^{γ} Why are we allowed to use C_{V}...
  39. M

    Specific Heat Capacity of aluminum rivets

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  40. P

    Specific Heat of Sodium vs Absolute Temperature

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  41. M

    Specific Heat Capacity of Tantalum

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  42. T

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  43. J

    Why are specific heat high in water but low in ethylene glycol?

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  44. H

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  45. H

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  46. T

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  47. C

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  48. B

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  49. J

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  50. M

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