What is Specific heat: Definition and 481 Discussions

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. C

    Deriving general specific heat capacity formula

    For this, Dose anybody please know of a better way to derive the formula without having ##c = \frac{\Delta Q}{m \Delta T}## then taking the limit of both sides at ##\Delta T## approaches zero? I thought ##\Delta Q## like ##\Delta W## was not physically meaningful since by definition ##Q## is...
  2. lxhull

    Specific Heat Capacity of a metal bar placed into water

    Previously solved thermal energy gained by water as Eth= 0.15(4180)(17.6) = 11035.2 J Not sure if its relevant
  3. J

    I Calculating the specific heat capacity for the 2D Ising model

    So I'm looking at the book "Equilibrium Statistical physics" by Plischke and Bergersen. I'm doing the calculation of the specific heat of the 2D Ising model. I can't seen to quite get out the same expression as in the book - there are a coupe of minus signs that are different. I don't know if I...
  4. D

    Specific heat in for the Otto cycle

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  5. JD_PM

    Finding specific heat C_p coefficients using NIST

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  6. N

    Thermal physics question: Specific heat capacity

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  7. bluesteels

    Confusion about whether to use the specific heat of water or ice

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  8. sarahjohn

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  9. E

    I Calculating the Area of an RN Event Horizon with Specific Heat Formula

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  10. E

    A query about heat capacity and specific heat capacity

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  11. E

    Specific heat capacity & heat capacity

    the answer is 1/2 , but when I did the working out, I got 2/1.. so I'm quite confused
  12. A

    Calculating specific heat capacity from entropy

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  13. cwill53

    Specific Heat Capacity Derivation

    The specific heat capacity at constant volume and the specific heat capacity at constant pressure are intensive properties defined for pure, simple compressible substances as partial derivatives of the functions u(T, v) and h(T, p), respectively, $$c_v=\left ( \frac{\partial u}{\partial T}...
  14. jaumzaum

    What chemical properties affect the specific heat?

    Hello all! I would like to know what chemical/physical properties influencies the specific heat. For example, why are specific heat of metals smaller than the specific heat of water, and why do ice and steam have a smaller specific heat than liquid water do.
  15. Y

    Why use c_p and not c_v as specific heat - Thermodynamics

    Hey all, I am working on a problem that goes like this: The cargo space of a refrigerated truck whose inner dimensions are 12 m 3 2.3 m 3 3.5 m is to be precooled from 25°C to an average temperature of 5°C. The construc- tion of the truck is such that a transmission heat gain occurs at a rate...
  16. tanaygupta2000

    Molar Specific heat of Blackbody radiation

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  17. A

    Conceptual thermodynamics question regarding specific heat ratio

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  18. A

    Specific heat of a monotomic gas

    Given this problem I have calculated the partition function as $$z=1+e^{-\beta E_1}$$ And calculated the average internal energy as $$<U>=\frac{E_1 e^{-\beta E_1}}{1+e^{-\beta E_1}}$$ And thereafter taking the partial derivative of <E> with respect to temp. T the specific heat obtained is...
  19. P

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  20. patric44

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  21. dRic2

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  22. TonyKonya

    Specific Heat at High Temperatures

    I am working on some simulations to determine pressures for extremely high-pressure combustion events. The temperatures in these events can range anywhere from 3000 K to 6000 K. In order to do this I need to find valuers for specific heats of gases at these temp ranges as I know they vary to a...
  23. Baibhab Bose

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  24. Nikhil Rajagopalan

    Molar specific heat capacity for constant volume.

    Dear Experts, We compute Cv for gases using the idea of equipartition principle and degrees of freedom. In case of a diatomic molecule, there are minimum 3 degrees of freedom (at very low temperatures) and maximum 6 degrees of freedom one of them being vibrational (at high temperatures. Does it...
  25. W

    Calorimetry Lab Analysis (predict specific heat of unknown metal)

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  26. F

    Understanding Specific Heat: A Derivation of the Correct Equation

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  27. S

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  28. A

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  29. Death eater

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  30. F

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  31. F

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    Hello, I was thinking about how a blackbody (and any other type of body) eventually reaches a steady-state, constant and finite temperature once the absorbed energy is equal to the emitted energy. The specific heat of a substance indicates the temperature change causes by the...
  32. A

    Specific heat capacity of a solid material

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  33. S

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  34. lc99

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  35. R

    Calculate Resultant Temperature: 100g Steam at 100°C + 500g Ice at -20°C

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  36. G

    Specific heat for an ideal gas

    Homework Statement If Cp for an ideal gas is 35.4 J/mol⋅K, which of the following is Cv for this gas? a. 12.5 J/mol⋅K b. 20.8 J/mol⋅K c. 29.1 J/mol⋅K d. 27.1 J/mol⋅K e. 43.4 J/mol⋅K Homework Equations ΔH = ΔE + Δ(PV) = Q + W + Δ(PV), and for ideal gas, ΔH = nCvΔT + Δ(nRT) = nCvΔT + nRΔT =...
  37. B

    Radiant heat transfer and specific heat

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  38. P

    Why don't units have match for specific heat and mass

    Homework Statement A problem will ask for an amount of substance in kilograms to be raised to a certain temperature and the specific heat be given in J/g*K. The amount of substance is not required to be converted to grams to match the units in the specific heat to get the correct amount of...
  39. T

    Interpreting Molar Specific Heat number

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  40. HRubss

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  41. S

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  42. L

    Specific Heat Problem (did something wrong?)

    Homework Statement Heated iron with mass of 55.0 g was added to 100 mL of water at 20 degree Celsius. Assuming no energy transfer to the surroundings and that the final temperature of the system is 42.7 degrees C, calculate initial temperature of the iron. Mass of Iron = 55.0 g mass of Water =...
  43. A

    Specific heat capacity, Q = mcθ

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  44. yecko

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  45. D

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  46. C

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  47. Const@ntine

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  48. D

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