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. E

    Why does ice have a lower specific heat capacity ?

    Throughout my time doing physics I have noticed that ice has a lower specific heat capacity than water. I don't understand why. To me it seems that the bonds between water molecules in a solid are stronger and hence require a greater deal of thermal energy to break. Hence, the PE of the...
  2. F

    Thermal Properties - Specific heat.

    Homework Statement A well lagged calorimeter of mass 120g contains 200g of water and 50g of ice, initial at 0°C. A jet of steam is blown through the water until the water temperature reaches 30°C. Calculate the mass of steam that must condensed. The specific heat capacity of Copper...
  3. F

    Need conversion and specific heat?

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  4. M

    Definition of specific heat by via entropy

    In his Statistical Physics book, Landau introduces the specific heat as the quantity of heat which must be gained in order to raise the temperature of a body one by unit. I don't understand, how he directly jumps to the conclusion that that has to be (let's just say, for constant volume): C_V...
  5. C

    Specific heat for a 1-D lattice

    Homework Statement A 1-D lattice consists of a linear array of N particles (N>>1) interacting via spring-like nearest neighbor forces. The normal node frequencies are given by \omega_n=\omega_0\sqrt{\,\,2-2\cos\left(2\pi n/N\right)} where \omega_0 is a constant and n an integer ranging...
  6. T

    Is Heat Capacity the Same for All Materials?

    Hi there, I have a quick question. According to duLong and petit's law, the heat capacity at constant volume for most solids at high temperatures is 3R. (I.e) Cv=3R. Where R is the gas constant. Does this mean that the heat capacity is the same for all materials? I thought each material at a...
  7. J

    Measuring specific heat capacity

    I completed high school 9 years ago... please bare with me :) My problem is with how they calculate the actual answer - this is from an example problem in my textbook. Homework Statement A calorimeter cup is made from 0.15kg of Alu and contains 0.20 kg of water. Initially the water and...
  8. M

    Specific Heat Capacity and Energy

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  9. P

    Why does Ammonia have such a high specific heat capacity?

    I am quite confused by this, because I have not yet found a compound that has a higher one. My understanding is that specific heat capacity of a molecule is based on a combination of the number of degrees of freedom the molecule has and the number of vibrational modes. As for the second factor...
  10. P

    Specific Heat of Al: Liquid vs Solid Phases

    Does the value of specific heat change with phase? If yes, why so and what are its values for Al in liquid and solid phase.
  11. JJBladester

    Enthelpy change - Using tables to find specific heat

    Homework Statement Calculate the change in the enthalpy of argon, in KJ/kg, when it is cooled from 100 to 25 °C. Homework Equations \Delta h = c_{p} \Delta T Where \Delta h is the change in enthalpy, c_{p} is the specific heat, and \Delta T is the change in temperature. The Attempt at a...
  12. L

    Specific heat capacity problem

    A bath contains 100kg of water at 60C. Hot and cold taps are then turned on to deliver 20kg per minute each at temperatures of 70C and 10C respectively. How long will it be before the temperature in the bath has dropped to 45C? Assume complete mixing of the water and ignore heat losses. I've...
  13. M

    Chemistry Problem involving specific heat capacity and energy change

    Homework Statement A cube of gold is heated to a temperature of 94.2 degrees celsius, and then submerged in 31.3 mL of water at an initial temperature of 28.7 degrees celsius. If the final temperature of the water is 45.6 degrees celsius, calculate the volume of the cube of gold (s=0.130...
  14. R

    Specific heat capacity and changing temperature of water

    Homework Statement there is a bath of 160L of water at 41oc (shc 4000). A rock of 15kg is dropped into the bath at 250oc with shc of 2000 What temperature does the water end up at? Homework Equations Q=cmT The Attempt at a Solution Very sorry but I don't have a clue. Not...
  15. F

    Specific Heat of Nitrogen Molecule

    Homework Statement Estimate the precise value for the specific heat of a nitrogen molecule at T=13.6K Homework Equations I'm pretty sure the correct equation is: Cp = (7/2)*R + R((hv)/(kT))2 *((e(hv/kT))/(e(hv/kT)-1)2 So R=8.314 J K-1mol-1 T=13.6K h=6.626*10-34m2kg s-1...
  16. M

    Finding Specific Heat of oil with an electric heating coil

    Homework Statement To determine the Specific heat of an oil , an electrical heating coil is placed in a calorimeter with 380g of the oil at 10C. The coil consumes energy(and gives off heat) at the rate of 84W. After 3min the oil temperature is 40C. If the water equivalent of the calorimeter...
  17. X

    Ideal gas specific heat calculation

    Homework Statement See attachment "problem". Homework Equations See attachment "data" The Attempt at a Solution Can someone tell me what values to plug in for the equation R/M integral (a+bT+cT^2...). The solution doesn't show this step, so I have no idea the numbers they used to...
  18. A

    Calculating the Value of Q for Constant Pressure Heat Transfer

    1. What is the value of Q in this problem? Is it a value that's stated in the question or does it need calculating? A sample consisting of 5 moles of an ideal gas at a temperature of 300 K and a pressure of 1.00 × 105 Pa is heated to a temperature of 500 K at constant pressure. The amount...
  19. G

    Specific heat (I'm not sure if it's capacity or latent)

    Homework Statement Part a. A 500 W kettle contains 300g of water at 20°C. Calculate the time it would take to raise the temperature of the water to boiling point. Part b. The kettle is allowed to boil for 2 minutes. Calculate the mass of water that would remain in the kettle. State any...
  20. K

    Relationship between specific heat capacity and power

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  21. S

    Can Specific Heat Capacity Be Negative? - Physical Meaning Explained

    Can the specific heat capacity be negative? Is there any substance for which i have to add heat to decrease its temperature? By the way,why specific heat capacity has the word "capacity" in it? Is there any physical significance to it or it is simply traditional(historical)?
  22. R

    Specific heat of a heavy ion plasma

    I am surprised by the result when I estimate the specific heat of the plasma produced by heavy ion collisions in the LHC: C(plasma) ~= 2e5 J/(g-K) (Details below.) This is ~1e6 times greater than C(lead)=0.13 J/(g-K) (1). Did I make a mistake? If not, can the physics experts who read this...
  23. F

    How can i determine Specific heat capacity of Water cpv if i know all variables

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  24. J

    Specific Heat Capacity of metal in water

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  25. N

    Specific heat capacity varies with temperature.

    Homework Statement Heating a .8 kg disk of iron from 20 C to 400 C, but the specific heat capacity changes from 456 at 20 C, to 615 at 400 C. It hints that I'm supposed to find the average to solve the equation. Homework Equations E = mC(dT) The Attempt at a Solution I have a...
  26. I

    Specific heat capacity question

    Homework Statement When a car brakes, an amount of thermal energy equal to 112500J is generated in the brake drums. If the mass of the brake drums is 28 kg and their specific heat capacity is 460.5 Jkg^-1K^-1? A piece of iron of mass 200g and temperature 300°C is dropped into 1.00kg of water...
  27. 1

    Specific heat mixture, final temp, etc.

    Homework Statement The specific heat of lead is 0.03 cal/g*C. 300 grams of lead shot at 100* C is mixed with 100 grams of water at 70* C. What is the final temperature of the mixture if the container is insulated. Homework Equations The Attempt at a Solution Q1 = c1m1(Tf - 100)...
  28. F

    Molar specific heat of an ideal gas

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  29. D

    Another specific heat question

    Homework Statement A 28.2 g sample of nickel is heated to 100 degrees C and placed in a coffee cup calorimeter containing 150g of water at a temperature of 13.5 degrees C. After the metal cools, the final temperature of the metal and water is 25 degrees C. Calculate the specific heat...
  30. D

    Specific Heat Capacity Question Mixture Q=MCdeltaT

    Homework Statement A mixture is made by adding 75g of an unknown liquid at a temperature of 25 degrees Celsius to 60g of water at a temperature of 90 degrees Celsius. The final temperature f the mixture is 65 degrees Celsius. Calculate the specific heat capacity of the liquid. What is the...
  31. N

    Heat Capacity v Specific heat capacity?

    Homework Statement what is the different in term of definition between Heat capacity and Specific heat capacity ? Homework Equations Q=mΔTC →C=Q/mΔT The Attempt at a Solution Specific heat capacity is the amount needed per unit mass of material so is a number independent of the...
  32. S

    Understanding Specific Heat Units (hg-C)

    Hopefully this is a really simple question to answer. A problem I have uses the following information: The specific heat of air = 1.05 kJ/hg-C. Does anyone know what the hg-C stands for? I know specific heat is usually expressed in terms of J/C, so this is confusing me.
  33. J

    Equation measuring heat with temperature change, time and specific heat

    hello, If I had a substance (k) and heated it from Temperature1 to Temperature2, for z seconds, is there any (simple) equation that would give me the temperature (x) of this substance at the end? (knowing, of course, the substance's specific heat(C)) I found that: Q(energy exchanged during...
  34. L

    Specific heat and heat of fusion lab questions

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  35. A

    Finding specific heat of an object graphically

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  36. J

    Ideal gas specific heat coefficients

    Hello, I'm trying to find the coefficients for the ideal gas specific heat at constant pressure in the form: Cp = a + bT + cT^2 + dT^3 (kJ/kmol.K) I need to find these coefficients for Octane. I have found them online in a slightly different form.. Cp = a + bT + cT^2 + dT^3 + eT^4...
  37. B

    Calculate Specific Heat Capacity HELP

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  38. N

    Derivation of the Debye Specific Heat Capacity

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  39. A

    Specific heat capacity and temperature

    Why does the specific heat capacity of an object changes with temperature?Please explain in detail.Thanks..
  40. M

    Solving a Student's Experiment on an Ideal Gas: Molar Specific Heat Capacity

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  41. S

    Specific Heat (kCal and J) for copper, help please

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  42. N

    Why specific heat at near critical point equals differentiate twice Gibbs energy?

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  43. P

    Specific Heat of Nickel / Latent Heat of Fusion

    Homework Statement I've done 2 experiments, one was to find the specific heat of nickel and the other was to find the latent heat of fusion. For the nickel experiment, it involves heating the nickel in a test tube in a water bath, and then transferring the pellets to a Styrofoam cup. With...
  44. E

    Calorimetry(determination of specific heat capacity)

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  45. A

    Statistical Mechanics - Specific Heat Capacity

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  46. M

    Can Kinetic Energy be Substituted for Heat in Latent Heat Calculations?

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  47. S

    What is the mass of water used to cool the iron car engine?

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  48. S

    Thermal physics; specific heat capacity

    Homework Statement In an experiment to measure the temperature of the flame of a Bunsen burner, a lump of copper of mass 0.12 kg is heated in the flame for several minutes. The copper is then transferred quickly to a beaker, of negligible heat capacity, containing 0.45 kg of water, and the...
  49. GRB 080319B

    Specific heat capacity and themal conductivity

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  50. P

    Specific Heat Capacity Experiment

    So our teacher wants us to find the temperature of a flame of a bunsen burner. To do so, he told us to do the following: Heat an aluminium block of known mass (160g), but unknown initial temperature. Drop it in a beaker with 500 ml of water, of known temperature (22 degrees) and let the...
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