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. J

    Calculating Specific Heat: 86.6°C to 21.3°C

    was heated to 86.6 C and then placed in a calorimeter that contained 61.2 grams of water at 19.6 C The temp of the water rose to 21.3 , determine the specific heat of the alloy in J/gC " Technique: use the formula c= q/delta t what do you plug in for q ? you would have c = q/1.7 ? what do you...
  2. J

    Calculating Specific Heat: 50g of Unknown Substance at 25°C to 89.7°C

    50 grams of a substance absorbed 2.578 kj of energy as it changed from 25 degrees celcius to 89.7 What is the specific heat of the unknown substance in J/gC ? Is it correct to use : q = m c delta T q = specific heat m = mass c = ? delta T here is 64.7 The answer seems really big? Is it ...
  3. P

    Investigating Specific Heat Capacity with Boiling & Warm Water

    I am doing a lab about specific heat. i have a cup of boiling water which i put 5 metals into, and a cup of warm water which sits at 22 degrees celcius. i am to record the difference in temperature as i am using the equation Q = mc (delta) T for part one, and then i am using the equation C = Q/m...
  4. V

    How to Calculate the Specific Heat Capacity of an Unknown Metal

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  5. C

    What is the Specific Heat Capacity of Copper in Water?

    Homework Statement This was a LAB assignment. I need to find the specific heat capacity of a given metal (Cu in this case) in water, I have the following observations. Mass of water: 249.14g = 0.24914 Kg Initial temperature of water: 18 C Initial temperature of metal: 100 C Specific heat...
  6. L

    What is the specific heat of seawater?

    Homework Statement What is the specific heat of seawater? Homework Equations I'm confused about what units are used, and what the specific heat of seawater is defined at? The Attempt at a Solution I found a website quoting, 'specific heat is about 3850 J/(kg C)'
  7. L

    What is the specific heat of seawater?

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  8. C

    Investigating Ice Specific Heat of Fusion

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  9. T

    Unknown specific heat of a mixture of several substances of known specific heat

    Homework Statement A 5.00-g sample of aluminum pellets (specific heat capacity = 0.89 J/°C · g) and a 10.00-g sample of iron pellets (specific heat capacity = 0.45 J/°C · g) are heated to 100.0°C. The mixture of hot iron and aluminum is then dropped into 96.5 g of water at 23.5°C. Calculate...
  10. O

    How to solve this photoelectric equation involving specific heat capacity

    We have the parameters,current =10^-3A,V=15kv,number of electrons=6.25 X 10^15,velocity=7.3 X 10^7,specific heat capacity of the liquid=2 X 10^3,c=3 X 10^8,h=6.63 X 10^-34,mass of electron = 9.11 X 10^-31. Now the question says,in an x-ray tube having those parameters,find the rate at which...
  11. L

    Specific Heat of Ice and Copper

    Homework Statement A student wants to melt a 200 gram block of ice that is at minus 10.0°C and turn it into liquid water at 15.0°C. The student plans to do this by heating copper pellets to 100.0°C and then dropping them onto the block of ice in a thermally insulated container. How many...
  12. T

    What is the final temperature of the aluminum can after heating water?

    Homework Statement 1.0 g of water at 28 degree celcius is placed into a 200g aluminium can at 300 degree celcius. What is the temperature of the aluminium can after all the water vapourises? Given the specific heat capacity of aluminium, 900 J/kg/degree celcius and water, 4200 and specific...
  13. P

    Does Specific Heat Capacity Affect the Speed of Heat Transfer in Calorimeters?

    Homework Statement This is a problem I made myself and it's really confusing me. You have 100mL of water and place it in a calorimeter of low specific heat capacity. You put another 100mL of water in another calorimeter of high specific heat capacity. Assume in both instances that the water is...
  14. A

    Calculating the Limit of an Einstein Solid Specific Heat

    So, I can't really find this limit: \lim_{T \to \infty} \ 3Nk {(\epsilon/kT)}^2 \frac{e^{(\epsilon/kT)}}{{(e^{(\epsilon/kT)}-1)}^2} This is actually the formula for the specific heat of an Einstein solid, which is pretty easy to derive but I haven't been able to calculate the limit to show it...
  15. B

    How to determine the specific heat of a given substance (calorimetry)

    Homework Statement So basically our teacher gave us a bunch of materials and told us to conduct an experiment including the notes on change of heat we took earlier in the week. This is what my group conducted. We acquired 125 mL of water that started at 21 degrees celsius. We then heated...
  16. M

    Experiment: Ratio of the principal specific heat capacities of air

    Homework Statement To find the ratio of the specific heat capacities of air (γ). Homework Equations PVγ=constant The Attempt at a Solution I performed the experiment a number of times to get an average for γ The experiment consisted of a container with release valve, a hand...
  17. A

    Specific Heat (The Very Concept)

    So I don't get the concept of specific heat. I'm doing an ODE problem and I've never even looked at science, not even in high school. The book defines the specific heat of a substance as: The ratio of the quantity of heat required to raise the temperature of a unit of substance by one degree...
  18. E

    Finding Specific Heat of Metal

    Homework Statement A piece of metal of weight 50 grams is heated to a temperature of 100°C and then introduced into a calorimeter containing water at 14°C, the maximum temperature reached being 20°C. If the weight of the calorimeter is 5 grams, the specific heat of the metal of which it is...
  19. R

    Specific heat at constant pressure

    Dear Forum members, I have a bit confusion about the "Specific Heat at constant pressure". Normally it only varies with the temperature (As given by many book at their Appendixs). But these values are only given at 1 atm pressure and with a wide range of temperature. Most of the books...
  20. S

    Units of principal specific heat

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  21. P

    Improving Specific Heat Capacity Experiment

    The question involves testing the Specific Heat Capacity of an aluminum block, using the equation: Q = m x Specific Heat Capacity x Change in Temperature. Two experiments are performed using the same power of the heater and the same mass of the object and a very similar change in...
  22. M

    Finding the Specific Heat Capacity

    Homework Statement The experiment was that we heated a beaker with water in it, and also a type of metal for around 5 minutes so that the metal becomes the same temperature as the water. We then dropped that heated metal into a stryofoam cup containing 189.10g of water in it. mass of...
  23. D

    Effect of TIME on SPECIFIC HEAT?

    We did an experiment using a calorimeter in class, where we dropped a hot piece of metal into water in the calorimeter. We measured initial temp of metal + water, and the final equilibrium temperature. This allowed us to calculated the specific heat of the unknown metal (we also had the mass...
  24. D

    Why is specific heat capacity less?

    Hi, I just did a specific heat capacity test using a calorimeter, and the specific heat capacity I found (using heat gained = heat lost) is less than the real value. The problem is, I expected it to be more. I mean heat will be lost through the calorimeter, meaning that a greater amount of...
  25. P

    Specific heat in izobaric process

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  26. P

    Specific heat capacity of cream

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  27. S

    Specific heat and possibly latent heat too..

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  28. K

    Constant volume Specific heat and internal energy relationship in nonideal gas.

    Hi, 1. \color{blue}dq=dU+PdV so C_V = \left(\frac {\partial q}{\partial T}\right)_V= \left(\frac {\partial U}{\partial T}\right)_V leads to dU=C_{V}dT so \color{red}\left(\frac {\partial U}{\partial V}\right)_T = 0 meaning that internal energy of NONideal gas is a sole function of T? 2. As...
  29. M

    What determines the specific heat capacity of a given substance?

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  30. G

    Specific Heat Capacity and Specific Latent Heat

    Hi Everyone :smile: I have to create an experiment for my assignment in Physics. I've chosen to do something about Specific Heat Capacity. A boy in my class is also doing SHC so I wanted to make mine a little different from his. I've just recently joined physics (never done it before)...
  31. T

    Using the specific heat of any substance

    Ques 1) In determining and then using the specific heat of any substance:- For solids and liquids, we usually assume that the sample is under constant pressure during the transfer, or at constant volume while the heat is absorbed. Then is it possible that the thermal expansion of the sample can...
  32. I

    Can Internal Vibrations Affect Temperature and Specific Heat?

    In thinking about specific heat, I have been unable to resolve a particular issue. If molecules in a substance are bumped and move faster, then they will measue to be at a temperature proportional to the speed they are moving which is a consequence of how hard on average they were hit(heat...
  33. Y

    Question about determing specific heat capacity using waterfall.

    Homework Statement The temperature at the top of a popular waterfall is 22.0 degrees celcius. The temperature at its base, 210 m lower, is 22.5 degrees celcius. 1)Caluclate the specific heat capacity of the water. 2) If the waterfall was twice as tall, determine by how much the water...
  34. P

    Einstein's formula for specific heat

    I'm working through a derivation of Einstein's formula for specific heat and I'm stuck. So far I've been working off Planck's assumption of quantised energy E=n\hbar\omega and the energy probability P(E)= e^{\frac{-E}{k_b T}} , using the fact that the mean expectation energy is \langle E...
  35. P

    Einstein's formula for specific heat

    I'm working through a derivation of Einstein's formula for specific heat and I'm stuck. So far I've been working off Planck's assumption of quantised energy E=n\hbar\omega and the energy probability P(E)= e^{\frac{-E}{k_b T}} , using the fact that the mean expectation energy is \langle E...
  36. C

    Molar Specific Heat: Difference Between CV & CP

    1. Homework Statement What si the difference between the molar specific heat at constant volume and at constant pressure? Homework Equations The Attempt at a Solution
  37. P

    How Do You Calculate Specific Heat Capacity and Latent Heat of Fusion for Lead?

    Homework Statement 3.00 kg of molten lead is allowed to cool until is has solidified. It is found that the temperature of the lead falls from 605 K to 600 K in 10 s, remains constant at 600K for 300 s, and then falls to 595 K in a further 8.4 s. Assuming that the loss of heat energy remains...
  38. S

    Molar specific heat capacities for gases

    For an isochoric process, dV = 0 therefore dW=0 So from 1st of Thermodynamics, dQ = dU + 0 or, n*Cp*dT = n*Cv*dT (Cp and Cv denote molar heat capacities of the gas at const pressure and volume resp.) therefore we get Cp = Cv .(how can this be possible once we know Cp - Cv = R ?)
  39. C

    Variation of specific heat with temperature

    how does specific heat of gases vary with temperature? is there an equation to describe it?
  40. T

    Experiment to find specific heat of a liquid

    Homework Statement Determine the specific heat of a liquid USING a resistance heater. Exact problem - Design an experiment complete with instrumentation to determine the specific heats of a liquid using a resistance heater. Discuss how experiment will be conducted, what measurements need to...
  41. C

    What Are the Cp and Cv Values for Petrol and Air?

    what are the Cp and Cv values of petrol and air?
  42. S

    Specific heat capacity and latent heat.

    a 210 heater is places in 2 kg of water. What temperature rise is produced if the heater is switched on for 200 seconds? I need your help please.
  43. U

    Physics refraction and Specific heat capacity problem

    I am a IGCSE student! Ok so in the physics w08 qp ( http://www.xtremepapers.net/CIE/Cambridge%20IGCSE/0625%20-%20Physics/0625_w08_qp_03.pdf ) Qestion 5 c Using a 40 W heater, 16.3 g of ice is melted in 2.0 minutes. The heater is then switched off. In a further 2.0 minutes, 2.1 g of ice...
  44. R

    Molar Specific Heat: Translation Only

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  45. N

    How to find composition using Specific HEat

    IS it possible? say if the specific heat is 800 and the composition is made up of 2 materials one which has specific heat of 850 and the other of 750
  46. D

    Specific heat capacity lab (DUE TOMORROW PLEASE HELP)

    Homework Statement I heated 50mL of water in a Dewar and measured the temp. change with time. however, this only gives me the heat capacity of the system. I again measured but with 100mL of water, in an attempt to correct for the unknown heat capacity of everything but the water. However...
  47. N

    Unknown SPecific Heat Capacity

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  48. B

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  49. M

    Specific Heat Capacity Question - Unknown Mass

    Q. Thermal energy is supplied to a melting solid at a constant rate of 2000 W. Calculate the mass of the solid changed to liquid in 2.0 minutes. Assume that the specific latent heat of fusion of the solid is 95 000 J kg-1 and that heat exchange with the surroundings may be neglected. I was...
  50. P

    Specific Heat Capacity of Ice, Help

    Homework Statement The following data is obtained: Weight of ice cube added 20 g Weight of copper calorimeter 80.5 g Weight of water in calorimeter 105 g Initial temp of ice cube -18 deg C Initial temp of water 23 deg C Final temp of water 6 deg C Specific Heat Capacity copper 385 J...
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