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. D

    Which liquid have low specific heat capacity

    can you please state some liquid which is a good heat conductor (which have low specific heat capacity)
  2. S

    Specific Heat Capacity and Thermal Conductivity

    Homework Statement To summarize, I am given 6 objects and their corresponding specific heat capacity and thermal conductivity values. All objects have the same mass. The question is asking me to rank the objects based on temperature if they are put in a hot oven until they reach thermal...
  3. D

    Specific Heat Capacity of a cylinder in boiling water

    Homework Statement Finding the specific heat capacity of an unknown metal. A cylinder was placed into boiling water, originally at 24.2 C. The heat transferred from the metal, and the water then was 29.5 C. Original Temperature-24.2 C Temperature after the metal has been placed into the...
  4. K

    Help finding specific heat of metal in calorimeter

    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...
  5. K

    Calculating Specific Heat of Alcohol Using a Copper Calorimeter

    Homework Statement A mass of 200 grams of copper, whose specific heat is 0.095, is heated to 100° C, and placed in 100 grams of alcohol at 8° C contained in a copper calorimeter, whose mass is 25 grams, and the temperature rises 28.5°C. Find the specific heat of the alcohol. Homework...
  6. Wellesley

    Specific Heat molten lead Question

    Homework Statement If you pour 0.50 kg of molten lead at 328°C into 2.5 liters of water at 20°C, what will be the final temperatures of the water and the lead? The specific heat of (solid) lead has an average value of 3.4 X 10-2 kcal/kg • °C over the relevant temperature range.Homework...
  7. T

    Specific Heat Capacity Question

    A bath contains 110 litres of water where 1 litre has a mass of 1kg. a) Given that the specific heat capacity of water is 4200JKg-1K-1, calculate the energy required to raise the temperature of the water from 10'C to 40'C. b) As the water flows through the copper pipes, it is heated from...
  8. T

    Finding molecular weight from specific heat at constant volume

    The specific heat at constant volume of an unknown solid is measured at high temperature to be 319.5Jkg-1K-1. Estimate its molecular weight. Cv=3R Attempt. I used the above equation to get a mass of the solid to be 0.0128kg but I have no idea of what to do next!
  9. D

    Someone me specific heat capacity?

    "What is the specific heat capacity of a 50-gram piece of 100 degree C metal that will change 400 grams of 20 degrees C water to 22 degrees C? Could someone please explain to me how to do this problem? I have to figure it out on my own because my teacher is no help at all. Thanks in advance.
  10. K

    Finding specific heat with unknown Q

    Homework Statement Hello, I'm having some trouble with a lab report. I am supposed to find the specific heat of five metals but I don't know exactly how to use the equation correctly. for instance I have copper at 70.2g, the delta T at 1.8 degrees Celsius, specific heat of copper is 385...
  11. T

    Helpp with thermodynamics and specific heat question

    For an ideal monatomic gas, the molar specific heat at constant volume, Cv=3/2R, where R is the gas constant. The heat capacity at constant volume of a gas is measured to be 43.58kJK-1. How many kg-moles of the gas are present? Iv tried looking in the lecture notes and in the...
  12. D

    How Are Specific Heat of Fe and Molar Mass of Sn Calculated?

    Given the molar mass of Fe and the specific heat of Sn, what is the specific heat of Fe and the molar mass of Sn in approximate values?
  13. T

    How Does Dimensionality Affect Specific Heat in the Debye Model?

    Homework Statement Consider a linear array of N similar atoms, the separation between nearest neighbours being a. Discuss the specific heat of the system on the basis of the Debye approximation and show that at low temperatures, the specific heat would be expected to be proportional to T...
  14. C

    Rate of heat transfer / specific heat

    I am digging back thorugh thermodynamics textbooks, and am seeing insulation values etc. but none on how to solve for time required to heat a material. Here is the specific problem. I am trying to fgure out how long its takes to cool (or alternately heat) a concrete slab. The slab is 8...
  15. K

    Specific Heat Problem in Celsius

    Homework Statement The specific heat of substance X is 200 J/g*C, how much heat is required to change the temperature of 2.0 kilograms of substance X from 40 degrees Celsius to 55 degrees Celsius? Homework Equations Q=(m)(c)(change T) The Attempt at a Solution 55 C-40 C= 15 C...
  16. R

    A rebound and kinetic energy problem with a little specific heat

    Homework Statement A ball is thrown vertically downward strikes a surface with a speed of 15m/s. It then bounces, and reaches a maximum height of 5 meters. Neglect air resistance on the ball. a) What is the speed of the ball immediately after it rebounds from the surface? b)What fraction...
  17. L

    Need help with basic specific heat capacity problem

    Homework Statement The specific heat of a certain metal can be determined by measuring the temperature change that occurs when a piece of the metal is heated and then placed in an insulated container that is made of the same material and contains water. Suppose the piece of metal has a mass of...
  18. P

    Determine the Specific Heat Capacity

    Hello, everyone. Homework Statement Now, I recently did an experiment in school to determine the Specific Heat Capacity of rubber using a calorimeter. We're using the mixing method to figure it out. The mass of the calorimeter, rubber and water was measured. And the S.H.C is already known...
  19. E

    Distance between hydrogen molecules in H2 using specific heat capacity

    Homework Statement Below about 80 K the heat capacity at constant volume for hydrogen gas (H2) is 3/2k per molecule, but at higher temperatures the heat capacity increases to 5/2k per molecule due to contributions from rotational energy states. Use these observations to estimate the distance...
  20. L

    Specific Heat Capacity: Mass, Temp, Time Factors

    Is it possible to find specific heat capacity given mass, initial and final temperature, and time? The liquid in question has not been given
  21. C

    Specific Heat Problem and boiling water

    Homework Statement 140 grams of boiling water (temperature 100° C, heat capacity 4.2 J/gram/K) are poured into an aluminum pan whose mass is 1100 grams and initial temperature 24° C (the heat capacity of aluminum is 0.9 J/gram/K). After a short time, what is the temperature of the water...
  22. C

    Specific heat capacity and friction

    1. The tangential frictional force exerted by a band brakes on a rotating metal drum of circumference 0.25m is found to be 20N. If the mass of the drum is 0.4kg and its specific heat capacity is 0.35 kJ/kg K, calculate the number of complete revolutions of the drum are required to increase its...
  23. B

    Specific heat problem finding final temp with calorimeter system

    Homework Statement A 34 g block of ice is cooled to -75°C. It is added to 562 g of water in an 80 g copper calorimeter at a temperature of 22°C. Find the final temperature. (The specific heat of copper is 387 J/kg ·°C and the specific heat of ice is 2090 J/kg ·°C. The latent heat of fusion...
  24. G

    Calculate Molar Specific Heat of Substance: 284J, 22.0°C to 39.5°C

    Homework Statement A certain substance has a mass per mole of 55 g/mol. When 284 J is added as heat to a 32.0 g sample of this material, its temperature rises from 22.0°C to 39.5°C And I know that the specific heat of this substance is 507.14 J/[kg(K)] Homework Equations Q =...
  25. R

    Using specific heat stuff to find amount of heat(Q=mCT)

    Homework Statement Beryllium has roughly one-half the specific heat of liquid water (H2O). Rank the quantities of energy input required to produce the following changes from the largest to the smallest. In your ranking, note any cases of equality. (Use only the symbols > or =, for example...
  26. C

    How to measure specific heat capacity of tap water using a microwave oven

    Hi, Can someone please give me some suggestions on how to use a microwave oven to determine the specific heat capacity of tap water? This is not a homework question, but an assignment and I have absolutely no idea how I can do this.This experiment will be done at home, so please no immersion...
  27. K

    Can ml be converted to grams in Heat Capacity and Specific Heat problems?

    Homework Statement Is it possible to convert ml to grams for a Heat Capacity and Specific Heat type of problem? The problems that I have done so far did not use ml at all. I am stuck with the following problem: A piece of stainless steel (specific heat = 0.50 J g-1 oC-1 ) is taken from an...
  28. J

    Calculating Specific Heat: 13g Sample Loses 25.8J

    When 13 grams of a sample cools from 56◦C to 34.4◦C it loses 25.8 Joules of heat. What is the specific heat of the sample? Answer in units of J/g ·◦ C. I know it seems simple, but I completely forgot how to do this. Please help.
  29. S

    How do I calculate specific heat capacity in a lab report?

    Homework Statement Homework Equations i have a problem solving this foe my lab report..i just don't get the formula heres the data: ethylene glycol...its mass is 200 g ,initial temperature 22C, temperature after heated 100C what is its heat capcity? metal and water mass of...
  30. R

    The Molar Specific Heat (internal energy)

    Homework Statement One mole of an ideal diatomic gas undergoes a transition from. a to c along the diagonal path What is the change in internal energy? Homework Equations The Attempt at a Solution I've tried to use the two other paths since the internal energy is the same both...
  31. F

    Specific heat capacity, latent heat => ice water steam mixture

    Homework Statement A quantity of 100g of ice at 0°C and 50g steam at 100°C are added to a container that has 150g water at 30°C. What is the final temp of the container? Ignore the container itself in the calc. Homework Equations Q=mc (change in T) Q=mLThe Attempt at a Solution I know how to...
  32. K

    Specific heat capacity of a mystery metal

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  33. F

    Specific heat capacity

    can anybody tell me how the specific heat capacity varies with pressure and temperature for superheated vapors thanks
  34. S

    Specific heat of solid of one dimensional quartic oscillators

    Homework Statement A system consists of N very weakly interacting particles at temperature T sufficiently high so that classical stat mech is applicable. Each particle has mass M and is free to perform one dimensional oscillations about its equilibrium position. Calculate the heat capacity...
  35. P

    Specific heat of different materials

    if I have 3 materials and mixed it, can I compute for the specific heat of the "mixed" material? i have the data of the specific heat of each of the material and the precentage by weight. example: material 1 is 46% of the total weight, material 2 is 52% and material 3 is 2% cd =...
  36. R

    How Do You Calculate the Power of a Heater in a Vending Machine?

    Just revising for my practical physics exam tomorrow and got stuck on this! not sure if its correct, just annpyed me that i was unsure! Homework Statement A vending machine for serving hot drinks has a tank of capacity 7.5 litres, and the manufactuurers say that 45 cups of hot water (at 99o...
  37. C

    What Is the Final Temperature When Ice Melts in Water?

    Homework Statement An insulated cup contains 1kg of water initially at 20 C. 0.50 kg of ice, initially at 0 C is added to the cup of water. The water and ice are allowed to come to thermal equilibrium. The specific heat of ice is 2000 J/kg oC, the specific heat of water 4186 J/kg oC...
  38. F

    Lab Help, Heat of Fusion and Specific Heat?

    Homework Statement Were doing this lab that is related to finding the specific heat and heat of fusion of water. To put the lab simply we filled aluminum calorimeters with water that's around 35°C. After that we took a handful of ice and it into the calorimeter full of water and measured the...
  39. S

    Calculate the specific heat capacity of this metal

    When a 35 gram piece of some metal at 100°C is placed in water, it loses 775 calories of heat while cooling to 30°C. Calculate the specific heat capacity of this metal. Q = mc(DELTA)T T = 70 degrees C m = 35 g Q = 775 cal ?? When i plugged it in i got 0.34 but the program said it...
  40. S

    Thermodynamics: Finding Specific Heat of Ice

    Homework Statement It takes 15 seconds to warm ice 15 degrees ( -15 degrees celsius to 0 degrees celsius). The ice has a mass of .25 kg. The energy is supplied at 530 W to the ice. Homework Equations Q = mc delta T The Attempt at a Solution I plugged in all the information for Q...
  41. M

    Newton's Law of Cooling. little question about 'Specific heat' of Mercury

    Newton's Law of Cooling Time Required to Cool (or heat) an Object [Also known as Newton's Law of Cooling] t=mCp(Ts-Tf)/Q Where; Q is the heat added (or being removed) from the object in watts m is the mass (weight) of the object in Kg Cp is the Specific heat of the object...
  42. P

    Specific Heat vs Thermal Conductivity

    can anyone explain the relationship between specific heat and thermal conductivity?
  43. J

    Specific heat problem simple, but im missing something ?

    specific heat problem...simple, but I am missing something ? Homework Statement Trying to beat the heat of the last summer, a physics grad student went to the local toy store and purchased a plastic child's swimming pool. Upon returning home, he filled it with 200 liters of water at 25 C...
  44. E

    Effect of specific heat of a substance on the rate of heat flow

    I have been wondering, does specific heat capacity affect the rate of heat flow from one substance to another? For example if the substances at heated up to the same temperature then left outside until thermal equilibrium is reached. I would think the one with the larger specific heat...
  45. C

    Specific Heat Capacity Question

    Homework Statement How much milk at 11 degrees Celcius was added to 0.16 kg of coffee at 91 degrees Celcius if the final temperature is 76.8 degrees Celcius? Homework Equations Well my teacher explained how to rearrange cm∆T = cm∆T to somehow come up with an equation to solve for the...
  46. C

    How Much Ice Was Added to Cool the Lemonade?

    Homework Statement How much ice was added to a 0.75 kg jug of lemonade at 15 degrees celcius if the final temperature of the jug is 8 degrees celcius? (Assume the lemonade has the specific heat capacity of water.) Homework Equations Q = cm∆T The Attempt at a Solution Well I think I...
  47. F

    Solution with high specific heat.

    Hi, I want to know how I could produce a solution with a high specific heat, meaning it could store a huge amount of energy for each celsius degree raised. Im planing on using water as the solvent but I am having a hard time finding the right ions or molecules to make this solution able to...
  48. D

    Specific Heat Capacity? Calorimeter

    im doing a calorimeter experiment and need to find the specific heat capacity of the calorimeter, but always gets a negative answer. Initial temp = 23 C Final temp = 60 C Change in temp = 37 C Mass of calorimeter = 0.027645kg Mass of water = 0.1kg Specific heat capacity water = 4200...
  49. V

    Double-Check Homework: Specific Heat & Melting Ice

    Hoping someone could double-check for me... Homework Statement 1) A 90 g block of unknown metal is heated to 86 degrees C and put in an insulated cup with 175 g water at 23 degrees C. At equilibrium, they are both 25.8 degrees C. What is the specific heat of the metal block? 2) A well...
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