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.

View More On Wikipedia.org
  1. D

    Acids/Bases Specific Heat Capacity: 4.18J?

    if I am doing a reaction of acids and bases, do i just use the specific heat capacity of 4.18J, or is there a different one for different solutions?!?
  2. J

    Deriving Specific Heat Equations

    Homework Statement Derive the Following Equations: c = [(m_w*c_w + m_c*c_al) (T_e - T_i)] / m_s*(T_s - T_e) and L = (m_w*c_w + m_c*c_al) * (T_i - T_e) - m_I*c_w * [(T_e- T_m)/m_I] Homework Equations T_i - initial temp of water and calorimeter T_m - melting temp of ice T_e -...
  3. V

    Specific heat capacity at constant pressure

    I've read that: specific heat capacity at constant pressure = dU-W / m. dT dU = change in internal energy W = work done m = mass of gas dT = change in temperature ----------------------------------- However, shouldn't the right hand side equate to specific heat capacity at...
  4. I

    Molar Specific Heat Homework: Calculating Change in Internal Energy

    Homework Statement Let 25.2 J of heat be added to a particular ideal gas. As a result, its volume changes from 46.0 to 101.2 cm3 while the pressure remains constant at 1.0 atm. By how much did the internal energy of the gas change? 19.6 J is the answer which i understand how to get the...
  5. S

    Specific heat of combustion? help

    specific heat of combustion?? help Homework Statement Chemical Properties of gasoline components Using C5 to C10 hydrocarbons, conduct an experiment to determine the effect of one property of the hydrocarbon on the specific heat of combustion. Homework Equations The Attempt at a...
  6. T

    Specific Heat and Maybe Latent Heat also

    Homework Statement Several small piece of aluminum, having total (combined) mass of 2.5 kg are placed in liquid nitrogen and, when removed, are at a temperature of -135C. The aluminum is transferred to an insulating container with 0.50 kg of water. The water is at 25.0C [ Ignore heat lost from...
  7. F

    Non-Isentropic Diesel Cycle (with variable specific heat)

    Homework Statement I must find temperature at each state, for starters. This is a Diesel cycle with a non-isentropic compression process, but standard the rest of the way. The specific heat is variable with temperature. Fluid is air Givens: compression efficiency (\eta_{c}), initial...
  8. M

    Physics: Specific heat capacity of a solid

    Homework Statement The diagram below shows a one-dimensional row of 5 microscopic objects each of mass 410-26 kg, connected by forces that can be modeled by springs of stiffness 26 N/m (so each object can be modeled as if it were connected to a single spring of effective stiffness 4ks = 104 N/m...
  9. K

    What is the Specific Heat of My Alloy?

    I have an alloy and found the average specific heat of the metal to be 289 J/kg°C. I need to know what type of metal it is. I've looked at several different tables of specific heats, but can't find what I'm looking for. Can anyone help me?
  10. J

    Thermodyanmics, specific heat capacity

    Homework Statement a 4kg iron hammer is initally 700 degree celcius is droppped into a bucket containing 20kg of water at 25degree celcius. what is the final temperture Homework Equations q=mc(delta)T The Attempt at a Solution m1=4kg m2=20kg T1=700=973K T2=25=298 i know...
  11. X

    What is the final temperature for combining aluminum container and water?

    This is a really simple problem, but I just can't remember how to combine the container and the water. Homework Statement An aluminum container weighing 200g contains 500g of water at 20*c. A 300g shot of the same aluminum at 100*c is put into the water. The specific heat for the aluminum...
  12. E

    Specific heat capacity of steel?

    Does anyone know where I might be able to find the specific heat capacity of steel (in English units)? Thank you!
  13. 9

    Solving Specific Heat Problem: Copper Calorimeter

    Specific Heat-- please help! Homework Statement A piece of copper of mass 0.5 kg is heated to 610 degrees celcius and then dropped into a copper calorimeter of mass 0.11 kg containing 0.13 kg of water at 21 degrees celcius. If the specific heat of copper is 390 J/Kg/K, calculate the mass of...
  14. S

    High pressure gases specific heat

    I want to calculate the reaction heat in a ammonia convertor but I need some specific heats of N2,NH3,Ar and CH4 at 500°C and 200bar. I could find data at 500°C but not at that pressure. thanks Stefaan
  15. M

    Unpacking the Meaning of Specific Heat Capacity in Base Units

    specific heat capacity is measured in joule per gram-kelvin (J g–1 K–1). In base units it is m2 s-2 k-1. Is that meaningless to express specific heat capacity in base units? Is there an explanation? Thanks Nick
  16. A

    Heat and Internal Energy and Heat and Temperature Change: Specific Heat Capacity

    Homework Statement When you take a bath, how many kilograms of hot water (49°C) must you mix with cold water (12°C) so that the temperature of the bath is 36°C? The total mass of water (hot plus cold) is 191 kg. Ignore any heat flow between the water and its external surroundings. Temperature...
  17. C

    Need to find Density and specific heat of NaOH

    Homework Statement We're finding calorimeter constants and we're using NaOH as one of the products. Our professor failed to provide us with the density or specific heat of the substance we were using, instead he provided it for .5 M of NaCl. I needed to find out the specific heat and density...
  18. R

    Solving Specific Heat Problem for Oven Mitt Design

    Homework Statement 1. You are designing an oven mitt and you know the amount of heat (200J), the mass the mitt needs to be (5g), and the change in temperature it will undergo (25-500 F). What is the specific heat that your oven mitt needs to be? Homework Equations Q = mcΔT The...
  19. D

    Specific Heat Capacity and final temperature

    I am stuck on my Physics work. I have already completed the first 10 questions but I do not understand these, can someone please help me with a method of how to find out. 1. When 0.25kg or water at 70C is mixed with water at 20C the final temperature of the mixture is 30C. find the mass of...
  20. J

    Specific Heat homework problem

    A 215-g sample of a substance is heated to 330°C and then plunged into a 105-g aluminum calorimeter cup containing 165 g of water and a 17-g glass thermometer at 12.5°C. The final temperature is 35.0°C. What is the specific heat of the substance? (Assume no water boils away.) Please, can...
  21. E

    Why Does Equilibrium Temperature in a Specific Heat Lab Ensure Accurate Results?

    For my most recent lab, the goal was to find the specific heat of lead metal shot. The procedure of the experiment consisted of using the method of mixtures. In this procedure, the room temperature Tr is first measured. Then, an insulated calorimeter cup is filled with water, and the temperature...
  22. E

    Specific heat lab question

    For my most recent lab, the goal was to find the specific heat of lead metal shot. The procedure of the experiment consisted of using the method of mixtures. In this procedure, the room temperature Tr is first measured. Then, an insulated calorimeter cup is filled with water, and the...
  23. L

    How Do You Calculate Specific Heat and Identify Unknown Substances?

    Need help... Dont know how to solve correctly. a) Determine the amount of energy to raise the temperature of 18kg of carbon from -5celsius to 17celsius. b) 200g of a certain substance absorbs 7320J of energy and experienced a temperature rise form 5celsius to 30celsius. By calculating its...
  24. L

    Discover Specific Heat Calculations for Carbon and Unknown Substance

    a.Determine the amount of energy to raise the temperature of 18 kg of carbon from -5^0C to 17^0C. B. 200g of a certain substance absorbs 7320 J of energy and experienced a temperature rise from 5^0C to 30^0C. By calcuating its "C" value, identify as near as possible, the unknown substance...
  25. Y

    How Fast Must a Bullet Travel to Melt on Impact?

    Homework Statement At a crime scene, the forensic investigator notes that the 7.2- lead bullet that was stopped in a doorframe apparently melted completely on impact. Assuming the bullet was shot at room temperature 30, what does the investigator calculate as the minimum muzzle velocity of the...
  26. M

    Measuring Specific Heat of Paraffin Using Cooling Method

    I am going my coursework. My aim is to determine the specific heat of paraffin using the cooling method. I was wondering what would be the systematics errors?
  27. G

    Specific heat capacity for a monocromatic gas

    is there another way of considering the specific heat capaciaty of a material (many gas) other than with respect to the number of degrees of freedom with gives a constant out put for all monocrmatic gases for all temperature and pressure. For a monocromatic gas c=(3/2)*n*R*m where m = mass...
  28. K

    Specific Heat of CO2 and Methane Combustion

    Hi, Could you please confirm these estimations for me: Knowing that the Energy of Combustion of CH4 is 50.1 KJ/Kg, and that the specific heat for the CO2 at 273.15 K is approximately 0.81 KJ/Kg*K; please, could you confirm that in order to increase the temperature of 1 liter of gas of CO2...
  29. C

    Specific Heat Capacity & Temperature

    This is not a homework question, just a question about physics that seems too basic to post in the main physics discussion forum. Please let me know if it is misplaced. Temperature is average molecular kinetic energy. Is it therefore correct to say that a material's specific heat capacity...
  30. S

    Specific Heat Capacity question

    Homework Statement If 100 mL test of water at 60°C is added to 100 mL of water at 20°C, then the final temperature of the water will be? Homework Equations c=Specific Heat Capacity Specific Heat Capacity of water = 4186 Quantity of Heat Energy=mass * Specific Heat Capacity of...
  31. I

    How Much Heat Is Needed to Convert 1 kg of Ice at -100°C to Steam at 100°C?

    How much heat is needed to convert 1 kg of ice at −100C to steam at 1000C?. Remember ice and water do not have the same specific heat. I can use the relation for specific heat?
  32. S

    Specific Heat / Debye Temperature

    Homework Statement At what temperature T does the specific heat of the free electrons become larger than the specific heat of the lattice? Express T in terms of the Debye temperature and the electron concentration. Calculate T for copper (Debye = 343 K). Homework Equations...
  33. C

    [Thermo] Equation of State Given, Find Internal Energy and Specific Heat

    Homework Statement P=RT/(v-b) - a/(T(V+c)^2) Homework Equations u2-u1= Integral ( Cv dT) + Integral ( T * (dP/dT)v - P) dV The Attempt at a Solution I've differentiated P with respect to T to get R/(v-b)+a/(T^2(V+C)^2 and plugged the relevants back into the equation for...
  34. T

    Formula relating specific heat and photons

    Homework Statement What is the algebraic expression for the number N of photons that must be absorbed to cause the indicated increase in temperature? Express your answer in terms of the wavelength λ, the specific heat capacity csh, the mass m of the glass plate, the increase in temperature...
  35. H

    Pathria: Specific Heat in a gravitational field

    Homework Statement Pathria 6.8: Evaluate the partition function of a classical ideal gas consisting of N molecules of mass m confined to a cylinder of vertical height L, which is in a state of thermal equilibrium at constant T in a uniform gravitational field of acceleration g. Calculate the...
  36. B

    Calculating Specific Heat Capacity & Heat Measurement of HCl

    What is the specific heat capacity of HCl when given the following information: Volume: 50mL Initial Temp: 20 *C Final Temp: 26* C What is the heat measurement in Joules as well? What is the specific heat capacity of HCl when given the following information: Volume: 100mL Initial Temp...
  37. A

    What is the sample's specific heat?

    Homework Statement You are given a sample of metal and asked to determine its specific heat. You weigh the sample and find that its weight is 30.0 N. You carefully add 1.30×10^4 J of heat energy to the sample and find that its temperature rises 20.0 degrees C. What is the sample's specific...
  38. 0

    What is the amount of steam needed to heat 0.50kg of diet cola to 90 deg C?

    Homework Statement heating .50kg of diet cola mostly water, by adding steam. How much steam should be bubbled in so final temp. is 90 deg C Homework Equations what i tired so far downt know if it the right way to go abotu the problem is specific heat capacity Q=mc detlaT E tot of the...
  39. M

    Equation for molar specific heat

    n_1 moles of a monatomic gas and n_2 moles of a diatomic gas are mixed together in a container. Derive an expression for the molar specific heat at constant volume of the mixture. Expression must be in terms of n_1, n_2, and the gas constant R. I know that the molar specific heat of the...
  40. L

    Specific heat capacity (Calorimetry)

    [SOLVED] Specific heat capacity (Calorimetry) Homework Statement When a driver brakes an automobile, friction between the brake disks and the brake pads converts part of the car's translational kinetic energy to internal energy. If a 1500 kg automobile traveling at 32 m/s comes to a halt...
  41. M

    What is the Specific Heat of Coffee and the Human Body?

    Homework Statement I was having this discussion, and a friend of mine asked if swallowing hot coffee would denature the enzymes of the stomach Homework Equations q= cg(Delta T) M=DV The Attempt at a Solution First thing I did was assume coffee to be around 140 deg F. I then made...
  42. Saladsamurai

    Computing Mass of gas molecule from specific heat

    The mass of a gas molecule can be computed from its specific heat at constant volume c_v (note this is NOT C_v) Take c_v=0.075\frac{cal}{g*C} for argon and calculate (a) the mass of an argon atom and (b) the molar mass of argon. I just finshed the chapter on Kinetic Theory of gases, but...
  43. R

    Specific heat and latent heat of fusion

    Hi this is my first post and I'm stumped on my last HW problem, so I'm open to suggestions or solutions. 1. A jar of tea is placed in sunlight until it reaches an equilibrium temperature of 35°C. In an attempt to cool the liquid, which has a mass of 220 g, 112 g of ice at 0.0°C is added. At...
  44. R

    Specific Heat Problem and Thermos

    Homework Statement An insulated Thermos contains 127 cm3 of hot coffee at 79°. You put a 12.0 g ice cube at its melting point to cool the coffee. By how many degrees has your coffee cooled once the ice has melted and equilibrium is reached? Treat the coffee as though it were pure water and...
  45. C

    Specific heat of a piece of metal dropped in water

    Homework Statement A metal container, which has a mass of 8.0 kg contains 14.3 kg of water. A 2.9-kg piece of the same metal, initially at a temperature of 190.0°C, is dropped into the water. The container and the water initially have a temperature of 15.1°C and the final temperature of the...
  46. J

    Specific heat, latent heat, and temp

    The system, originally at T_A = 21.0 Celsius, is placed in a freezer, where energy is removed from it in the form of heat at a constant rate. The figure shows how the temperature of the system takes t_1 = 10 min = 600 s to drop to 0 Celsius, after which the water freezes. Once the freezing is...
  47. L

    How Much Power is Needed to Boil Water in a Coffee Mug?

    Homework Statement A 0.29 kg coffee mug is made from a material that has a specific heat capacity of 930 J/(kg·°C) and contains 0.23 kg of water. The cup and water are at 25°C. To make a cup of coffee, a small electric heater is immersed in the water and brings it to a boil in two minutes...
  48. J

    Specific heat and temp - please check

    In an insulated container, 0.50 kg of water at 80 degrees C is mixed with 0.050 kg of ice at -5.0 degrees C. After a while, all the ice melts, leaving only the water. Find the final temperature T_f of the water. The freezing point of water is 0 degrees C...
  49. B

    How Do You Calculate the Specific Heat of a Metal in a Water Container?

    Specific Heat...Please help! Homework Statement A metal container, which has a mass of 7.2 kg contains 14.7 kg of water. A 2.1-kg piece of the same metal, initially at a temperature of 200.0°C, is dropped into the water. The container and the water initially have a temperature of 14.3°C and...
Back
Top