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.
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...
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...
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...
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...
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:
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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...
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?
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...
This is a really simple problem, but I just can't remember how to combine the container and the water.
Homework Statement
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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...
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
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
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...
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...
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...
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Please, can...
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...
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...
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...
a.Determine the amount of energy to raise the temperature of 18 kg of carbon from -5^0C to 17^0C.
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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...
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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...
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...
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...
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...
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Remember ice and water do not have the same specific heat.
I can use the relation for specific heat?
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...
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...
Homework Statement
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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
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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.
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Homework Statement
heating .50kg of diet cola mostly water, by
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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...
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I know that the molar specific heat of the...
[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...
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Homework Equations
q= cg(Delta T)
M=DV
The Attempt at a Solution
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Hi this is my first post and I'm stumped on my last HW problem, so I'm open to suggestions or solutions.
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Homework Statement
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Specific Heat...Please help!
Homework Statement
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