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.
Homework Statement
Suppose that 31.4 J of heat is added to an ideal gas. The gas expands at a constant
pressure of 1.40x104 Pa while changing its volume from 3.00x104 to 8.00x104 m3.
The gas is not monatomic, so the relation CP = 5/2R does not apply. (a) Determine the
change in the internal...
Homework Statement
Ideal gas of point particles is expanding so that its molar heat capacity Cx is constant and the work done by gas is W = 156J. Then the gas is isochorically heated to the initial temperature by receiving the quantity of heat which is Q = 125 J. Find Cx.
Homework...
Hi all, could somebody have a look over my answers for this question please? The value I got for the second part seems quite feeble.
Homework Statement
The Attempt at a Solution
Part a)
Key
m = mass
cs = specific heat bronze
cm = specific heat molten bronze
Tfus = melting...
I have to use this specific heat value to calculate the heat load for designing a machine as refrigerator.
Could you please help me to find accurate value.
ps. This normal saline is used for medication.
Homework Statement
I have a problem that I've mostly solved using Ideal-gas specific heats for Oxygen. It has the form C_p = a + bT + cT^2 + dT^3
I am supposed to give the answer in English units of \frac{Btu}{lbm}, but I am having some difficulties in my conversion.
Homework...
The portion highlighted in the paint document, is the only the specific heat for ice at -10 deg celc?
What is the specific heat of ice in the interval of [-273.15,-10) and (10,0] (In deg celc) ??
A spark does not cause injury when it strikes the skin of a child. If you touch the burning stem, it can cause severe burn on your fingers? WHY?
What's the difference between specific heat capacity and heat capacity?
Hi all,
I need the relationship between cast iron specific heat and temperature in order to perform a disc brake thermal analysis. Where could I get this data? I just need average values for a typical cast iron used for disc brakes.
Any suggestion is appreciated
Thanks
I am currently in the process of designing a section of pipe in which a fluid will flow within, and would like to determine the specific heat transfer which may occur once the fluid enters the pipe, until it exits. The fluid will be flowing at a constant velocity "V" at a Temperature "T1" at...
Hi everyone
I have trouble with this task
Homework Statement
the specific heat cv is given by
c_v =\frac {N_A k_b \hbar^2}{{\Omega_D}^3 {k_b}^2 T^2} \int \limits_{0}^{\Omega_D} \! \frac {\Omega^4 exp\frac{\hbar \Omega}{k_b T}}{{(exp\frac{\hbar \Omega}{k_b T}-1})^2} \, d\Omega
I...
Homework Statement
100g of lead, specific heat .0345 cal/g/C at 100 C is mixed with 200 g of water at 20 C.
Find the difference in entropy of system at end from value before mixing.
Note: I think the book has wrong answer of 1.42 cal/K
Homework Equations
Before mixing entropy for water =...
Homework Statement
I took a test and got it back I'm wondering if my prof. definition is correct.
The heat required per unit mass of a substance to produce a phase change is called?
A. specific heat B. Specific heat capacity C. latent heat
I said it was C.
He say's B
Please...
Now consider two objects,A and B. A has a higher specific heat capacity that B. When both object is subjected to same amount of thermal or heat energy, rise in temperature in A is lower as our common reason(A has a higher specific heat capacity)
But what stated by First law of thermodynamics...
Homework Statement
A block of ice has a mass of 150g and a temperature of -4°. The ice is melted by supplying 60KJ heat energy. Determine the final temperature of the melted water.
Homework Equations
Equations i think can be used:
Q = ml and H = mcΔθ
The Attempt at a Solution...
Homework Statement
You have a position working with a group investigating biological mechanisms that
determine a predisposition to obesity. Your assignment is to measure the rate that
energy is output by certain types of cells when a nutrient is introduced. To begin this
study, you have...
If I use the answer given in the book for part a, I can get the correct answers for b and c. However, I do not know what I have done wrong in part a? My best guess would be that assuming the blood evaporates at 100 degrees is incorrect? The answer given in the book is 5.1*10^{-3}J
Homework Statement
Here g(ε_f) is the density of levels at the Fermi energy and T is the temperature. Calculate the specific heat of the electron gas in potassium (K) treating it as a free gas. For a free gas the density of electrons at ε_f is: g(ε_f)=(3/2)(n/E_f) where n is the electron...
Hi boys and girls.
I am looking for Specific heat capacity of Argon dependence on temperature but i can't seem to find it anywhere. Do you have some source where I could get it from?. I need it for temperatures up to 1300K since i need to evaluate enthalpy of fumes at the exit from a gas...
Why is the specific heat capacity of most solids around 25JK-1mol-1?
I remember being told ages ago that is was something to do with the theory of equipartition but I'm not really sure how that theory affects it or why it's around 25JK-1mol-1
Can someone please tell me what does the symbol H and what does the symbol U represent in these equations: http://www.taftan.com/thermodynamics/CP.HTM"][/PLAIN]
http://www.taftan.com/thermodynamics/CP.HTM
Homework Statement
I have some boiling water that I am adding potatoes to. I am asked to find the final temp after the potatoes have been added to the boiling water.
Tiw=100C (initial boiling water temp)
Tip=30C (initial room temp potatoes)
mp=0.5kg (mass of potatoes)
mw=1.5L or 1.5kg (mass...
1. Suppose that 25 J of heat is added to one mole of an ideal gas. The gas expands at a constant pressure of 2.62 x 10^4 pascals while changing its volume rom 4.97 x 10^-4 m^3 to 7.02 x 10^-4 m^3. Calculate C_p and express in Joule / (mole * Celsius)
2. Relevant equations
Q =...
Homework Statement
Suppose molten (liquid) lead, mass ml = 9.83 kg, is at its melting point. The lead is poured into water of mass mw = 585 g and initial temperature Tw = 16.2 C. Find mwb, the amount of the water that boils.
NOTE: Reaching the boiling point is not enough; the question asks...
Homework Statement
Let 25.6 J of heat be added to a particular ideal gas. As a result, its volume changes from 41.0 to 82.0 cm3 while the pressure remains constant at 1 atm(= 101 kPa).
a) By how much did the internal energy of the gas change? -- 21.5 J got this part
b) What is the molar...
Homework Statement
Hi.
I have an assignment to find the specific heat capacity of water. We did an experiment in class where we used an electric kettle with power output of 1850W-2200W to heat up 1,400g of water (we actually used 1,400 mL of tap water but we were told to assume that the tap...
Homework Statement
At very low temperatures, the molar specific heat of many substances varies as the cube of the absolute temperature: C=k*(T^3/To^3),
which is sometimes called Debye's law. For rock salt, To= 281K and k= 1940 J/mol*K
Determine the heat needed to raise 2.40 mol of salt from...
Homework Statement
Hi all. This isn't homework per say, more lack of understanding of something when reading around the notes.My problem is in trying to derive the electronic specific heat constant γ in 2 dimensions.
Homework Equations
I know the general formula for specific heat is c^{el}...
Homework Statement
What is the heat capacity of water in J*g*°C
Homework EquationsA 74.8 sample of copper at 143.2g
is added to an insulated vessel containing 165ml of water, Density of water = 1.00 at 25.0 °C.
The final temperature is 29.7° C
The specific heat of copper is 0.385 J*g*°C...
Homework Statement
A 500.0-g chunk of unknown metal, which has been in boiling water for several minutes, is quickly dropped into an insulating Styrofoam beaker containing 1.00 kg of water at room temperature (20.0 C). After waiting and stirring for 5.00 minutes, you observe that the water's...
Can we define specific heat capacity for an adiabatic process ??
Would it always be zero since dQ is 0 for an adiabatic process?
Also, can we define specific heat capacity for isothermal processes ?
Would it be infinity in all cases?
Just want to verify if I am thinking along the...
A liquid contained in an adiabatic container is shaked vigorously so that it its temp. Increases.
The heat capacity for the liquid is given, the rise in temp. Is given.
According to the first law of thermo, dQ=dW + dU
here dQ is 0.
Asked, is to find the work done on the system, i.e...
Homework Statement
I was wondering, how can i measure the specific heat capacity of a solution? Not the exercise, just doing an experimental work to measure it.
Homework Equations
q=mct
The Attempt at a Solution
I'm lost.
Homework Statement
i getting the wrong the answer
i am
trying to find the specific heat capacity of brass
using copper calorimeter
Data :
mass of brass bob= 32.5gm
mass of calorimeter = 39.7 gm
mass of water + calorimeter = 93.9gm
mass of water = 93.9 - 39.7 = 54.2g
specific...
Homework Statement
A 2.8 kg sample of a metal with a specific heat of 0.43KJ/KgC is heated to 100.0C then placed in a 50.0 g sample of water at 30.0C.* What is the final temperature of the metal and the water?
Homework Equations
heat loss by the metal = heat gain by the water
The...
C_{V} = \frac{∂U}{∂T}
This is the specific heat at constant volume so I assume it can only be used at constant volume. However, my textbook uses this to derive the following equation for reversible adiabatic expansion:
P_{1}V_{1}^{γ} = P_{2}V_{2}^{γ}
Why are we allowed to use C_{V}...
Homework Statement
Some aluminum rivets of total mass 170 g at 100°C are emptied into a hole in a large block of ice at 0°C'
a. What will be the final temperature of the rivets?
b. How much ice will melt?
Homework Equations
none
The Attempt at a Solution
Please help me answer...
what is the relation between Specific Heat and Absolute Temperature of any material ?
Specifically, Sodium.
Cp vs T ( not the change in temperature)
Any mathematical formula ?
Thanks
I got a problem with this one, please help me,
Tantalum is an element that is used in aircraft parts. Tantalum has a specific heat capacity of about 140 J/kg K. The aircraft part has a mass of 0.23 kg and is cooled from a temperature of 1200 K by being placed in water. If 30000 J of heat is...
Hello There,
So I made a plot of some specific heats in refprop, and I chose the "Draw Saturation Lines" option. When I did this, the follow chart was produced.
http://i.imgur.com/h34Pq.png
Now my question is, what are these saturation lines representing?
-TP
Im sorry to ask such a question but I've been trying to understand the molecular reasons for why specific heat is high in some molecules but low in others. For example water has a specific heat of 4180 yet has a boiling point of 100 degrees Celsius but ethylene glycol (ethane 1,2 di-ol) has a...
Specific Heat: Bond or Freedom of Degree Based, Or Size??
Okay so I've been trying to understand what causes one substance to have a higher specific heat then other but I've read quite a few conflicting sources in which one says its due to the freedom of degree, while another says the weight of...
Homework Statement
Okay I have to write an EEI (Extended Experimental Investigation) for physics in relation to which radiator coolant is best from a thermodynamics point of view, thus the specific heat of the coolant is the main focus. But to incorporate more depth into the report, I was going...
Recently, I did a physics lab experiment to find the specific heat capacity of an unknown sample material. The lab instructions kept insisting that the sample had to be kept in boiling water for at least 10 minutes. My question is why? Could I have found the specific heat capacity if the sample...
Homework Statement
Have to do a write up of an experiment on specific heat capacity of metals. Tested 50g of nickel and lead, each heated to 90C and then put into 50g of water and measuring the change in its temperature. Found that lead has a lower specific heat capacity.
Homework Equations...
Newton's Law of Cooling basically states (I believe):
TObj = (TInital-TEnv)ekt + TEnv
where k is a property of the material.
In the equation:
Q=mCΔT
Specific heat capacity, C, is also a material property.
So here's my question:
Is there a relation between Newton's Law's k and the...
Below 20K, The specific heat capacity c of silver varies with temperature according to the equationc/\text{J /kg /K} = 1.5x10^{-4}(T/K)^3 + 6.0x10^{-3} T/K.
If a small silver sphere of diameter 4am and at 20K is placed in 25g of liquid helium at 4K, what fraction of the liquid will evaporate...
Homework Statement
0.2g of a radium salt was separated from a ton of uranium ore. The radioactive radium nuclide Ra-226 decays by alpha-particle emission with a half-life of 1600 years. 1 year = 3.16x107s.
The curie is defined as the number of disintegrations per second from 1.0g of Ra...