Specific heat Definition and 481 Threads

I'm wondering if there's a simple relation between the specific heat capacity (at constant chemical potential) and the Helmholtz Free Energy? I can't seem to find a relation in the literature between these three quantities, specifically.

What is the specific heat of boiling water converting into steam?

Homework Statement What is the maximum mass of lead you could melt with 2000 J of heat, starting from 25 ∘C ? Lead melts at 328∘C , its specific heat is 128 J/(kg⋅K) , and its heat of fusion is 2.5×10^4 J/kg . Homework Equations Need to find both the mass in the heat of transformation (Q =...

Why does iron have molar specific heat greater than Debye value 3R?

Homework Statement A mixture of two ideal gases, the first one atomic and the second two atomic are put in normal conditions in a calorimeter with volume 1 liter hermetically closed. After it is given 10J thermal energy the mixture temperature is grown 14.2 K. Find the molar specific heat for...

Is there a way to determine the specific heat of a reaction before said reaction is introduced. thanks in advance for all of your inputs.

Homework Statement This was a problem I had on a stat mech exam awhile ago and I never figured out how to answer it. It asked "True or false, the specific heat of copper at room temperature is approximately ##3R##". Homework Equations $$C=\frac{Q}{\Delta T}$$ The Attempt at a Solution...

Homework Statement QUESTION ADDED AS ATTACHMENT AS NEED TO SEE GRAPH. Homework Equations C = (12NkBπ4/5)(T/θD)3 for T<<θD C = 3NkB for T>>θD The Attempt at a Solution a.)[/B] So I assume the expression for the specific heat as a function of temperature that the question must want: C =...

Homework Statement Figure shows two rigid vessels A and B, each of volume 200 cm3 containing an ideal gas (Cv = 12.5 J/mol-K). The vessels are connected to a manometer tube containing mercury. The pressure in both the vessels is 75 cm of mercury and the temperature is 300 . (b) 5.0 J of heat...

Homework Statement "Using the above calorimetre with 100.0 g of water of in it at 20.0°C, a 50.00 g sample of a metal at 100.0°C is added. The temperature of the calorimetre rises to 27.2°C. What is the specific heat? (S.H. = 0.20 cal/g°C)" Homework Equations Heat capacity of calorimetre used...

Hello everyone, I just need some help understanding some thermodynamics. So I have 0.25 kg of helium which is compressed from an initial state in a polytropic process with n = 1.3. So its given the change in volume and the initial pressure. I need to find the change in internal energy. I am...

Hello, I had a few questions regarding hydrogen. I know for a fact that hydrogen has a high value of specific heat. My questions are: 1). Isn't hydrogen supposed to be a good coolant, and if it is is it actually used ? 2). If it is a good coolant how does it work as a fuel ? I hope these...

Homework Statement A blackbody photon gas is contained within an evacuated cavity (V = 0.01 m^3). Calculate C_p for the photon gas at T = 1000K Homework Equations C_p - C_v = T(\frac{\partial S} {\partial V}) (\frac{\partial V}{\partial T}) C_v = T(\frac{\partial S} {\partial T}) S =...

Hi, I am doing an experiment on the factors affecting the time to heat water from a set temperature to another, eg 20 to 35 deg C. 1. First, I have insulated the beaker properly, to minimise heat loss. I have connected a heating element to heat the water. Connected multimeter, give the voltage...

Homework Statement Determine ΔSsys when 3.0 mol of an ideal gas at 25°C and 1 atm is heatedd to 125°C and expanded to 5 atm. Rationalize the sign of ΔSsys. Homework Equations State Function: dS = (dU)/T + (PdV)/T State Function for Entropy of Ideal Gas: dS = (CV,mdT)/T + (nRdV)/V Ideal gas...

Hello alll. I am Muhammad Nauman, Research Associate in COMSATS university islamabad pakistan and new in this group. I need Specific heat capacities of Gd5Si3 and GdSi. Can someone help me??

Homework Statement mass, m, of water in kettle 1.5 kg power rating, P, of kettle 2.1 kW time interval, t, for heating 322 seconds starting temperature 4 °C = 277 K finishing temperature 100 °C = 373 K temperature change, ΔT 96 K electrical energy supplied, E = P × t...

why is the molar specific heat of carbon(=6.1JMol-1K-1) so different from the predicted value of 3R≈25??

For an ideal gas, the internal energy is a function only of temperature, so that dU = CvdT can always be applied. I am not sure whether dH=CP dT is also always true even the pressure is not constant.

Homework Statement Using coffee (specific heat capacity of 3.98 x 10^3 J/kg °C) calculate the increase in mass if you raised the temperature of a 353 g cup of coffee from 34° C to 97°C. Homework Equations Q=mcΔt The Attempt at a Solution I believe I just need to solve for m. However I have...

The low temperature heat capacity was experimentally shown to go as T^3 for low temeperatures (and as T for even lower temperatures for metals). This result came out of Debye's model after he modified Einstein's model, relaxing some of his assumptions. I have a few questions on Debye's model...

Hi Admin, please allow me to post this here: The General Formula for Specific Heat Capacity is: C(Total) = C(electron)+C(phonon) C(electron) = aT where a is the sommerfield constant. C(phonon) = bT^3 this time i don't know what is b (some constant) so my problem is, how can i determine b...

Homework Statement An audience of 2750 fills a concert hall of volume 35000 m3. If there were no ventilation, by how much would the temperature of the air rise over a period of 2.0 h due to the metabolism of the people (70 W/person)? Homework Equations Q= nCvΔT Cv= (3/2) R The Attempt at a...

Homework Statement A 25.0 g copper ring at 0°C has an inner diameter of D = 2.71585 cm. A hollow aluminum sphere at 88.0°C has a diameter of d = 2.72019 cm. The sphere is placed on top of the ring (see the figure), and the two are allowed to come to thermal equilibrium, with no heat lost to the...

Homework Statement So I've been trying to find the specific heat capacity of the potato for a while and keep coming up with an outrageous number (over 700,000 J/kgC) Here's what I've found mass of potato = 0.15kg initial T of potato = 18 degrees C final T of potato = 83 degrees C (is this not...

Homework Statement When 1.25 kg of a cold metal at a temperature of 263 K was immersed in 1.43 kg of water at a temperature of 365 K, the final temperature was 336 K. What is the specific heat capacity of the metal? Homework Equations Q=mc∆t -Q=Q[/B] The Attempt at a Solution The answer...

Homework Statement If 13.4 kJ of heat is added 1.00 kg of ice at 0ºC, how much ice will be melted Homework Equations Change of Heat = mass*change of temperature*constant change of heat fusion (water) = 333 J/g change of heat water vapor = 2260 J/g change of heat total = change of heat...

Homework Statement A 0.080kg copper container (specific heat: 387Jkg-1K-1) contains 0.30kg of water and 0.040kg of ice at 0°C. Steam at 100°C is passed into the water and its temperature stabilizes at 20.0°C. Find the mass of the water left in the container assuming the system is insulated...

Consider an ideal gas. For a polytropic process we have ##PV^n = const##. Different values of ##n## will represent different processes; for example isobaric (##n=0##), isothermal (##n=1##), and isochoric (##n=\infty##). The Wikipedia article on polytropic processes states that the specific heat...

The specific heat capacity of water is accepted to be roughly 4.18 J/gK. How would the specific heat value of a given water sample be effected when sediments and other forms of particulation, such as iron oxide from rust, are present? Would the mixture have a higher specific heat capacity value...

Hey. I am writing my master thesis, and I really need to find the temperature dependent heat capacity and expansion coffient for Cobalt. I have tried searching the internet, whitout luck. Please, can anybody help me. It is really important!

Homework Statement A solid copper cylinder, 50 mm long and of 10 mm radius, is suspended in a vacuum calorimeter. Wound on the cylinder is a length of fine copper wire which is used as heater and resistance thermometer. Initially the resistance of the heater is 100.2 Ω. A current of 100 mA is...

How do I know which one of these two spheres have more specific heat capacity?

Homework Statement A nonlinear spring has a temperature dependent force law, F = -\frac{K}{T}(L-L_o)^3 At a temperature T = T_o and length L = L_o the specific heat at a constant length is C_L = C_o. What is the specific heat at T = T_o when the spring is stretched to length 2L_o...

Hi, The permanent gases like Nitrogen, Helium etc. have more specific heat capacity as liquid than their gases. Seemingly degree of freedom should reduce in liquid form, and therefore, specific heat capacity must reduce in liquid form. But this isn't the case. I remember reading somewhere...

Homework Statement A pot on a stove burner contains 10kg of water and an unknown mass of ice at equilibrium at 0degC at time = 0min. During the first 50mins, the mixture remains at 0degC. From 50 to 60mins the temperature increases to 2degC. What is the initial mass of ice? Ignore the heat...

Homework Statement Find the mass of water that vaporizes when 3.39 kg of mercury at 243 °C is added to 0.476 kg of water at 90.0 ° Homework Equations q=mcT, q=mL The Attempt at a Solution When vaporising T=100degC. Heat lost by mercury = heat gained by water. 3.39kg x 139J/kg/C x...

Please help me qualitatively in the following points : 1) If in a system(consider a cylinder) fixed with a piston , if the piston is moved suddenly then how can a process be adiabatic. 2) I understood that the process would be irreversible but, if the process is adiabatic then is the relation...

When two substances have the same temperature, the particles have the same average kinetic energy, right? So why is it that some substances take more energy to increase the temperature one degree even if the increase in average kinetic energy is the same? I'm referring to specific heat...

Homework Statement the answer is c) but i can't figure why ! is the more heat capacity substance lose and gain energy faster than the other one so it take more energy to get it's temperature raised by the same amount because it lose most of it very fast during the heating process ?

I have been looking for specific heat capacities of certain materials such as steel but i can never find a solid answer, so i figured i would test it myself, how would one test specific heat capacities?

I'm running a simulation on a gas mixture that spits out its Specific Heat in a number of different units. The values for Specific Heat in Btu/lbmolF vs Btu/lbmolR are the same, which confuses me at first glance. I sort of remember in Thermo not having to worry about Btu/lbmolF vs...

Hey I am a physics student, and not so familiar with chemistry. I have a huge problem, because I have to find the following 3 values for liquid isopropanol: 1. The specific heat capacity at constant volume 2. The specific heat capacity at constant pressure 3. Volumetric Isobaric...

Calculate the change in entropy of the Universe as a result of the following operations: (a) A copper block of mass 0.4kg and thermal capacity 150JK-1 at 100◦C is placed in a lake at 10◦C. dS=dQ/T dQ=mCdT Tried simply combining these equations and integrating to find change of entropy of...

Homework Statement A point source s emits thermal heat energy H every second uniformly in all directions. A cylindrical container with radius R, which contains a liquid of mass m, is placed at a distance h above the source, look at the picture. After t seconds, the temperature of the liquid...

the van der waals equation of state is given by (p+an^2/v^2)(v-nb)=nRT.how to show that for a gas obeying the above equation of state (∂Cv/∂V) (taking temperature constant)=0?

have two specific heat questions that I am having trouble with. Though i thought this was a chemistry topic, we are learning it in my physics class as well 1. The specific heat of aluminum is 0.22 cal/g *C What is the specific heat in Btu/lb*F The Fahrenheit is the part that I...

Homework Statement I am confused about what the difference between specific heat and heat capacity is. I have a block of metal (Aluminium) which I had to record dimensions and calculate the heat capacity of the block. I am just wondering am I doing the correct calculation? Homework...

Homework Statement A 30.0g block of ice at 0.00°C is dropped into 500.0g of water at 45.0°C. If the process was carried out in an iron container with a mass of 150g what would the final temperature be? Homework Equations Q=mc(T2-T1) Heat Lost = Heat Gained Specific Heat of Water: 4200 Specific...

The problem reads: Consider a gas with constant specific heat cv and the van der waals equation of state (P+ a/v2)(v-b)=RT , where v=V/n A) Find du and the specific internal energy u=U/n B) Find ds and the specifi entropy s=S/n Here's what I've tried so far: A) I took the initial...