Heat capacity Definition and 439 Threads

Sorry if the title is against the rules or anything, I just wanted to be specific as possible :P 1. Homework Statement V1(Saltwater) = 40g = 0.04kg V2(Hot-Saltwater) = 80g = 0.08kg Ti(Saltwater) = 23.5oc Ti(Hot-Saltwater) = 39.6oc Tf = 33.7c Question: A cup of 40g saltwater is at 23.5c & A...

I had an experiment to find the specific heat capacity of water. Materials are electric kettle, logger pro, 1 kg water, and set up the time to 240 seconds. The experiment value i got is 4.33 kJ/(kg.K) which is closed to the waters specific heat capacity 4,18 kJ/(kg.K). I wonder what could be...

Hello. I will be doing some experiments with boron steel. The idea is to heat a steel specimen (200x20x1,5 mm dimensions) to 950°C and then quickly transfer it from the oven to the die at room temperature. When the specimen reaches the steel die it will supposedly be at around 800°C. At this...

1. The answer to this problem is easy when plugged into mathematica it's (pi^2)/3. I am trying to integrate it by hand however and can't figure out how to start it. I also can't find any other attempts of it online (our professor says we can just look it up if we can find it). [(x^2*E^x)/(E^x...

Homework Statement The heat capacity of the solid NaCl from 500 K to 1074 K is given by [52.996 J*K-1*mol-1 – (7.86*10-3J*K-2*mol-1)*T + (1.97*10-5J*K-3*mol-1)*T2 ] and that of liquid NaCl from 1074 K to 1500 K is given by [125.637 J*K-1mol-1 – (8.187*10-2 J*K-2*mol-1)*T + (2.85*10-5...

Homework Statement I have the following task: The Standard enthalpy of formation of gaseous H2O at 298K is -241.82 kJ mol-1. Estimate its value at 100 °C given the following values of the molar heat capacities at constant pressure: H2O (g): 33.58 JK-1mol-1, H2 (g): 28.84 JK-1mol-1, O2 (g)...

In class we derived the relationship between temperature and heat capacity for the Debye model. We found that in 3D the heat capacity is proportional to temperature cubed. My question is, would this relationship change in a metallic system?

Homework Statement Heat capacity is the ability of the material to store energy internally. If I completely insulated diamond and I put heat into it, It would have the ability to store 6.57 (Joules/mole) per degree Kelvin. Use this formula q=Cp (ΔT/ Δt) where q is heat in Watts, ΔT is...

Homework Statement earlier today i was doing some coursework to find the specific heat capacity of an unknown metal by submersing 100g / 0.1kg of the metal in boiling water above 75°C and record the temperature after 30 seconds (θm). we then had to transfer the the metal from the boiling water...

The specific heat capacity is the amount of heat energy needed to raise 1 kg of a substance by 1 °C. Q. So the specific heat capacity of water is 4.184kJ (given that 1 Cal (large calorie aka the kg calorie aka the food calorie) is required to do the same, ie, raise the temperature of 1 kg of...

I've got a problem: A piece of copper with mass m1 = 800 g and temperature t1 = 80 ° C is placed in a container with good thermal insulation. The vessel initially contains water with mass m2 = 500 g temperature t2 = 20 C. What is the calorimeter (including thermo meter) heat capacity if the end...

Homework Statement I have 1.5 kgs of silicon with temperature 40 degrees celsius. It is dropped into 3 kgs of water holding temperature 25 degrees celsius. The system is heat isolated from the environment and the final temperature of the system is 26.2 degrees celsius. I need to find the...

I was reading this report prepared by PNNL which says (page 16): "Using refrigerant to deliver heating and cooling requires less energy because of the larger heat capacity of the refrigerant relative to air and even water. Less mass flow is needed to deliver the same amount of heating or...

Homework Statement A diatomic ideal gas is heated at constant volume until its pressure is doubled. It is again heated at constant pressure until its volume is doubled. The molar heat capacity for the whole process is kR. Find the value of k. Homework Equations ans is k=19/6. p/t=constant...

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 a) a styrofoam cup contains 200g of water at 20 C.What will be the equilibrium temp of the system after 100g of silver,initially at 300 C,has been added?you may assume that the heat capacity of the cup is negligible and that no heat is lost to the surroundings. (b) a further...

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...

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...

I recently encountered this problem in class "A glass pot of mass 0.6kg contains 1.2kg of oil at 15 degrees Celsius. If 214kJ of energy is supplied to it, what is the final temperature of the pot and oil? ( The specific heat capacity of glass is 700 J kg-1 °C-1, and the specific heat capacity of...

Homework Statement A quantity of water in a beaker of negligible thermal capacity is cooled to a few degrees below freezing point. The beaker is then placed in a warm room, and the times recorded at which it is at various temperatures as it gradually warms. The observations were...

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??

In class we're currently learning about reversible and irreversible adiabatic processes. For reversible process, we got dq=0, so dU = dw = -P*dV = Cv*dT. What I don't get is where did the Cv*dT come from? I remember q=C*dT, but dq = 0 so I'm not sure what that means? Also, where does Cv*dT...

Homework Statement B/c the textbook mentions that Einstein's heat capacity equation obeys a law of corresponding states...but, I don't really understand how this can be...I've tried to figure out, to no avail...so, any help would be welcome! Homework Equations Cv/NkB =...

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...

Hi everyone, If you know the temperature rise of 2 moles of an ideal gas when a known amount of energy is transferred to it as heat, (hence are able to calculate cv by dU/dT); is the molar heat capacity simply half this value as it is half the number of moles?

Homework Statement A bomb calorimeter is used to measure the overall heat output. It is calibrated by burning 1.00g of methanol (Change in enthalpy of combustion- 715 kJ mol–1) in O2 which produces a temperature rise of 8.40 K. Use this information to determine the heat capacity of the...

Hi, I'm a mechatronics student and I am currently working on a project on the effectiveness of a vortex tube to cool a cabinet. The cabinet has a thermostat inside and if the temperature exceeds a threshold, an air compressor is turned on, causing the vortex tube to cool the cabinet. The cabinet...

Homework Statement A Gas is in a Volume V0 = 1 Liter at Pressure p0 = 3 bar. Isochoric Heating using the Heat Q1 = 182 J, the pressure raises to p1 = 6.34 bar. Gas is reset to inital state. Isobaric Heating using the Heat Q2 = 546 J, the Volume increases to V2 = 3 Liter. Calculate Cp/CV...

Using kinetic theory, we can derive an expression for the thermal conductivity of a gas to be κ=nCmoleculeλ<v>/3 where n is the number density of the molecules in the gas, Cmolecule is the heat capacity of a single molcule (i.e the heat that must be given to each molecule to raise the...

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...

Need a little help, as I seem to have gotten confused. Looking over past exam questions for the heat capacity of a calorimeter, this one is the one I am looking at : A sample of the sugar fructose (C6H12O6) of mass 0.900 gwas placed in a calorimeter and ignited inthe presence of excess oxygen...

edit: The title is misleading, sorry. Originally I wanted to ask a question about the heat capacity but I figured it out and changed the question while forgetting to change the thread title.. Hi. OK, assume we have a classic magnetic dipole in a magnetic field with ##H= - \vec{\mu} \cdot...

I know little about the experimental measurements of heat capacity. I can see you'd need to know both how much energy you've transferred to a nanoparticle, and measure the temperature change resulting to ascertain it. This brings me to my questions: How effective is laser heating of...

Hello everyone ! I'm a bit confused about assumption that's made in "Concept in Thermal Physics ; Stephen J. Blundell and Katherine M. Blundell" page 205. It is stated that " Consider a cubic solid in which each atom is connected by springs (chemical bonds) to six neighbours (one above, one...

Homework Statement A 3.50-kg block of iron initially at 8.00 × 10^2 K is placed on top of a 6.25-kg block of copper initially at 4.00 × 10^2 K. Assume the blocks are thermally insulated from their surroundings but not from each other and that they constitute a closed system. How much energy is...

Homework Statement I uploaded a picture of the problem here: http://imgur.com/kD35ROl Sorry about the norwegian text, the problem is this: The three figures with red lines indicate three different energy levels of a system in thermal equilibrium with a reservoir of temperature T. The three...

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...

Technically I'm supposed to have a total of 8 optical modes but only 4 of them were seen in a solid (by spectroscopy). So I suspect there's some degeneracies and symmetries involved, but I don't know which ones. I have two sets of assigned degeneracies: frequency; degeneracy set 1; degeneracy...

Homework Statement The diagram shows the molar heat capacity of an ideal diatomic gas and the number of degrees of freedom at different temperatures. Explain why there are 3 discrete plateaus and why the curve is smooth and leaning between them. Homework Equations - The Attempt at a Solution...

Hello PF! I have some questions regarding these concepts. First of all, are the following expressions valid for any case? i.e. any kind of process, like isochoric, isobaric. \Delta U = \int C_v \ dT \Delta H = \int C_p \ dT Or is the ΔU expression only valid when dV = 0, and ΔH when dP = 0...

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...

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?

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...

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 ?

Homework Statement (a) Given V, α, κT, μJT, and CP, calculate CV at 90.0 bar and 308 K for carbon dioxide gas. (b) If carbon dioxide's vibrations were fully excited, then CV would be 4R. What's the percent vibrational excitation at 90 bar and 308K? Homework Equations Both constant pressure...