Q/ Prove that the specific heat according to Einstein's model:(a) agrees with Dolonck's law and Petit when T> ∞(b) Fade out when T = 0 K.(C) It changes exponentially at low temperatures (T « Og).

In the Einstein model, the N atoms could be considered as an array atomic oscillators vibrating in 3…

Answered: Q/ Prove that the specific heat…

Q/ Prove that the specific heat according to Einstein's model: (a) agrees with Dolonck's law and Petit when T> 0 (b) Fade out when T = 0 K. (C) It changes exponentially at low temperatures (T « 8g).

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter1: Temperature And Heat

Section: Chapter Questions

Problem 98P: Suppose a person is covered head to foot by wool clothing with average thickness of 2.00 cm and is...

See similar textbooks

Related questions

Q: Does the temperature in the Clausius inequality relation have to be absolute temperature? Why?

A: Given: Does the temperature in the Clausius inequality relation have to be absolute temperature?…

Q: Very high in the Earth’s atmosphere, the temperature canbe 700°C. Yet an animal there would freeze…

A: This question is completely conceptual to increase the understanding about the concepts like…

Q: What is the percent increase in the energy radiated by a person with a average body temperature of…

A: Given : Normal temperature of person, T1 = 37oC = 273 + 37 = 310 K Temperature rises to, T2 = 40oC =…

Q: If the temperature of the surface of the object is 690.8 oF , then calculate its value in K.

Q: The pressure of a given mass of changes from 200Nm-2 to 100Nm-2,while the it's temperature drops…

A: Given that Initial pressure of gas P1 = 200 N/m2 Initial temperature of gas T1 = 127 °C Final…

Q: Under what conditions can the overall heat transfer coefficient of a heat exchanger be determined…

Q: A concrete highway is built of slabs 18.0 m long (at 18 °C). How wide should the expansion cracks be…

Q: Show that the temperature -40°C is unique in that it has the same numerical value on the Celsius and…

Q: Consider a surface at a uniform temperature of 800 K. Determine the maximum rate of thermal…

Q: You purchase a pure gold wedding ring with a diameter of 16.49 mm at special shop in the Karoo…

Q: The surface temperature of the sun is approximately 5,800 K. However, stars can be much hotter. WR…

Q: Consider some copper beads that are initially at T, = 200 °C, with each bead having a mass of m, =…

A: To solve the question, we will use the conservation of energy. According to the conservation of…

Q: Assume that 50 % of the potential energy of a rain- drop turns into internal energy of the drop, as…

A: Relation between potential energy and internal energy of drop according to the question, 12PE=U…

Q: The escape speed from the Moon is much smaller than from Earth and is only 2.38 km/s. At what…

Q: Q 2: A rod 10cm long, has its ends A and B kept at 50°C and 100°C, respectively, until steady state…

A: The heat equation is given by ∂u∂t=α2∂2u∂2x.....(1) In steady state condition, the time dependence…

Q: - The escape speed from the Earth is 1.12 x 104 m/s, so that a gas molecule travelling away from…

A: As given, Escape speed from Earth, v=1.12×104 ms Average speed of a gas molecule is given by,…

Q: Water whose temperature is at 100 degrees celsius is left to cool in a room where the temprature is…

Q: You purchase a pure gold wedding ring with a diameter of 15.77 mm at a special shop in the Karoo…

A: Given Diameter of ring = 15.77mm = 1.577×10-2m Initial Temperature of the ring Ti = 40.5°C Final…

Q: Someone comments that a microwave oven can be viewed as a conventional oven with zero convection…

A: A microwave oven can be viewed as a conventional oven with zero convection resistance at the surface…

Q: E.24 In a house a horizontal steel support beam has a length of 8m at 20°C and extends from one wall…

A: Given: The length of beam is l=8m The initial temperature of beam is T1=20°C. The final temperature…

Q: Q-3) The following table gives the value of the specific heat of water as a function of temperature.…

A: Interpolating Polynomial[data, variable] is the Wolfram Language implementation of Lagrange…

Q: What would be the value of the Fahrenheit be at 574.59 K?

A: Given that, Kelvin temperature (Tk) = 574.59 K

Q: We know the mass of water m and the temperature change AT. The specific heat of water is C- 4 186…

A: Given Mass m=116 kg specific heat c=4186J/kgC Change in temperature ∆T=42-20=220 C

Q: -8 A blacksmith is flattening a steel plate that measures 10 cm x 15 cm x 1 mm. He has heated the…

Q: Show that specific heat at constant pressure C, is given by ƏT. +p ƏT,

A: Specific Constant at constant Pressure ⇒ differentiate heat with respect to temperature. i.e. ∂Q∂T…

Q: Star A has twice the radius and triple absolute temperature of star B. What is the rati of the power…

Q: A small spinning asteroid is in a circular orbit around a star, much like the earth's motion around…

A: P=σAT4T=PσA14

Q: The intensity of solar radiation reaching Mars averages about 580 W/m2. a) Assuming the Sun radiates…

A: Given information: Here, IM is the intensity at the Mars surface, d is the distance between the…

Q: Lake Erie contains roughly 4.00 x 1011 m3 of water. (a) How much energy is required to raise the…

Q: A sphere of radius 4.3 mm is at 3499 K. Calculate the rate of radiation of energy (in W) by the…

A: Given: The radius of the sphere is 4.3 mm. The temperature is 3499 K. The emissivity is 1.

Q: In the question its asks for the rate of energy transfer P after you find what the interface…

Q: The pressure on 0.2 kg of water is increased reversibly and isothermally from atmo- spheric pressure…

A: Temperature =20⁰c=293 k Mass of the water =0.2 kg No of moles = 0.2/18 =0.011

Q: ou pour 750 e of het coffee into an aluminua mess is 2sg. You measured He temp of the eoffee to be…

A: According to principle of calorimetry Heat given by hot body = heat taken by cold body

Q: Your window thermometer shows that the temperature outdoors is 74.7°F. How should you report this…

Q: During a cold winter day, wind at 55 km/h is blowing parallel to a 4-m-high and 10-m-long wall of a…

Q: oon after the Earth formed, heat released by the decay of radioactive elements raised the average…

A: The volumetric expansion is given by V = Vo(1 + γ(T'- T)) where, Vo is the original volume, T' - T…

Q: Suppose that the initial temperature difference between an object and its surroundings is D0 and the…

A: Given :- initial temperature difference between an object and its surrounding = D0…

Q: How much energy (in Joules) is needed to be removed to freeze water, completely, so that all the…

Q: S = Y α ( Ts - To ) Part (b) What is the value of the stress, in pascals, that develops due to a…

A: Here stress developed = 2337000 Pa Cross-sectional area of nails (A) = 10-5 m2

Q: 2.

Q: You purchase a pure gold wedding ring with a diameter of 14.54 mm at special shop in the Karoo…

A: Initial Diameter is Do = 14.54×10-³ m Intial temperature is Ti = 39.4 ⁰C Final temperature is Tf…

Question

Q/ Prove that the specific heat according to Einstein's model:
(a) agrees with Dolonck's law and Petit when T> ∞
(b) Fade out when T = 0 K.
(C) It changes exponentially at low temperatures (T « Og).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Can carbon dioxide be liquefied at room temperature (20 If so, how? If not, why not? (See the phase diagram in the preceding problem.)
According to http:hyperphysics.phy-astr.gsu.edu/hbase/solar/venusenv.html, the atmosphere of Venus is approximately 96.5% CO2 and 3.5% N2 by volume. On the surface, where the temperature is about 750 K and the pressure is about 90 atm, what is the density of the atmosphere?
Check Your Understanding How does the rate of heat transfer by conduction change when all spatial dimensions are doubled?
Check Your Understanding If you consider a very small object, such as a grain of pollen, in a gas, then the number of molecules striking its surface would also be relatively small. Would you expect the grain of pollen to experience any fluctuations in pressure due to statistical fluctuations in the number of gas molecules striking it in a given amount of time?
How many grams of coffee must evaporate from 350 g of coffee in a 100-g glass cup to cool the coffee and the cup from 95.0 to 45.0 ? Assume the coffee has the same thermal properties as water and that the average heat of vaporization is 2340 kJ/kg (560 kcal/g). Neglect heat losses through processes other than evaporation, as well as the change in mass of the coffee as it cools. Do the latter two assumptions cause your answer to be higher or lower than the true answer?
Check Your Understanding How much greater is the rate of heat radiation when body is at the temperature 40 than when it is at the temperature 20 ?
A physicist makes a cup of instant coffee and notices that, as the coffee cools, its level drops 3.00 mm in the glass cup. Show that this decrease cannot be due to thermal contraction by calculating the decrease in level if the 350 cm3 of coffee is in a 7.00-cm-diameter cup and decreases in temperature from 95.0 to 45.0 . (Most of the drop in level is actually due to escaping bubbles of air.)
As the very first rudiment of climatology, estimate the temperature of Earth. Assume it is a perfect sphere and its temperature is uniform. Ignore the greenhouse effect. Thermal radiation from the Sun has an intensity (the "solar constant" S) of about 1370 W/m2 at the radius of Earth's orbit. (a) Assuming the Sun's rays are parallel, what area must S be multiplied by to get the total radiation intercepted by Earth? It will be easiest to answer in tens of Earth's radius, R. (b) Assume that Earth reflects about 30% of the solar energy it intercepts. In other words, Earth has an albedo with a value of A=0.3 . In terms of S, and R, what is the rate at which Earth absorbs energy from the Sun? (c) Find the temperature at which Earth radiates energy at the same rate. Assume that at the infrared wavelengths where it radiates, the emissivity e is 1. Does your result show that the greenhouse effect is important? (d) How does your answer depend on the area of Earth?
Suppose a person is covered head to foot by wool clothing with average thickness of 2.00 cm and is transferring energy by conduction through the clothing at the rate of 50.0 W. What is the temperature difference across the clothing, given the surface area is 1.40 m2?
In the text, we showed that if the Clausius statement is false, the Kelvin statement must also be false. Now show the reverse, such that if the Kelvin statement is false, it follows that Clausius statement is false.
A firewalker runs across a bed of hot coals without sustaining burns. Calculate the heat transferred by conduction into the sole of one foot of a firewalker given that the bottom of the foot is a 3.00-mm-thick callus with a conductivity at the low end of the range for wood and its density is 300 kg/m3. The area of contact is 25.0 cm2 the temperature of the coals is 700 , and the time in contact is 1.00 s. Ignore the evaporative cooling of sweat.
A sphere of radius 4.3 mm is at 3499 K. Calculate the rate of radiation of energy (in W) by the sphere, if its emissivity is 1.