Show that at higher temperatures T tends to infinity the Einstein heat capacity equation in agreement with Dulong-Petit Law
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A: According to Stephan's Boltzman law, P=σAT4 ; for black body P = σeAT4; for any other body
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Q: The surface temperature of the Sun is 5800 K. The mean radiuses of the Earth and the Sun are…
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A: Given: The number of atoms in level 1(N1)= 1/3 greater than the number of atoms in level 2(N2).
Q: Temperature-Dependent Heat Capacity At low temperatures, the specific heats of solids are typically…
A: Given, c=3.33×104 JKg K×(T321 K)3 Mass m = 24 g We know the expression is Q=mcdt
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Q: Consider a black body of surface area 20.0 cm² and temperature 5 000 K. How much power does it…
A: Stefan's Boltzmann law describes the power radiated from a blackbody from its temperature. It states…
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Q: A spherical black body with a radius of 12 cm radiates 450 W power at 500 K. If the radius were…
A: We are aware that a black body with a radius of 12 cm and a temperature of 500 K emits 450 W of…
Q: The sensitivity of a thermocouple is 0.05 mV/K. If the voltage range is from 0-50 mV and the lowest…
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Q: At a surface temperature of the sun T-5800 k and a diameter R = 7 * 10 m and at the average distance…
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Q: Consider a surface at a uniform temperature of 800 K. Determine the maximum rate of thermal…
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Q: Using the Maxwell speed distribution (p(v), derive the expression for the root mean square speed. Be…
A: Derive the expression for the root mean square speed using the Maxwell speed distribution (p(v).
Q: Given that the temperature at the surface of the sun is 5800 K and assuming the sun to be a…
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Q: How can we estimate the molar heat capacity of solid elements at ordinary temperatures?
A: The atoms of a solid can be modelled as attached to neighbouring atoms by the means of a spring.
Q: The temperature inside a supernova explosion is said to beb 2.00×1013 K . (a) What would the average…
A: Given- The temperature of supernova (T) = 2.00×1013 K Molar mass of hydrogen atom (m) = 1 g/mol =…
Q: Estimate the mean temperature of the sun by assuming its protons behave as a gas.
A: The internal energy of the Sun is, U=32Mℝ𝕋μM: Mass of the Sunℝ:kBmH𝕋: Interior temperature of the…
Q: Show that the equation of state is the van der Waals equation by calculating the pressure of the gas…
A: Partition function is crucial for calculation of different properties of system such as entropy,…
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A: The virial theorem relates the total kinetic energy of a self-gravitating body to its gravitational…
Q: If the atmosphere is isotropic (the same temperature) at 293 K, how high will a balloon rise if, at…
A: The ideal gas law may be used to estimate the correlation between the gas's pressure, volume, and…
Q: Suppose you have a sphere with a surface area of about 1.3 m2. If the temperature of the sphere were…
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Q: Estimate the temperature that the surface of the sun would have to be in order to find equal…
A: Given: Equal population of neutral hydrogen atoms and protons at the surface To Find: Temperature of…
Q: calculate the time it would take for K+ to diffuse 1 m if it has a Diffusion coefficient, DK+ = 2000…
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Q: The temperature inside a supernova explosion is said to be 2.00 × 10¹³K. (a) What would the average…
A: In order to answer this issue, we must determine the average hydrogen atom velocity. We know the…
Q: Explain two assumptions behind the Kelvin-Helmholtz timescale
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Q: A 50 g silver disk at 3000C is placed in 200 cm3 of methyl alcohol at 140C, then removed quickly.…
A: We can say-When the temperature of the hot silver disc dropped, the disc lost heat, which was…
Q: The magnetosphere of the Earth may be characterized by an electron number density n.=1011 m³ a…
A: Given: Electron number density ne = 1011 m-3. Temperature of magnetosphere T = 1100 K. Time between…
Q: A spherical blackbody of 5 cm in radius is in equilibrium with its surroundings. It then absorbs 50…
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Q: Assuming the Stefan-Boltzmann law, compare the rate of radiation from a metal ball at 727 °C with…
A: We have to compute-Rate of loss of heat R1R2=?The data given as-T1=727+273=1000 KT2=527+273=800…
Q: (b) To what temperature must the body be heated until its peak thermal radiation is in the red…
A: A blackbody is an ideal concept which absorbs all the wavelengths and also emits all the wavelengths…
Q: (2.) (1) Calculate the rms speed of helium atoms near the surface of the sun at a temperature of…
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Q: Helium atoms interact very weakly with each other; helium only liquefies at 4.2 K at standard…
A: The kinetic energy of helium atom is kE=32RT
Q: In the question its asks for the rate of energy transfer P after you find what the interface…
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Q: The total power emitted by a spherical black body of radius R at a temperature T is P. et P, be the…
A: Given Data : Black body one - temp T1 = T , Power = P1 , radius R1 = R Black body two - Temp T2 =…
Q: Using the result fx²¹e-αx² dx = VRMS = 3RT M 3 8a² Va derive from the Maxwell-Boltzmann distribution…
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Q: How does the Boltzmann distribution and statistics explain the behavior of an ideal gas in terms of…
A: Boltzmann's statistics, or Boltzmann distribution, is a fundamental principle used in statistical…
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