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- Consider the following. (a) Model the tungsten filament of a lightbulb as a blackbody at temperature 3320 K. Determine the wavelength of light it emits most strongly. Your response differs from the correct answer by more than 10%. Double check your calculations. nmThe chemical potential of an ideal gas Use as ƏN E,V V S(E,V, N) = Nk| ln N 3 In 2 3Νπh? a. Derive the dependence of the chemical potential u on E, V, and N for an ideal classical gas. b. Use 3 E = -NkT. to determine µ(T, V, N)The root mean square speed of the hydrogen molecules at temperature t °C is given by 3x8.31 x (t+273) m 2 x 10-3 Calculate the de Broglie wavelength (in nanometers) of the hydrogen molecules at temperature 24 °C. The mass of the hydrogen molecule is 2 x 1.66 x 10-27 kg. Use two decimals in your answer.
- A molecule of ozone (O3) has mass 7.97 x 10-26 kg and is travelling with speed v = 550 ms in the upper atmosphere. Calculate the wavelength associated with the free particle wave (de Broglie wavelength).Answer the following. (a) What is the surface temperature of Betelgeuse, a red giant star in the constellation of Orion, which radiates with a peak wavelength of about 970 nm? K(b) Rigel, a bluish-white star in Orion, radiates with a peak wavelength of 145 nm. Find the temperature of Rigel's surface. KAnswer the following. (a) What is the surface temperature of Betelgeuse, a red giant star in the constellation of Orion, which radiates with a peak wavelength of about 970 nm? K (b) Rigel, a bluish-white star in Orion, radiates with a peak wavelength of 145 nm. Find the temperature of Rigel's surface. K
- The density of states in k is given by g(と)dと = VEdと 272 For a photon gas a) Find g(E) d E, g(W) dw,starting from the aboue équation. b) what is the energy of this Photon gas! c) what is the pressurce of photon gas?Are the efficiencies of all the work-producing devices, including the hydroelectric power plants, limited by the Kelvin–Planck statement of the second law? Explain.Question A7 The intensity of the emitted radiation by a star is at a maximum at a wavelength of 78.9 nm. a) Calculate the surface temperature of the star. b) Calculate the ratio of the intensity radiated at 65.0 nm to the maximum intensity. Assume that the star radiates like an ideal blackbody.
- The thermal (black-body) radiation from a star peaks at a wavelength of 300 nm. What is the surface temperature of the star in K?In kinetic theory of gases, atoms are modeled as point masses m with mean speed v related to temperature T by m v^2 = 3 k T, where k is Boltzmann’s constant. Assuming gas atoms travel several thousand Angstroms between collisions with each other, how cool would hydrogen gas need to be before quantum mechanics would have to be taken into consideration?The operating temperature of an indirectly heated filament of a vacuum tube is around 1050K. At what wavelength will it radiate maximum? Given b=0.288cm K.
