The effective mass of the solid whose energy expression &(k)= A- Bcos (k,b) cos(k,b) (0'0) is equal to, near
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- Estimate the amount of heat (in J) required to raise 2kg of α-iron from room temperature (25∘C) to100∘C.In 1995 a research group led by Eric Cornell and Carl Wiemann at the University of Colorado successfully cooled Rubidium atoms to the 20-200 nk temperature range. Assuming (incorrectly) that the Rubidium atoms behave like particles of a classical ideal gas, calculate the RMS speed of a Rubidium atom at a temperature of 36.0 nk. In the experiments one particular isotope of Rubidium was used, Rubidium-87. The molar mass of this isotope is 86.91 g/mol. Submit Answer Tries 0/12In an experiment, the temperature of a hot gas stream is to be measured by a thermocouple with a spherical junction. Due to the nature of this experiment, the response time of the thermocouple to register 99 percent of the initial temperature difference must be within 5 s. The properties of the thermocouple junction are k = 35 W/m·K, r = 8500 kg/m3, and cp = 320 J/kg·K. If the heat transfer coefficient between the thermocouple junction and the gas is 250 W/m2·K, determine the diameter of the junction.
- The density of Si is 2.3 g/cm³. Assume you are making square mc-Si wafers, 15 x 15 cm², 180 µm thick, leading to solar cells of 16% efficiency (assume wafers have 16% efficiency also). Assume 150 µm kerf losses (due to slicing) and sun-- light of 1kW/m². How much power can you generate per kilogram of Si (i.e., what is the kWp for wafers per kilogram of Si ingot)?Show that for an ideal gas (@T/ƏV)u = 0, and (@T/ƏP)H= 0.a) Calculate the mean free path in meters of a nitrogen molecule (with a mass m=4.68×10¬26 kg) located in Earth's atmosphere at sea level. Assume a temperature of T=300 K and a number density of particles of 1019 cm-3. b) Assuming that the collision cross-section of the molecule is o = 2x10-10 frequency v in Hertz and the time between collisions t in seconds. m, compute the collision
- Calculate the ratio of the number of vacancies in equilibrium at 27 C in aluminum to that produced at 527 C. The energy of the formation of vacancies in .aluminum is 68 kJ/molThe exact differential for the Gibbs energy is given by dG = -SdT + VdP. The form of this differential implies which of the following relationships? O (7),- (), ƏG Әт ƏG др P T (37), - - (-), P T as ( x) - (*), = др T (327), = -(0)₁ == P T(3) Partition function of an ideal gas comprising N particles of mass m in a volume V, which is in equilibrium with a heat bath at temperature T (or Bß = 1/kT), was calculated in lecture as: %3D 3N/2 VN (2nmkT)³N/2 VN m Z = N!h3N N! (2nh?ß, using the integral e-cx2 Now consider an ideal gas comprising N particles of two-atom molecule of mass m. Kinetic energy is separated as E = Etransl + Erot; where 1 1 Etransl = 2m -(P를 +pg + p2); Erot (på + p),0 <θ< T,0<Φ< 2π. 21 sin? 0 (a) Calculate the partition function for ideal gas comprising two-atom molecules. (b) Calculate the heat capacity.
- Using the same procedure to determine the fundamental equation of chemical thermodynamics (dG = –SdT + VdP) from the Gibbs free energy of a system (G = H – TS), can you please explain how to find the analogous fundamental equation for (A=U-TS)? Also, can you please handwrite the formula down instead of typing? I get confused with typed formulas sometime.Given the work functions for some metals:- Aluminum=4.08eV, Beryllium=5.0eV, Cadmium=4.07eV, Calcium=D2.9eV, Carbon=4.81eV, Cesium=2.1eV, Cobalt=5.0eV, Copper3D4.7eV, Gold%3D5.1eV, Iron=4.5eV, Lead=4.14eV, Magnesium=3.68eV, Mercury=4.5eV, Nickel=5.01eV, Niobium=4.3eV, Platinum=6.35eV, Potassium=2.3eV, Selenium=5.11eV, Silver=4.73eV, Sodium=2.28eV, Uranium3D3.6eV, and Zinc= 4.3eV. If you shine light with a wavelength of 443 nm on the following metals will they emit electrons according to the Photoeffect? Aluminum [ Select ] Berylium [ Select ] Cesium [ Select ]