a) Calculate the electron scattering rate and the mean free path of copper at 295 K.

a. Find the average translational kinetic energy of nitrogen molecules at room temperature, in eV. b. Find the average translational kinetic energy of a 1 microgram dust particle at room temperature, in eV. c. Find the mean speed of nitrogen molecules in thermal equilibrium, at room temperature. d. Find the mean speed of a 1 microgram dust particle in thermal equilibrium, at room temperature.

3 A one cm sample of a hypothetical material with conductivity of 108 (Ohm-meter) 1 is formed into a 10 cm wire. The material contains 1042 atoms per cm. Calculate the electron drift velocity when the wire carries an electrical potential of 10 V.

Problem 2:   Helium is a very important element for both industrial and research applications. In its gas form it can be used for welding, and since it has a very low melting point (only 0.95 K under 2.5 MPa) it can be used in liquid form to cool superconducting magnets, such as those found in particle physics experiments. Say we have a cylinder of n = 145 moles of Helium gas at room temperature (T = 20° C). The cylinder has a radius of r = 17.5 cm and a height h = 1.45 m. Part (a)  What pressure (in kPa) is the helium gas under? P = ______ Part (b)  Helium is usually kept in the highest pressure gas cylinders, which can typically withstand at least 500 atm of pressure. Would the tank in part (a) be able to maintain its structural integrity?   Part (c)  In principle, these tanks could fail if the temperature of the Helium started rising - if they were stored in a hot environment, for instance. To determine how much of a danger this is, calculate the temperature (in C) the Helium gas…

A container holds N molecules of nitrogen gas at T = 280 K. Find the number of molecules with kinetic energies between 0.0300 eV and 0.0312 eV.

By what factor does the rms speed of a molecule change if the temperature is increased from 24 °C to 1000 °C? VD ΑΣΦ Submit Request Answer ?

2.a. What is the total Power emitted (in the form of electromagnetic radiation) by a solid hemisphere of emissivity, e = 1, if its radius is 0.70m, and it is maintained at a temperature of 1280 K ? 2.b. What is the total energy emitted by this object in 90 seconds?

A. Discuss the significant modification of Debye's theory from Einstein's theory and Dulong & Petit's law for specific heat capacity of solids B. Find the theoretical Debye temperature of copper (Cu) if the speed of sound in copper is 3901 m/s and its density and atomic mass is 8960 kg/m³ and 0.06355 kg/mol, respectively.

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

The pressure unit 1 torr is comparable to 0.001 bar. In a sample of N₂ at this pressure and a temperature of 300 K, what is the mean free path between collisions in mm (millimeters)? Assume that the cross-section for N₂ molecules is o = 4.50 × 10-19 m².