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.
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- 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?A hypothetical speed distribution of gas molecules is defined as follows: P(v) = 0 for 0≤v < vo P(v) = 0.21 for vo ≤ v << 2vo P(v) = 0 for 2v0 < v where P(v) is the probability distribution as a function of speed, v. a) Use the normalisation condition to find the value of v. b) What percentage of the gas molecules has its speed between vo and/vo? c) What percentage of the gas molecules has its speed between 0 and 2 ?The number density in a container of neon gas is 4.80×1025 m^−3. The atoms are moving with an rms speed of 680 m/s . What is the pressure inside the container? p= 2.46×105 Pa What is the temperature inside the container?
- 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. KDerive a relation for Joule – Thomson coefficient for a gas whose equation of state is a P+ V = RTConsider the step potential function shown below. Assume that a flux of electrons has energy E and it is incident on a potential barrier of height vo with E > V0. The electrons are traveling in the x direction and they are originated from x = -. i. Find the transmission coefficient between regions l and I ii. Find the reflection coefficient between regions l and II. i. Assume the electron velocity is 2. x10° cm/s, E = V0 /0.1. Find the probability that there is an electron at the distance a = 2 A'after the barrier. iv. Determine the de Broglie wavelength in A? V(x) Incident particles Region I Region II x = 0
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