A2.4. (a) Estimate the probability that a hydrogen atom at room temperature (T 300 K) is...
For the hydrogen atom, its energy at ground state is 13.6 eV, at first excited state is 3.4 eV at second excited state is 1.5 eV and at the third excited state is 0.85 eV. i) Give the energy value for the first two states in Joule (J). [1eV =1.6 x 10-19 J] (2 marks) ii) With the aid of schematic diagram, determine the energy of emitted photon when the atom jumps from the first and third excited states to...
4. When a hydrogen atom is bombarded, the atom may be raised into a higher energy state. As the excited electron falls back to the lower energy levels, light is emitted. What are the three longest-wavelength spectral lines emitted by the hydrogen atom as it returns to the n = 1 state from higher energy states? Give your answers to three significant figures. The lowest possible state, n = 1, corresponds to the electron in its smallest possible orbit; it...
16. Consider a pure hydrogen gas at a temperature of 10,080 K. What is the ratio of the populations of the ground state (n 1) to the first excited state (n = 2)? Note that the energy difference is 10.2 eV between these two states. At what temperature would both levels have equal populations? 10,080 K and a gas pressure of 10-5 atm. Calculate 17. Consider a pure hydrogen gas at a temperature of the ratio H+/H. (Hints: Ne =...
7. Saha-Langmuir Equation for Hydrogen: A reaction of great relevance in astrophysics is the ion- ization/recombination of atomic hydrogen: Hp+ +e-, which can be treated like other chemical reactions -or equivalently, in effect as the adsorption of an electron onto a proton Assume: (i) thermodynamic equilibrium conditions prevail; and that (ii) all species can be treated as ideal gases (meaning the particles are sufficiently dilute so that Coulombic interactions amongst the free charged species can be neglected); (iii) the system...
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At a given temperature the rotational states of molecules are distributed according to the Boltzmann distribution. Of the hydrogen molecules in the ground state estimate the ratio of the number in the ground rotational state to the number in the first excited rotational state at 300 K. Take the interatomic distance as 1.06 Å. Estimate the wavelength of radiation emitted from adjacent vibration energy levels of NO molecule. Assume the force constant k-1,550 N m In...
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The force constant for the carbon monoxide molecule is 1,908 N m At 1,000 K what is the probability that the molecule will be found in the lowest excited state? At a given temperature the rotational states of molecules are distributed according to the Boltzmann distribution. Of the hydrogen molecules in the ground state estimate the ratio of the number in the ground rotational state to the number in the first excited...
Al is metal, silvery in colour, with a resistivity of 2.65 μΩ.cm at room temperature. it has the so-called face centred cubic (FCC) structure, in which the fractional coordinates of the atoms within the (conventional cubic, side length of a 4.046 A) unit cell are: (0,0,0), (12%,0), (12,0,%), (0,%,%) The intermetallic compound AbAu is bright purple in colour, has a melting point of 1060°C, is rather brittle, and has a resistivity of p-8 u2.cm.1 the repeating unit is also cubic...