An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Chapter 6.1, Problem 8P
To determine
The fraction of ionized hydrogen.
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A hydrogen atom has a radius of 0.05 nm with a position accuracy of 1.0%. Calculate the uncertainty in the atom’s velocity. Use "E" format for scientific notation (i.e. for 1.23 x 10, write as 1.23E–9). Do not Include the units in your answer.
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Chapter 6 Solutions
An Introduction to Thermal Physics
Ch. 6.1 - Prob. 2PCh. 6.1 - Prob. 4PCh. 6.1 - Prob. 5PCh. 6.1 - Prob. 6PCh. 6.1 - Prob. 7PCh. 6.1 - Prob. 8PCh. 6.1 - Prob. 9PCh. 6.1 - Prob. 10PCh. 6.1 - Prob. 11PCh. 6.1 - Prob. 12P
Ch. 6.1 - Prob. 13PCh. 6.1 - Prob. 14PCh. 6.2 - Prob. 15PCh. 6.2 - Prob. 16PCh. 6.2 - Prob. 17PCh. 6.2 - Prob. 18PCh. 6.2 - Prob. 19PCh. 6.2 - Prob. 20PCh. 6.2 - For an O2 molecule the constant is approximately...Ch. 6.2 - The analysis of this section applies also to...Ch. 6.3 - Prob. 31PCh. 6.4 - Calculate the most probable speed, average speed,...Ch. 6.4 - Prob. 35PCh. 6.4 - Prob. 36PCh. 6.4 - Prob. 37PCh. 6.4 - Prob. 39PCh. 6.4 - Prob. 40PCh. 6.5 - Prob. 42PCh. 6.5 - Some advanced textbooks define entropy by the...Ch. 6.6 - Prob. 44PCh. 6.7 - Prob. 45PCh. 6.7 - Equations 6.92 and 6.93 for the entropy and...Ch. 6.7 - Prob. 47PCh. 6.7 - For a diatomic gas near room temperature, the...Ch. 6.7 - Prob. 49PCh. 6.7 - Prob. 50PCh. 6.7 - Prob. 51PCh. 6.7 - Prob. 52PCh. 6.7 - Prob. 53P
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- A) What is the approximate wavelength emitted from helium represented by the bright yellow emission line below? What is it's frequency in HZ and energy in eV? (1 eV= 1.6 x 10-19 joules). B) If the excited helium electron that emits a yellow photon in this line starts with a potential energy of 8 eV, what is the potential energy of the electron afterwards? Assume that the emission of a yellow photon is allowed by the laws of quantum mechanics. Also don't worry about the other electron.arrow_forwardWhat will be the energy associated with a blue photon (in electronvolts, eV), if the frequency of the blue light is 650 THz (Terahertz (THz); 1 Tera = 1012)? [Hint: Use Planck's equation: E - hf to calculate the photon energy! h- Planck's constant – 6.63 x 10-34 Js = 4.14 x1015 eVs] A. 6.5 eV B. 6.5×10-3 eV C. 2.7 eV D. 2.7×10-27eV E. 2.7x107 eVarrow_forwardA)Calculate the frequency when an electron drops from n=5 to the n=4 level in a hydrogen atom. Round your answer to 4 significant digits. B)An electron in the hydrogen atom makes a transition from an energy state of principal quantum number ni to the n=2 state. If the photon emitted has a wavelength of 434nm , what is the value of ni? Round your answer to the nearest whole number.)arrow_forward
- Calculate the speed of the electron in a hydrogen atom in the state n = 5, in m/s. Express your answer as vx 10° m/s and type in just the value of v. Use three decimals in your answer.arrow_forwardIf a hydrogen atom in the ground state absorbs a 93.7 nm photon, corresponding to a transition line in the Lyman series, how does this affect the atom's energy and size? How much energy is needed to ionize the atom when it is in this excited state? Give your answers in absolute units, and relative to the ground state. (the Lyman series is a hydrogen spectral series of transitions and resulting ultraviolet emission lines of the hydrogen atom as an electron goes from n ≥ 2 to n = 1 (where n is the principal quantum number), the lowest energy level of the electron.)arrow_forwardLet us consider the Zeeman Effect acting on a hydrogen spectra. For an unaffected transition from orbital 4 to orbital 2, calculate the wavelength of the light emitted. (7 significant figures) If exposed to a magnetic field of great strength, the Zeeman Effect occurs. For an electron in hydrogen undergoing a transition from the 4 I to the 2 s orbital, the spectral line splits, creating a change in wavelength for the mi = 1 and -1 states of approximately +0.0055nm. Based on this fine splitting, calculate the change in energy between the mi = 1 and the mi = 0 %3D state. We know that the potential energy of a magnetic moment in a magnetic field is expressed: U = -µB and that the Bohr magneton (µ) has a value of e*h/(2me). Given this value for the %D magnetic moment, determine the strength of magnetic field the hydrogen sample has been exposed to. (Hint: it is not greater than 1 Tesla)arrow_forward
- Determine the classical orbital elements (a, e, i, 2, w, f,) for (1) L, = (8800.00 ) km and v, = (0.943736 i-6.31469 k) km/s and %3D %3D (ii). r, = (3818.14 i+8148.07 j+504.90 k) km, r, = (3533.28 i +8280.22 j +525.91k) km r =(-3969.52 î + 8512.67 j + 821.75 k) km. Assume u= 3.986 x 10° km /s? (i.e., geocentric orbits)arrow_forwardA doubly ionized lithium atom (Li++) is one that has had two of its three electrons removed. The energy levels of the remaining single-electron ion are closely related to those of the hydrogen atom. The nuclear charge for lithium is +3e instead of just +e. How are the energy levels related to those of hydrogen? How is the radius of the ion in the ground level related to that of the hydrogen atom? Explain.arrow_forwardA triply ionised beryllium atom (Be+++, Z = 4) has only one electron in orbit about the nucleus. If the electron decays from the n 7 level to the first excited state (n = 2), calculate the wavelength of the photon emitted. Please give your answer in units of nm, rounded to one decimal place. Answer:arrow_forward
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