(b) What is the 오 m charge-to-mass ratio of a +2Li-6 ion, which has an atomic mass of 6.015? x C/kg = 2.4e6
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- For a K*- CF ion pair, attractive and repulsive energies E, and ER, respectively, depend on the distance between the ions r, according to 1.436 E4 -- 5.8 x 10-6 ER = For these expressions, energies are expressed in electron volts per K*- Cl- pair, and r is the distance in nanometers. a) If the net energy EN is just the sum of the two expressions above: EN = E+ ER, Find the values of r, and E,? b) If curves of E,, ER and EN are plotted in given figure, compare E, the calculated values of ro and E, with that from the graph. -0.28 nm E,-4.6 eV 0.00 0 10 0.20 0.30 0.40 0.50 060 0.70 0.80 00 1.00The J = 0 J = 1 rotational absorption line occurs at wavelength 0.0026 in C12016 and at 0.00272 m in CxO¹6. Find the mass number of the unknown Carbon isotope.The smallest 14C/12C ratio that can be reliably measured is about 3.0 * 10-15, setting a limit on the oldest carbon specimens that can be dated. How old would a sample with this carbon ratio be?
- 4. From van der Waals equation, using (3²0) T (2²) ₁ = 0 Ꭲ a = ²-RTcVmc 8 Show that = and Tc = b = 8a 27Rb ; Vmc 3 5. Show that the Lennard-Jones energy (i) Pc = a 276² ---(ii) has a minimum value equal to - at r = 2¹/66. Vmc = 3b 12 U₁₁ (r) = 4 € [¹ - (-)]There is approximately 1.33*10^19 kg of the element sodium in the world's oceans. All the rivers add 1.81*10^11 kg per year of sodium. What would the residence time for sodium be in the world's oceans? Please round your answer to the nearest million years (so 1.05*10^6 would be 1 (million years).A lab creates a new element named Elementy McFacium. The element is created ionized with 182 protons and 180 electrons. The nucleus also holds 226 neutrons. What is the change of the ion? (Answer in multiples of the fundamental charge)
- In the Star Trek unaversive there is a creature called a Horta. The Horta is silicon-based life form and would have a bond strength of 3.80 eV. What wavelength of photon would you need in a phasor weapon to destroy the Horta?Assume a hydrogen atom is a sphere with diameter 0.100 nm and a hydrogen molecule consists of two such spheres in contact. (a) What fraction of the space in a tank of hydrogen gas at 0°C and 1.00 atm is occupied by the hydrogen molecules themselves? (b) What fraction of the space within one hydrogen atom is occupied by its nucleus, of radius 1.20 fm?What is the magnitude of the electric field at a distance of 0.1 nm from a thorium nucleus? I have tried 2.304E-8 and 2.07E-6 and they are both wrong
- The electron in the hydrogen atom (in its ground state) orbits the nucleus at a distance of 0.5292 Å. (a) Calculate the gravitational force and (b) the electrostatic force of attraction between the two. (c) Comment on the magnitude and the importance of these two forces. [G, gravitational constant = 6.672 x 10-11 N m2 kg-2; 4+Єo = 1.113 x 10-10 C2 m-1 J-1]= Using the formula for the hydrogen atom energy levels, En constant can be written in terms of fundamental quantities, RH = Me 4 8€ ²h³c Me4 1 860²h² n²¹ the Rydberg and its value approaches, RH → R = 10,973,731.6 m¹ in the limit μ→ me. (a) How would this constant be defined for a one-electron species containing Z protons in its nucleus? Consider how this changes the form of the Hamiltonian and the energy levels for that Hamiltonian. (b) The hydrogen atom emission lines in the Balmer series (n₂ = 2) lie in the visible portion of the electromagnetic spectrum. Would this also be true if Z> 1? Find the wavelength (in nm) of the n = 32 emission in hydrogen and that for a one-electron species with Z = 2. (You will be asked to report a quantity on the quiz that depends on these two values.)4. From van der Waals equation, using (2²) ₁ = =0= (OVD), T a = ² - RT₁Vmc Show that and Tc b 8a 27Rb Vmc 3 5. Show that the Lennard-Jones energy -(1) a Pc = 27b²² ----(ii) has a minimum value equal to - e at r = 2¹/6σ. Vmc = 3b 12 U₁, (r) = 4€ [(-) ¹² - ()]