In the ammonia (NH3) molecule of the figure, three hydrogen (H) atoms form an equilateral triangle, with the center of the triangle at distance d = 9.40 × 10-11 m from each hydrogen atom. The nitrogen (N) atom is at the apex of a pyramid, with the three hydrogen atoms forming the base. The nitrogen-to-hydrogen atomic mass ratio is 13.9, and the nitrogen-to-hydrogen distance is L = 10.14 × 10-11 m. What are the (a) x and (b) y coordinates of the molecule's center of mass? N L HO H d H (a) Number i Units This answer has no units (b) Number i Units This answer has no units

8.85 x 10-12 C2 Useful Constants: k = 9.00 x 10° Nm2 C2 %3D €0 = Nm2 e = 1.6 x 10-19C %3D me = -31 kg = 9.11 × 10 31 kg

Viscosity of fluid plays a significant role in the analyses of many fluid dynamics problems. The viscosity of water can be determined from the following correlation: q10(72,) where e = viscosity (N/s•m²) T- temperature (K) - 2.414 x 10-s 2 - 247.8 (K) s = 14 0 (K) What is the appropriate unit for q, if the above equa- tion is to be homnogeneous in units?

At what temperature would the rms speed of hydrogen atoms equal the following speeds? (Note: The mass of a hydrogen atom is 1.66 x 10-27 kg.) (a) the escape speed from Earth, 1.12 x 104 m/s K (b) the escape speed from the Moon, 2.37 x 10³ m/s K

In a gas that is a mixture of water (two H and one O) and carbon dioxide (one C and two O), if the water has average velocity of 347 m/s, what is the average velocity of the carbon dioxide molecule? Give your answer as number in units of m/s without entering the units.

25. A movable circular lid rests on top of an a gas-filled a cylinder; the cylinder and lid have a radius of 12.0 cm; the lid has a weight of 800 N. Outside the cylinder is atmospheric pressure, 1.01 x 105 Pa. Inside the cylinder are 6.0 moles of argon gas. The gas temperature is 400 °K. What is the volume of the gas (in cubic meters)? The atomic mass of argon is 39.95. (a) 0.04 (b) 0.21 (c) 0.17 (d) 0.13 (e) none of these osodilo 0 (0) 2 (0) SC on (s)

Pd Pd 1. Let's consider a toy model of nuclear fission. Suppose an nucleus of Uranium-235 (92 protons, molar weight of 235 g/mole) "splits" into two "daughter" nuclei of Palladium (46 protons each) – this is not how it really happens, but it's a very simple model that actually gives fairly accurate results. The radius of the original U-235 nucleus is about 7.4 x 10-15 m. (a) If the Pd nuclei each have half the volume of the U nucleus, which is reasonable, and they are "touching" right after the split, how far apart are their centers? (b) Using conservation of energy, what will be the sum of the kinetic energies of the Pd nuclei when they are far apart from each other? (c) That's energy of one atom undergoing fission, so what, then, is the energy released by the fission of 1 kg of U-235? Express this in Joules and also in kilotons of TNT, where 1 kt = 4.2x1012 J. (The Hiroshima bomb yielded about 15 kt) (d) How many kwh (kilowatt-hours) of energy is this, (1 kwh = 3.6x10° J), and (if…