The packing ratio is defined as a fraction of the total volume of the unit cell that is filled by atoms. Determine the maximum values of the packing ratio for equal spheres located at the points of simple cubic, body-centered cubic, face-centered cubic, and hcp structures
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- Calculate the temperature T of a sample of gas when the average translational kinetic energy of a molecule in the sample is 8.23 x 10-21 J. T = K What is the total translational kinetic energy Krans of all the molecules of this sample when it contains 2.21 moles of gas? Ktrans = JPls help on this question.If you double the typical speed of the molecules in a gas, by what factor does the pressure change? Give a simple explanation why the pressure changes by this factor.
- The only form of energy possessed by molecules of a monatomic ideal gas is translational kinetic energy. From kinetic, the average kinetic energy per molecule is KE %3D molecule Use these results to show that the internal energy of a monatomic ideal gas at pressure P and occupying volume V may be written as U = This answer has not been graded yet. Need Help? Read ItThe following data (figure) describe the diffusion of a substitutional impurity atom in a polycrystalline solid. Each data set below (A, B, and C) is associated with a characteristic diffusion environment for the impurity atom. The possible diffusion environments are: surface diffusion, volume diffusion, grain boundary diffusion. Based on your understanding of solid-state diffusion mechanisms and processes, name the diffusion environment most likely associated with each data set:The potential energy of two atoms in a diatomic molecule is approximated by U(r) = a/r12-b/r6, where r is the spacing between atoms and a and b are positive constants. Suppose the distance between the two atoms is equal to the equilibrium distance found in part A. What minimum energy must be added to the molecule to dissociate it - that is, to separate the two atoms to an infinite distance apart? This is called the dissociation energy of the molecule. Express your answer in terms of the variables a and b. For the molecule CO, the equilibrium distance between the carbon and oxygen atoms is 1.13\times 10-10m and the dissociation energy is 1.54\times 10-18J per molecule. Find the value of the constant a. Express your answer in joules times meter in the twelth power. Find the value of the constant b. Express your answer in joules times meter in the sixth power.
- a) Estimate the average spacing between the molecules of 1 mol of an ideal gas at a pressure of 1atm and a temperature of 300 K. b) 1 mol of liquid water occupies a volume of 18 cm. Estimate the spacing between molecules. c) Use your result from part (a) to estimate the diameter of a water molecule. d) Estimate the factor by which water expands when it boilsHow would I draw the following graphs for a simple ohmic device from the equations V=IR and P=IV=I^2R=V^2/R: plot V vs. I with constant R, plot P vs V with constant R, plot P vs R with constant I, and plot P vs I with constant R.In the Taylor Expansion, it looks like they've made x_0 = x_1, x_2 and made x = x_1 - a, x_2 - a. I don't understand how they can use that substitution for x_0 since it is a constant, and x_1 and x_2 are variables that can change.
- 9-90. The starter for an electric motor is a full cylinder and has the cross-sectional areas shown. If copper wiring has a density of Peu = 8.90 Mg/m³ and the steel frame has a density of Pst = 7.80 Mg/m³, estimate the total mass of the starter. Neglect the size of the copper wire. Problem 9-90 Steel Copper 80 mm 50 mm 30 mm 100 mm 60 mmThe force on a satellite in the earth’s upper atmosphere depends on the mean free path of the molecules (a length), the density , the diameter of the body , and the molecular speed such that . Using the method of repeating variables, determine a non-dimensional functional relationship for the force. Hint: Use 3 repeating variables instead of 2 in order to simplify the problem by reducing the number of required pi terms needed.The temperature of an ideal monatomic gas is increased from 25C to 50C. Does the average translational kinetic energy of each gas atom double? Explain. If your answer is no, what would the final temperature be if the average translational kinetic energy was doubled?