![Consider Miller Indices. If you consider two arbitrary directions [hj k1 1] and [h2 k2 /2], the angle between them is given by the following formula: 122 Given that calculate the angle between two planes [100] and [111]. (Hint: directions are normal (perpendicular) to a plane. Show thatio0) and (010) planes are perpenrt eah.](http://img.homeworklib.com/questions/00e22400-c32b-11ea-9f3f-f7126f28a2cf.png?x-oss-process=image/resize,w_560)
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Consider Miller Indices. If you consider two arbitrary directions [hj k1 1] and [h2 k2 /2],...
A2. Chemical Kinetics (20 marks) MBr2 Br Br M k1 |(1) k2. Br H2 HBr H k2,r (2) k3,f HBr2 HBr Br (3) + Experimentally me...
A2. Chemical Kinetics (20 marks) MBr2 Br Br M k1 |(1) k2. Br H2 HBr H k2,r (2) k3,f HBr2 HBr Br (3) + Experimentally measured rate expression for [HBr] given as below: d [HBr] A1exp[H2] [Br2]1/2 HBr 1+ A2exp TBr2 dt Consider the above elementary reactions mechanism proposed by Bodenstein to explain their experimental findings of the reaction rate of HBr. Reactions 1 and 2 are bi-directional (forward and reverse) while reaction 3 is uni-directional (forward only) as written....
1. Consider the reaction: 2 NO (g) + 2 H2 (g) → N2 (g) + 2...
1. Consider the reaction: 2 NO (g) + 2 H2 (g) → N2 (g) + 2 H2O (g). If the rate of change in NO is -0.68 M s^-1 then write the rate of change for the other reactants and products. What is the rate of the reaction? 2. Consider the reaction: CH3COOC2H5 (aq) + OH- (aq) → CH3CO2- (aq) + CH3CH2OH (aq) The reaction is known to be first order in CH3COOC2H5 and first order in OH-. The second-...
2. Microcanonical ensemble: One-dimensional chain. (24 pts.) Consider a one-dimensional chain consisting of N segments as illus- trated in Figure 1. Let the length of each segment be a when the...
2. Microcanonical ensemble: One-dimensional chain. (24 pts.) Consider a one-dimensional chain consisting of N segments as illus- trated in Figure 1. Let the length of each segment be a when the long dimension of the segment is parallel to the chain and 0 when the long dimension is normal to the chain direction. Each segment has just two non-degenerate states: long dimension parallel to the chain or perpen- dicular to the chain. Now consider a macrostate of the chain in...
Problem 2. Consider the following joint probabilities for the two variables X and Y. 1 2...
Problem 2. Consider the following joint probabilities for the two variables X and Y. 1 2 3 .14 .25 .01 2 33 .10 .07 3 .03 .05 .02 Find the marginal probability distribution of Y and graph it. Show your calculations. b. Find the conditional probability distribution of Y (given that X = 2) and graph it. Show your calculations. c. Do your results in (a) and (b) satisfy the probability distribution requirements? Explain clearly. d. Find the correlation coefficient...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
A2. Chemical Kinetics (20 marks) MBr2 Br Br M k1 |(1) k2. Br H2 HBr H k2,r (2) k3,f HBr2 HBr Br (3) + Experimentally measured rate expression for [HBr] given as below: d [HBr] A1exp[H2] [Br2]1/2 HBr 1+ A2exp TBr2 dt Consider the above elementary reactions mechanism proposed by Bodenstein to explain their experimental findings of the reaction rate of HBr. Reactions 1 and 2 are bi-directional (forward and reverse) while reaction 3 is uni-directional (forward only) as written....
2. Microcanonical ensemble: One-dimensional chain. (24 pts.) Consider a one-dimensional chain consisting of N segments as illus- trated in Figure 1. Let the length of each segment be a when the long dimension of the segment is parallel to the chain and 0 when the long dimension is normal to the chain direction. Each segment has just two non-degenerate states: long dimension parallel to the chain or perpen- dicular to the chain. Now consider a macrostate of the chain in...
Problem 2. Consider the following joint probabilities for the two variables X and Y. 1 2 3 .14 .25 .01 2 33 .10 .07 3 .03 .05 .02 Find the marginal probability distribution of Y and graph it. Show your calculations. b. Find the conditional probability distribution of Y (given that X = 2) and graph it. Show your calculations. c. Do your results in (a) and (b) satisfy the probability distribution requirements? Explain clearly. d. Find the correlation coefficient...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
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