Homework Answers
At temperature close to Tm , high growth rate and low nucleation is observed.
At lower temperatures, high nucleation and low growth rate is observed. Overall transformation rate curve lies somewhere in the middle of these two. Option 3 gives the answer.
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Consider a phase transformation where the overall transfomation is a combination of the nucleation and growth...
The driving force for growth in a phase transformation is ? a) The energy level of...
The driving force for growth in a phase transformation is ? a) The energy level of the atom. b) The temperature diferance c) The crystal structure d) The excess energy e) The chemical composition
True/False on Phase Transformation The figure below depicts four major phase transformations in steels (1.2.3. @)....
True/False on Phase Transformation The figure below depicts four major phase transformations in steels (1.2.3. @). Determine whether the following statements are true or false. Each question is 3 pts. 1 11. 1 725 1/ U Coarse 10 Pearlite + P Fine Upper Temperature B Bainite Lower ME @ y + Martensite Martensite Time MA Question 16 (3 points) The cooling rate of 3 is faster than the cooling rate of 2. Question 16 (3 points) The cooling rate of...
1. Single Species Growth Consider a single population where the per capita birth rate declines as...
1. Single Species Growth Consider a single population where the per capita birth rate declines as the population size grows. Let N(t) be the population size at time t. Consider the following assumptions: (A1) The environment in which the species lives (including the climate, other species and the availability of resources like food, etc.) remains constant. (A2) The per capita birth rate is for some b>0. (A3) The per capita death rate is a constant d > 0. Note: This...
Consider the Solow growth model with the following production function where y is output. K is ca...
A and B only
Consider the Solow growth model with the following production function where y is output. K is capital, s is the productivity and is labor. Assume that 0 < α < 1 Further, suppose that labor grows at a constant rate n. That is. 1 + n. Also, assume that capital depreciates at rate d and that gross investment in capital is fraction s of output. a Letting k-N, obtain the law of motion for capital accumulation...
a. Write down a differential equation for bacterial growth during the exponential phase (batch culture), where...
a. Write down a differential equation for bacterial growth during the exponential phase (batch culture), where k is the instantaneous growth rate. b. Solve the equation. Your solution should be a continuous function that gives the number of cells as a function of time. c. Write an equation for the doubling time (generation time) in terms of k. d. Parameterize your equation as follows: Assume that you start with 10 cells, and that it takes each cell 30 minutes to...
15. Consider an economy, with a production function given by Y-AK03L07. This economy's annual GDP growth...
15. Consider an economy, with a production function given by Y-AK03L07. This economy's annual GDP growth rate is 5%. Also assume that L and Kare both growing at annual rates of 2%. Calculate the growth rate of total factor productivity for this economy. a. 2.0% b. 3.0% 4.0% c. d. 5.0% 16. Suppose output is determined by a Cobb-Douglas production function Y=AK L1 Where 0ca<1. If total factor productivity (A) remains constant, but labour (L) and capital (K) inputs both...
URGENT Question 3 Consider a binary eutectic phase diagram, shown in the figure below, where substances...
URGENT
Question 3 Consider a binary eutectic phase diagram, shown in the figure below, where substances A and B, which have partial solubility within each other in the solid state, will form the solid a and solid B solution phases. See the eutectic phase diagram containing the partial resolution and explain in detail the phases obtained by drawing the change graphs of the mixture with the mixture of Gibbs free energy at different temperatures. Constants: R=2 cal/molK= 8.32 J/molK=0.082 liter...
Consider the endogenous growth model, where the future period quantity of human capital is a function...
Consider the endogenous growth model, where the future period quantity of human capital is a function of current human capital, which drives production and thus growth. In the competitive equilibrium, C = Y and human capital accumulation is characterized as follows: | H' = -(1- tu)H, where H' represents the future quantity of human capital, H represents the current quantity of human capital, b captures the efficiency of human capital accumulation and (1 - u) denotes the fraction of time...
The gas phase reaction OH(g) + CH4(g) → H2O(g) + CH(g) is second order overall and...
The gas phase reaction OH(g) + CH4(g) → H2O(g) + CH(g) is second order overall and first order in both reactants. The initial rate of appearance (measured at constant volume and temperature) of HO as a function of temperature is given in the table below. The initial concentration of OH and CH, is 0.500 mol m23. (a) Calculate the Arrhenius parameters for the rate constant. (b) Calculate the initial rate and concentration of OH and H,O after 1 ms at...
Problem 4 Consider a country with production function , where y = 5k1/2, where y is...
Problem 4
Consider a country with production function , where y =
5k1/2, where y is the output per worker and k is capital
per worker. Suppose the investment in capital occurs at a rate of
35% of income per worker every period, depreciation rate is 1.5%
and population growth rate is 2%. Use excel to plot the production
function, investment line and capital depletion line with k on the
x-axis(use the attached spread sheet to draw your graphs).
-attached...
True/False on Phase Transformation The figure below depicts four major phase transformations in steels (1.2.3. @). Determine whether the following statements are true or false. Each question is 3 pts. 1 11. 1 725 1/ U Coarse 10 Pearlite + P Fine Upper Temperature B Bainite Lower ME @ y + Martensite Martensite Time MA Question 16 (3 points) The cooling rate of 3 is faster than the cooling rate of 2. Question 16 (3 points) The cooling rate of...
1. Single Species Growth Consider a single population where the per capita birth rate declines as the population size grows. Let N(t) be the population size at time t. Consider the following assumptions: (A1) The environment in which the species lives (including the climate, other species and the availability of resources like food, etc.) remains constant. (A2) The per capita birth rate is for some b>0. (A3) The per capita death rate is a constant d > 0. Note: This...
A and B only
Consider the Solow growth model with the following production function where y is output. K is capital, s is the productivity and is labor. Assume that 0 < α < 1 Further, suppose that labor grows at a constant rate n. That is. 1 + n. Also, assume that capital depreciates at rate d and that gross investment in capital is fraction s of output. a Letting k-N, obtain the law of motion for capital accumulation...
15. Consider an economy, with a production function given by Y-AK03L07. This economy's annual GDP growth rate is 5%. Also assume that L and Kare both growing at annual rates of 2%. Calculate the growth rate of total factor productivity for this economy. a. 2.0% b. 3.0% 4.0% c. d. 5.0% 16. Suppose output is determined by a Cobb-Douglas production function Y=AK L1 Where 0ca<1. If total factor productivity (A) remains constant, but labour (L) and capital (K) inputs both...
URGENT
Question 3 Consider a binary eutectic phase diagram, shown in the figure below, where substances A and B, which have partial solubility within each other in the solid state, will form the solid a and solid B solution phases. See the eutectic phase diagram containing the partial resolution and explain in detail the phases obtained by drawing the change graphs of the mixture with the mixture of Gibbs free energy at different temperatures. Constants: R=2 cal/molK= 8.32 J/molK=0.082 liter...
Consider the endogenous growth model, where the future period quantity of human capital is a function of current human capital, which drives production and thus growth. In the competitive equilibrium, C = Y and human capital accumulation is characterized as follows: | H' = -(1- tu)H, where H' represents the future quantity of human capital, H represents the current quantity of human capital, b captures the efficiency of human capital accumulation and (1 - u) denotes the fraction of time...
The gas phase reaction OH(g) + CH4(g) → H2O(g) + CH(g) is second order overall and first order in both reactants. The initial rate of appearance (measured at constant volume and temperature) of HO as a function of temperature is given in the table below. The initial concentration of OH and CH, is 0.500 mol m23. (a) Calculate the Arrhenius parameters for the rate constant. (b) Calculate the initial rate and concentration of OH and H,O after 1 ms at...
Problem 4
Consider a country with production function , where y =
5k1/2, where y is the output per worker and k is capital
per worker. Suppose the investment in capital occurs at a rate of
35% of income per worker every period, depreciation rate is 1.5%
and population growth rate is 2%. Use excel to plot the production
function, investment line and capital depletion line with k on the
x-axis(use the attached spread sheet to draw your graphs).
-attached...
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