4.4 The Gibbs free energy of 1 mole of hydrogen at temperature T is G=-RT In (T /To}P| - Here the gas constant R= 8.31441J/K and To = 4.44418K. Determine the temperature at which G = –1E5J.
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- The density of a sample of FCC palladium is 11.98 g/cm3, and its lattice parameter is 3.8902 A...Calculate (a) the fraction of the lattice points that contain vacancies: and (b) the total number of vacancies in a cubic centimeter of Pd.The circular rod shown is made of the steel alloy AISI 4140 OQT 900. It has a diameter of 1.00 in and an initial length of 48 in. An axial tensile load of 15 000 lb. is applied during a certain operation. Compute: 1. the equivalent spring constant K, 2. the deformation X of the rod. The Young's modulus of the steel is known to be 30,000,000 psi. F=15 000 lb L= 48 in F=15 000 lbThe following is used to model a wave that impacts a concrete wall created by the US Navy speed boat.1. Derive the complete piecewise function of F(t) and F()The concrete wall is 2.8 m long with a cross-section area of 0.05 m2. The force at time equal zero is 200 N. It is also known that the mass is modeled as lumped at the end of 1200 kg and Young’s modulus of 3.6 GPa2. Use *Matlab to simulate and plot the total response of the system at zero initial conditions and t0 = 0.5 s
- For an object of mass m=3 kg to slide without friction up the rise of height h=1 m shown, it must have a minimum initial kinetic energy (in J) of: h O a. 40 O b. 20 O c. 30 O d. 10If the crystal lattice constant is the length of the edge of the cube crystal unit in sodium, whose composition is type (BCC) equaí to (4.24A°) angstroms. What is the distance between two neighboring atoms? Calculate the sodium density if its atomic weight is (23).2. Heat conduction in a square plate Three sides of a rectangular plate (@ = 5 m, b = 4 m) are kept at a temperature of 0 C and one side is kept at a temperature C, as shown in the figure. Determine and plot the ; temperature distribution T(x, y) in the plate. The temperature distribution, T(x, y) in the plate can be determined by solving the two-dimensional heat equation. For the given boundary conditions T(x, y) can be expressed analytically by a Fourier series (Erwin Kreyszig, Advanced Engineering Mathematics, John Wiley and Sons, 1993):
- 3) The empirical formula of sugar is CH₂O and its molar mass is 180.2 g/mole. If one teaspoon of sugar weighs 3.50 g, how many moles of sugar and how many molecules of sugar are present? 4) A hydrate of copper(II) sulfate is 25.5% copper by mass. How many water molecules are there for each unit of copper(II) sulfate?Suppose that a parachutist with linear drag (m=50 kg, c=12.5kg/s) jumps from an airplane flying at an altitude of a kilometer with a horizontal velocity of 220 m/s relative to the ground. a) Write a system of four differential equations for x,y,vx=dx/dt and vy=dy/dt. b) If theinitial horizontal position is defined as x=0, use Euler’s methods with t=0.4 s to compute the jumper’s position over the first 40 s. c) Develop plots of y versus t and y versus x. Use the plot to graphically estimate when and where the jumper would hit the ground if the chute failed to open.A reservoir discharging water through sluices at a depth hbelow the water surface area Afor various values has given below: hft1011121314( . .)Asqft9501070120013501530If tdenotes time in minutes, the rate of fall of the surface is given by 48dhhAdtEstimate the time taken for the water level to fall from 14 to 10 ft. above the sluices.
- 1) Given the sinusoidal voltage v(t) 50 cos(30t + 10°) V, find: (a) the amplitude Vm, (b) the period T, (c) the frequency f, and (d) v(t) at t= 10 ms.Suppose we have an 80-lb lead-acid battery. 10% of the weight of the battery is active material on the plates, i.e., we have a total of 8 lb of active Pb and PbO, on the plates that can be used to make electric power. Use the Gibbs free energy method to estimate the total stored energy in the battery. Assume that the open circuit voltage for a lead-acid cell is 2.1 V. [The answer should be a little less than 1 kilowatt-hour of energy.]A bicycle wheel has a diameter of 64.6 cm and a mass of 1.87 kg. Assume that the wheel is a hoop with all of the mass concentrated on the outside radius. The bicycle is placed on a stationary stand and a resistive force of 125 N is applied tangent to the rim of the tire. (a) What force must be applied by a chain passing over a 8.96 cm diameter sprocket if the wheel is to attain an acceleration of 4.49 rad/s22? (b) What force is required if the chain shifts to a 5.57 cm diameter sprocket?
