The ideal gas law is PV = nRT and the Van der Waals modification of the ideal gas law is (P+) (V- nb) = nRT. Use the data from the following table to find the temperature T for ten values of pressure from 0 bar to 400 bar. 1. Molon
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- Q1/The pressure drop in pascals (Pa) for a fluid flowing in a pipe with a sudden decrease in diameter can be determined based on the loss of head equation given below: h = 24-11 2g Area A Area A Area A Where: V₂ is the velocity in position 2 (m/s), g: is acceleration due to gravity = 9.81 m/s², A₁ and A₂ are the cross-sectional areas of the tube in position 1 and 2 respectively. A==d² Where: d is the diameter (m). Write a program in a script file that calculates the head loss. When the script file is executed, it requests the user to input the velocity (V₂) in m/s and values of diameters (d, and d₂). The program displays the inputted value of v followed by a table with the values of diameters in the first and second columns and the corresponding values of h, in the third column. 2 2Consider a gas in a piston-cylinder device in which the temperature is held constant. As the volume of the device was changed, the pressure was mecas- ured. The volume and pressure values are reported in the following table: Volume, m Pressure, kPa, when I= 300 K 2494 1247 831 4 623 5 499 416 (a) Usc lincar interpolation to estimate the pressure when the volume is 3.8 m. (b) Usc cubic splinc interpolation to cstimate the pressure when the vol- ume is 3.8 m. (c) Usc lincar interpolation to cstimate the volume if the pressure is meas- ured to be 1000 kPa. (d) Usc cubic splinc interpolation to cstimate the volume if the pressure is mcasured to be 1000 kPa. 4.Water flow at a water treatment plant is often in the units of gallons per day. However, in pipe flows, we often need to express water flow in feet per second. Convert 17,200 gallons per day to feet per second. Round your answer to the nearest ten-thousandth feet/second (i.e., 0.0000).
- A circle in the XY-coordinate system is specified by the center coordinates (x, y) and radius (r). Read the values for 2 circles- x1, y1, r1 for C1 and x2, y2, r2 for C2. (i) Determine whether the 2 circles intersect. To solve the problem it suffices to check if the distance between the 2 centers is lesser than the sum of radii of the 2 circles. (ii) Find the smallest circle that encloses the two circles and return its center coordinates and radius. programming language - cA discharge factor is a ratio which compares the mass flow rate at the end of a channel or nozzle to an ideal channel or nozzle. The discharge factor for flow through an open channel of parabolic cross-section is: K = 1.2 [V16x +1+ In(V16x² +1+4x)]³ 4x where x is the ratio of the maximum water depth to breadth of the channel at the top of the water. Determine the discharge factors for x in the range 0.45 to 0.90 in steps of 0.05. Script e C Reset I MATLAB Docume 1 %Give values for x: 2 3 %Solve for K: 4The electric flux density D at the point M (0,4,0) in the region about a uniform line charge of 1 nC/m lying along the z axis in free space is: Select one: a. None of the above b. 0.6366 nC/m c. 0.2387 nC/m d. 0.039 nC/m e. 0.1 nC/m
- A simple pendulum is formed of a rope of length L = 2.2 m and a bob of mass m. %3D When the pendulum makes an angle e 10° with the vertical, the speed of the %3D bob is 2 m/s. The angular speed, e', at the lowest position is equal to: (g = 10 m/s^2)Two small charged objects attract each other with a force F when separated by a distance d.If the charge on each object is reduced to one-fourth of its original value and the distance between them is reduced to d/2,the force becomes?Calculate the value of g and h in the following equation.
- M D d T M. P- A circular shaft having diameters D and d and a groove of radius r (with M = 0 and P O) is made of steel with the allowable shear stress tall. Find the maximum torque I that can be transmitted by the shaft. Given: D = 28mm, d = 20mm, r = 4mm, and tall = 250 MPa. Please help with this question. The answer should be 157.1 Nm3- The variation of specific volume (ν) internal energy (u) enthalpy (h) and entropy (s) of superheated water with temperature at P=0.01 MPa pressure are presented in the table. By using this data, rebuild the given table for ν, u, h and s between T=50 °C and T=500 °C with ΔT=10 °C steps by using Newton’s divided difference interpolating polynomials. Present your results in a new table.The van der Waal's equation of state is given as RT a v-b v² For sulfur dioxide at temperature, T, of 300 K and a pressure, P, of 1 atm, the constants are given as: R = 0.08206 L.atm/(mol.K) L2.mol² P = a = 6.7689 atm.L b=0.05679 L.mol™¹ a) Plot the function f(v)=0 the for volumes for the range of 0 to 40 L/mol using 0.5 increment. b) Identify the root in this plot (where the curve crosses x-axis). c) Use the MATLAB function (fzero) to solve the original f(v) function for the specific volume using the initial guess from part (c). d) Use the MATLAB function (roots) to solve the original f(v) function for the specific volume.