ME 2173 MATLAB Project 5
Numerical Methods Using MATLAB Click Link Below To Buy:

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The properties of Superheated Steam at pressure 200 kPa are shown in the table below:
Table 1
Temp
°C p=200 kPa (120.2 C) volume

v(m^3/kg) energy

u(k)/kg) enthalpy

h(k)/kg) entropy

s(k)/kg.K)
150 0.960 2577.1 2706.2 7.127
200 1.081 2654.6 2769.1 7.281
250 1.199 2731.4 2870.7 7.508
300 1.316 2808.8 2971.2 7.710
350 1.433 2887.3 3072.1 7.894
400 1.549 2967.1 3173.9 8.064
450 1.666 3048.5 3277.0 8.224
500 1.781 3131.4 3381.6 8.373
600 2.013 3302.2 3487.7 8.515
700 2.244 3479.9 3704.8 8.779
800 2.476 3664.7 3928.8 9.022
900 2.707 3856.3 4159.8 9.248
1000 2.938 4054.8 4397.6 9.460

The Ideal-gas specific heat at constant pressure cp in kJ/kmol • K of water vapor as a function of temperature (in Kelvin, °K) is given by: cp(T) = a + bT + cT2 + dT3 where a = 32.24, b = 0.1923 x 10-2, c = 1.055 x 10-5, d = —3.595 x 10-9. cp = c,, + R, and the gas constant, R= 0.4615 kJ/kg • K. For the computations below, convert the temperature to Kelvin: K=273+°C
a. Use spline interpolation to increase the data points in table 1 for T, v, u, h, s, by creating a temperature vector in K Tnew = [150: 50:1000] + 273 and using it in the function 'interpl' to form the new vectors vnew, anew, hnew, Snew; e.g. vnew= interpl(T+273, v, Tnew,'spline').
b. Create a 1x2 subplot: subplot (1, 2, 1) has anew , hnew vs Tnew and the data plots of u, h vs Ton the same graph; subplot (1, 2, 2) has 'new , Snew VS Tnew and the data plots of v, s vs T on the same graph. Show the axes labels and the legends
c. Using Simpson's 1/3 rule, compute the change in internal energy of steam from 150°C to 1000°C at pressure p =200 kPa , Au= f 1273K cvdT . Use the new data set in 'a' above.
423K
a. Using the trapezoidal rule and the new data set