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Write a MATLAB script that models the population growth in the US: where t is the date in years AD: Use your script to estimate the population P at the following years: 1972,1990,2020,2050 The ideal gas law describes the relationship between pressure (P), temperature (T), volume (V), and the number of moles of sas(n). R, represents the ideal gas constant. PV=nRT Write a Matiab script that that calculates pressure (bar) at a given temperatures (K) and use it to estimate the pressures that correspond to the following data T=300,310,320,340,350,Kn=2molV=1LR=0.08314472Lbar/Kmol The ideal gas law is a good approximation of the behavior of gases when the pressure is low and the temperature is high. In 1873, Johannes Diderik van der Waals proposed a modified version of the better models the behavior of real gases over a wider range of temperature and pressure. (P+n2aN2)(Vnb)=nRT In this equation the additional variables a and b represent values characteristic of individual gases. Write a MA uses the van der Waals' equation to calculate the temperature of water vapor (steam). Use the script to estima PK) at different pressures from the following data. Pressure, P=220,230,240,250 bar Moles, n=2mol Volume, V=1L a=5.536L2bar/mol2 b=0.03049L/mol Ideal gas constant, R=0.08314472 L bar/ Kmol \begin{tabular}{|llll} 1.3674 & 1.4238 & 1.4803 & 1.5368 \\ \hline 1367.4 & 1423.8 & 1480.3 & 1536.8 \\ \hline 1.3674 & 1.4238 & 1.5503 & 1.6368 \\ \hline 1367.4 & 1423.8 & 1580.3 & 1536.8 \end{tabular}