The density of standard air is a function of temperature and may be approximated using the ideal gas law, according to [ ho=frac{P}{R T} ] where [ egin{array}{l} P= ext { standard atmospheric pressure }(101.3 mathrm{kPa}) \ R= ext { gas constant } ; ext { its value for air is } 286.9 end{array} ] [ ho=operatorname{density}left(mathrm{kg} / mathrm{m}^{3} ight) ] ( T= ) air temperature in Kelvin Create a table that shows the density of air as a function of temperature in the range of ( 0^{circ} mathrm{C}(273.15 mathrm{~K}) ) to ( 50^{circ} mathrm{C}(323.15 mathrm{~K}) ) in increments of ( 5^{circ} mathrm{C} ). Also, create a graph showing the value of density as a function of temperature.
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The standard atmospheric pressure (P) is 101.3 kPa, the gas constant (R) for air is 286.9 J/kg.K, and the temperature (T) ranges from 273.15 K to 323.15 K in increments of 5°C (or 5 K, since the scale is the same). The table would look something like this: | Show more…
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