Write a function file called mixing ratio.m that calculates the mixing ratio for

Question

Write a function file called mixing ratio.m that calculates the mixing ratio for air as described in Appendix B * There should be 2 inputs to mixing ratio.m: temperature T and pressure p There should be 1 output from mixing ratio.m: the value of the mixing ratio w for the given values of T and p * Be sure to include comments describing the function and its inputs and output Appendix B Mixing Ratio The mixing ratio w is the ratio of the mass of water vapor to the mass of dry air. The mixing ratio corresponding to air temperature T and air pressure p is calculated as follows: 0.62197 pe P -Pe where py denotes vapor pressure. Th T as follows: e vapor pressure is calculated in terms of air temperature Pe = 10° where Po = 1013.246 10-373, 16 a, = 11.344 (1-T/10) Oz -3.49149(TO/T-1) bi = -7.90298 (T/T-1) bz = 5.0280810810 (T/T) b13816 (10 -1)/10 ba = 8.1328 (10"2-1)/103 bslogio(Po) and

Explanation / Answer

function w = mixing_ratio(P,T) %function mixing_ratio has 2 inputs P in millibars and T in K

Po = 1013.246;

To = 373.16;

a1 = 11.344*(1-T/To);

a2 = -3.49149*(To/T - 1);

b1 = -7.90298*(To/T - 1);

b2 = 5.02808*log10(To/T);

b3 = -1.3816*(10^a1 -1)/(10^7);

b4 = 8.1328*(10^a2 -1)/(10^3);

b5 = log10(Po);

b = b1 + b2 + b3 + b4 + b5;

Pv = 10^b;

w = 0.62197*Pv/(P - Pv);

end

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