Using Matlab The ideal gas law relates the pressure \'P\', volume \'V\', absolut

Question

Using Matlab

The ideal gas law relates the pressure 'P', volume 'V', absolute temperature 'T', and the amount of gas 'n.

The law is: P=nRT / V

Where R is a gas constant, 8.31434 J mol^-1K^-1

An engineer must design a large natural gas stroage tank to be expandable to maintain the pressure constant of 2.2 atm. In December when the temperature is 4 deg F (-15degC the volume of gas in the tank is 28,500 ft^3 What would the volume of the same quantity of gas be in July when the tempurature is 88 deg F(31deg C)? Us n, R and P as constants in this problem. NOTE: =degC + 273.2

Explanation / Answer

The ideal gas relates to P,V,T Pressure,Volume and Temperature.

The given equation is P = nrt/v

R is constant and its value is 8.31434

Temperature = 293 F

n =1.0

%Ideal gas equation p = nrt/v
%function P = idealP(n,V,T)
T1 =4; % units of temperature in kelvi
T2 =88; % units of temperature in kelvin
% define R
R=8.31434; % units j.atm.mol^-1
% define n
% define p
n=1;
p= 2.2;

v1=T1.(nR/P)
v2=T2.(nR/P)

v1/v2 = T1/T2
%calculate V2
v2 = (T2/T1).v1

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