Question

visual studio 2017 c++

4) The work produced by a piston-cylinder device depends on the pressure inside the cylinder and the amount the piston moves, resulting in a change in volume inside the cylinder. Mathematically In order to integrate this equation, we need to understand how the pressure changes with the volume. We can model most combustion gases as air and assume that they follow the ideal gas law PV- nRT where P- pressure, kPa, volume, m n- number of moles, kmol. R = universal gas constant, 8.314 kPa m3/kmol K, and T-temperature, K. If there is 1 kmol of gas at 300 K, use the Trapezoidal rule (Number of Trapezoids 100) to calculate the work either done on the gas or produced by the gas as it expands or contracts between two known volumes. Use initial volume 1 m and final volume 5 m3

Answer 1

#include<iostream>

using namespace std;

double f(double v)
{
   double n=1,T=300,R=8.314;
   double P = n*R*T/v;
   return P;
}
int main()
{
   int vL=1,vR=5,panels=100;
   double h = (vR-vL)*1.0/panels,v,b1,b2;
   v=vL;
   double work = 0;
   while (v<vR)
   {
       b1=f(v);
       b2=f(v+h);
       work = work +(.5*h*(b1+b2));
       v=v+h;
   }
   cout<<"Work Done: "<<work;
   return 0;
  
}

Work Done: 4014.58 Process exited after 0.519 seconds with return value 0 Press any key to continue