Program that compares the effect of number carbon atoms on the stoichiometric co-efficient with respect to the combustion of different fuel type.

DETAILED REPORT ON STOICHIOMETRIC RATIO CALCULATOR (WEEK-3 CHALLENGE)

1. AIM

To write a program that compares the effect of number carbon atoms on the stoichiometric co-efficient with respect to the combustion of different fuel type.

2. EQUATIONS/ FORMULAE USED

Generic alkane combustion, Cn H_2n+2 + ar(O₂ + 3.76 N₂) = aCO₂ + bH₂O + cN₂

Generic alkene combustion, Cn H_2n + ar(O₂ + 3.76 N₂) = aCO₂ + bH₂O + cN₂

Generic alkyne combustion, Cn H_2n-2 + ar(O₂ + 3.76 N₂) = aCO₂ + bH₂O + cN₂

Here

n = Number of atoms of C

ar = Stoichiometric co-efficient

a = Number of moles of Carbon-di-oxide

b = Number of moles of water

c = Number of moles of nitrogen

Relation between stoichiometric co-efficient and number of atoms of carbon

Alkane combustion, ar = (3n+1)/2

Alkene combustion, ar = (3n)/2

Alkyne combustion, ar = (3n-1)/2

3. OBJECTIVES & PROCEDURE

• The main objective of the challenge is to write a simple code to compare the behavior of Alkane, Alkene and Alkyne combustion.
• In the process, Firstly we balance the chemical equation and find the relation between stoichiometric co-efficient and number of atoms of carbon.
• The stoichiometric coefficient (ar) value is calculated over a range of number of carbon atoms (n ranging from 1 to 20) for each hydrocarbon and graph is plotted.

4. PROGRAM

Programming language used – Octave 5.1.1

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Program 
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% Stoichiometric cumbustion of Hydrocarbons
% n = number of atoms of carbon and a_r = stoichiometric coefficient  

n = linspace(1,20,20);

% Alkane combustion
% Generic Alakne - Cn H2n+2

% Relation between n and ar =(3n+1)/2
a_r1 = (3*n+1)/2;

% Alkene combustion
% Generic Alkene - Cn H2n

% Relation between n and ar =3*n/2
a_r2 = (3*n)/2;

% Alkyne combustion 
% Generic Alkyne - Cn H2n-2

% Relation between n and ar =(3n-1)/2
a_r3 = (3*n-1)/2;

% Plot comparing the relation between n and ar of Hydrocarbons 
figure(1)
plot(n,a_r1, 'Linewidth',2)
hold on
plot(n,a_r2, 'Linewidth',2)
hold on
plot(n,a_r3, 'Linewidth',2)

axis([1 20 0 35])

title('Number of atoms of carbon vs Stoichiometric coefficient');

xlabel('Number of atoms of carbon','Fontsize',20);
ylabel('Stoichiometric coefficient','Fontsize',20);

legend('Alkane','Alkene','Alkyne');

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5. RESULTS

Graph

6. CONCLUSION

1. From the above graph, it can be clearly seen that its stoichiometric coefficient is increasing linearly as the number of carbon atoms increases.
2. The trend obtained from the results is that for the same number of carbon atoms the stoichiometric coefficient is more for alkane than the alkene and more for alkene than the alkyne.