Thermodynamics

In order to get maximum calorific output,a burner should have an optimum fuel to oxygen ratio which corresponds to 3 times as much oxygen as is required theoretically for complete combustion of the fuel.A burner which has been adjusted for methane.As fuel(with x lit/hour of CH4 and 6x lit/hour of O2)is to be readjusted for butane.In order to get the same calorific output,what should be the ratio of supply of butane and oxygen ? Assume the losses due to incomplete combustion,etc. are the same for both the fuels and the gases behave ideally.
Heats of combustion : CH4=809 kJ/mol ; C4H10 = 2878 kJ/mol.

(IIT 1993)

12 Answers

49
Subhomoy Bakshi ·

wat is the meaning when u say...."Assume the masses due to incomplete Heats of combustion : CH4=809 kJ/mol ; C4H10 = 2878 kJ/mol."???[1]

49
Subhomoy Bakshi ·

and wat is calorific value ??
is it energy per mole fuel or eneggy per gram fuel or energy per litre??

11
Gone.. ·

sorry had missed out a sentence..[1]

11
Gone.. ·

i think calorific value is usually energy per gram fuel..

49
Subhomoy Bakshi ·

again i have another doubt..x lit of +6x lit of O2 is means molar ratio of 1:6 also....but to combust completely 1 mole only 2 moles of O2...this thing hurts mee.plzzz explain..[1]

49
Subhomoy Bakshi ·

koi toh verify karo....[2]

49
Subhomoy Bakshi ·

verify verify verify....jaldi..

1
Anirudh Kumar ·

@subhomoy that is what is said that we have to take 3 times of the stoichiometric values to get max . output.

is the ans.

:O2 = 2:39

i

49
Subhomoy Bakshi ·

so we hav to jst balance eqn??

2+13O2--->8CO2+10H2O

yes so 2 moles of with 13X3 moles of O2

so it is 2:39...[1][1]

49
Subhomoy Bakshi ·

thanx anirudh...[1][1]..for explaining the question...[1][1]

1357
Manish Shankar ·

CH4+2O2→products
C4H10+(13/2)O2→products

Let the volume of 1 mole of gas be V.
energy released by x lit of methane=809x/V

energy released by y lit of butane=2878y/V

as energy released is same we have
809x/V=2878y/V

y=809x/2878

amount of oxygen required, z=(13/2)*y*3=(13/2)*(809/2878)*3

11
Gone.. ·

yes thats correct bhaiya..

thanks everyone.

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