How goes the redox reaction of burning methane?

Answer 1

#"Carbon undergoes a formal 8 electron oxidation.........."#

#C(-IV)rarrC(+IV)#

#"Oxidation:"#
#CH_4 + 2H_2O rarr CO_2 + 8H^(+) + 8e^(-)# #(i)#
#"Reduction:"#
#O_2 +4H^(+)+4e^(-) rarr 2H_2O# #(ii)#

In both instances, mass and charge have been conserved (and they must be in order to reflect reality).

And thus we cross multiply so that electrons do not appear in the final redox equation: #(i) + 2xx(ii):#
#CH_4 + cancel(2H_2O) +2O_2 +cancel(8H^(+)+8e^(-))rarr CO_2 + cancel(8H^(+) + 8e^(-))+cancel(4)2H_2O#

After cancelling, we get:

#CH_4 +2O_2 rarr CO_2 + 2H_2O#
Of course, this approach would be totally impractical to do for standard combustion reactions. Even for propane, #H_3C-CH_2-CH_3#, we have formal oxidation numbers of #C_"terminal"=-III# and #C_"central"=-II#. The sequence that is generally adopted is:
#"(i)"# #"Balance the carbons as carbon dioxide"#
#"(ii) Balance the hydrogens as water"#
#"(iii) Balance the oxygens as dioxygens"#
And thus for propane, #C_3H_8(g) + 5O_2(g) rarr 3CO_2(g) + 4H_2O(l)#
For even-numbered alkanes, we usually require half integral coefficients. Try it out for #"ethane"#.
And thus we can avoid the tedious mucking about with oxidation numbers. Can you repeat this for the complete combustion of hexanes, #C_6H_14#?

See here for another spray with regard to redox reactions in general.

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Answer 2

The redox reaction of burning methane is:

CH4 (g) + 2O2 (g) -> CO2 (g) + 2H2O (g)

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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