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Sagot :
Answer:
[tex]969\text{kJ/mol}[/tex]Explanations:
Given the reaction between methane and oxygen expressed as:
[tex]CH_4+2O_2\rightarrow CO_2+2H_2O[/tex]The given energy of the bonds from the given table are:
C—H = 413 kJ/mol
O₂ = O—O = 498kJ/mol
H₂O = O—H = 467kJ/mol
CO₂ = C=O = 745 kJ/mol
The dissociation energy is expressed according to the formula;
[tex]Q=E_f-E_b[/tex]where:
Ef is the energy of bonds are formed during the reaction, kJ/mol;
Eb is the energy of bonds are broken during the reaction, kJ/mol
[tex]\begin{gathered} Q=\lbrack(4C-H)+2O-O\rbrack-\lbrack2(O-H)+C=O\rbrack \\ Q=\lbrack4(413)+2(498)\rbrack-\lbrack2(467)+745\rbrack \\ Q=(1652+996)-(934+745) \\ Q=2648-1679 \\ Q=969\text{kJ/mol} \end{gathered}[/tex]
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