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Calculate the standard enthalpy change f...

Calculate the standard enthalpy change for the reaction `CH_4(g) +2O_2(g) rarr CO_2(g)+2H_2O(l)` Given that the standard enthalpies of formation of `CH_4(g),CO_2(g),` and `H_2O(l)` are -74.8 kJ mol^-1, -393.5 kJ mol^-1` and -285.8 kJ `mol^-1` respectively.

Text Solution

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The combustion methane is represented as :
`CH _(4) (g) + 2 O _(2) (g) to CO _(2) (g) + 2 H _(2) O (l) , Delta H = ?`
`Delta H ^(@) = Delta H _(r) ^(@) (CO_(2)) + 2 Delta H _(f) ^(@) ( H _(2) O) - Delta H _(f) ^(@) ( CH _(4)) - 0`
`= ( - 393 . 5 kJ mol ^(-1)) + 2 ( - 285.9 kJ mol ^(-1)) - (-74 . 8 kJ mol ^(-1)) = - 890.5 kJ mol ^(-1)`
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