MCQ
$\Delta U^o$ of combustion of $CH_{4(g)}$ at certain temperature is $-393\,kJ/mol$ . Then value of $\Delta H^o$ is
  • A
    Zero
  • $<\, \Delta U^o$
  • C
    $>\Delta U^o$
  • D
    equal to $\Delta U^o$

Answer

Correct option: B.
$<\, \Delta U^o$
b
The balanced equation for combustion of methane is:

$CH _{4( g )}+2 O _{2( g )} \rightarrow CO _{2( g )}+2 H _2 O _{( l )}$

Here, $\Delta n _{ g }=1-3=-2$

$\Delta H ^0=\Delta U ^0+\Delta n _{ g } RT$

$\Delta H ^0=-393-2 RT$

$\therefore \Delta H ^0\,<\,\Delta U ^0$

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