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Q. A mixture of $2$ mole of $CO$ and $1 mol$ of $O _{2}$ is ignited. Correct relationship is

Thermodynamics

Solution:

$2 CO ( g )+ O _{2}( g ) \longrightarrow 2 CO _{2}( g )$
$\Delta n _{9}=2-3=-1$
We know,
$\Delta H=\Delta U+\Delta n_{g} R T $
$\Delta H=\Delta U-1 \times R T$
$\Rightarrow \Delta H=\Delta U-R T $
$\Rightarrow \Delta H < \Delta U$
$[8 = 10 - 2 \Rightarrow 8 < 10]$