Determine enthalpy change for,
`C_(3)H_(8(g))+H_(2(g))rarr C_(2)H_(6(g))+CH_(4(g))`
at `25^(@)C` using heat of combustion values under standard condition.
`{:(Compounds,H_(2(g)),CH_(4(g)),C_(2)H_(6(g)),C_((Graph ite))),(DeltaH^(@)i n kJ//mol,-285.8,-890.0,-1560.0,-393.5):}`
The standard heat of formation of `C_(3)H_(8(g))` is `-103.8 kJ mol^(-1)`.

Explanation

To determine the enthalpy change for the reaction

\[ C_3H_8(g) + H_2(g) \rightarrow C_2H_6(g) + CH_4(g) \]

at \( 25^\circ C \), we will use the heat of combustion values provided and the standard heat of formation of \( C_3H_8 \).

### Step-by-Step Solution:

...