Compute the standard free enegry of the reaction at `27^(@)C` for the combustion fo methane using the give data:
`CH_(4)(g) +2O_(2)(g) rarr CO_(2)(g) +2H_(2)O(l)`
`{:(Species,CH_(4),O_(2),CO_(2),2H_(2)O(l)),(Delta_(f)H^(Theta)(kJmol^(-1)),-74.8,-,-393.5,-285.8),(S^(Theta)(JK^(-1)mol^(-1)),186,205,214,70):}`

Explanation

To compute the standard free energy change (ΔG°) for the combustion of methane at 27°C, we will follow these steps:

### Step 1: Write the Reaction
The combustion of methane can be represented as:
\[ \text{CH}_4(g) + 2\text{O}_2(g) \rightarrow \text{CO}_2(g) + 2\text{H}_2\text{O}(l) \]

### Step 2: Calculate ΔH° (Enthalpy Change)
Using the standard enthalpy of formation (ΔH°_f) values provided:
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