In a gobar gas plant, gobar gas is formed by bacterial fermentation of animal refuse. It mainly contains methane and its heat of combustion is `-809kJ mol^(-1)` according to following equation:
`CH_(4) +2O_(2) rarr CO_(2)+2H_(2)O , DeltaH =- 809 kJ`
How much gobar gas would have to be produced per day for a small village of `50` families, it it is assumed that each family requires `20000 kJ` of energy per day? The methane content in gobar gas is `80%` by mass.

Explanation

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the total energy requirement for the village
Each family requires 20,000 kJ of energy per day, and there are 50 families.

\[ \text{Total energy required} = \text{Energy per family} \times \text{Number of families} \]
...