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A biomass gasifier converts

500 \mathrm{~kg}

of biomass into producer gas. Th...

Jun 15, 2024

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Solution by Steps

step 1

Calculate the total energy content of the biomass using its heating value:

500 \, \text{kg} \times 17500 \, \text{kJ/kg} = 8750000 \, \text{kJ}

step 2

Calculate the total energy content of the producer gas using its heating value:

2200 \, \text{m}^3 \times 8500 \, \text{kJ/m}^3 = 18700000 \, \text{kJ}

step 3

Calculate the mass of the producer gas using its density:

2200 \, \text{m}^3 \times 1.29 \, \text{kg/m}^3 = 2838 \, \text{kg}

step 4

Integrate the energy content of the producer gas over the given volume:

\int_0^{18700000} 2838 \, dx = 2838 \times 18700000 = 53070600000 \, \text{kJ}

step 5

Calculate the efficiency of the thermal gasification process:

\frac{53070600000 \, \text{kJ}}{8750000 \, \text{kJ}} = 6.065

Answer

The efficiency of the thermal gasification process is approximately 6.065.

Key Concept

Thermal Gasification Efficiency

Explanation

The efficiency is calculated by comparing the energy content of the producer gas to the energy content of the biomass.