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let's do a rough estimate of the coal required for such a task.

Cremation process and energy requirements

Cremation is a process that involves burning a body at high temperatures (typically between 1400°C to 1800°C) to reduce it to its basic elements. The energy required for cremation comes from fuel, which can be coal, natural gas, propane, or electricity.

A typical cremation process requires around 28-40 kilograms (62-88 pounds) of fuel to cremate one body. This can vary depending on factors like the size of the body, the type of fuel used, and the efficiency of the cremation equipment.

For the sake of this calculation, let's assume an average fuel requirement of 35 kilograms (77 pounds) per body.

Coal energy density and conversion

Coal is a fossil fuel that contains energy in the form of carbon. The energy density of coal varies depending on its type, but a rough estimate is around 24-30 megajoules per kilogram (MJ/kg).

To convert this energy density to a more meaningful value, let's assume an average energy density of 27 MJ/kg for our calculation.

Calculating the coal required

Now, let's calculate the total amount of coal required to cremate 3 million bodies:

Total energy required: 3,000,000 bodies * 35 kg/body = 105,000,000 kg of fuel
Convert fuel weight to energy: 105,000,000 kg * 27 MJ/kg = 2,835,000,000 MJ
Convert energy to coal weight: Assuming an energy density of 27 MJ/kg, we can convert the total energy required to coal weight: 2,835,000,000 MJ ÷ 27 MJ/kg = approximately 105,000,000 kg of coal
Rounding up and considering inefficiencies
To account for inefficiencies in the cremation process and variations in coal quality, let's round up the estimate to ensure we have enough coal:

105,000,000 kg × 1.5 (inefficiency factor) = approximately 157,500,000 kg of coal

Converting to a more meaningful volume

To put this number into perspective, let's convert the weight of coal to a volume. The density of coal varies, but a rough estimate is around 0.8-1.2 tons per cubic meter (t/m³). Let's assume an average density of 1 ton/m³.

157,500,000 kg ÷ 1,000 kg/t = 157,500 tons
157,500 tons ÷ 1 t/m³ = approximately 157,500 cubic meters of coal
 
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