An integrated gasification combined cycle (IGCC) plant can convert coal and water to electricity and hydrogen. The carbon dioxide from such a process may be captured by a double-stage solvent such as Selexol. The main inputs to such a system are 5426 tons of coal and 21,787 m of water to produce 560 tons of hydrogen, 30.3 MW of electricity, 11,253 tons of pure carbon dioxide, and 1293 tons of carbon dioxide in flue gas. The cost of the hydrogen is $2110 per ton, of the electricity is $1800 per MW, of the pure CO₂ is $37 per ton, and of the flue gas is zero.

Allocate the water use among the products of this process by the following approaches and discuss the pros and cons of each approach for this allocation problem: 

1. Mass-based allocation 

2. Energy-based allocation. 

3. Monetary value-based allocation 

What additional information will be required to do allocation by displacement in this problem?