The syngas produced from biomass gasification has a heating value of $15$ MJ$/$Nm$3$

$.$ If a

power plant requires $10,000$ MJ of energy, determine the amount of syngas needed and

the mass of dry biomass required to produce that amount of syngas.

Note: $1$ kg dry biomass produces ~$=2\mathrm{.}5$ Nm$3$

of syngas