solve this problem in detail

Q$.2$ A Biomass Gasifier is designed for conversion of $100k\frac{g}{h}$ of dry biomass. It is working with Air

as a gasifying medium and generates $250m^3$ of Producer Gas $($PG$)$ per hour. The gas analysis of

the PG gives following gas composition:

$H_2-20\%$

$CO-20\%$

$C{O}_2-12\%$

$C{H}_4-2\%$

$N_2-$ Rest $(46\%)$

i$.$ How many kgs of PG will be produced per hour?

ii$.$ How many grams of $H_2$ will be produced per $kg$ of biomass?

iii. What is the $H_2$ conversion efficiency?

iv$.$ What is the Energy conversion efficiency of the gasifier?

Given data:

$H2$ in biomass $6\%($by mass$).$

Calorific value for:

$H2=10\mathrm{.}8M\frac{J}{m}3$

$CO=12\mathrm{.}6M\frac{J}{m}3$

$CH4=35\mathrm{.}8M\frac{J}{m}3$

Biomass $=17M\frac{J}{k}g$