$1$K $1$ :

Calculate the heating value of domestic waste according to the given composition. For the calculation use the heating values given in the next table. How much energy in MWh can be produced when the incineration plant has an efficiency of $30\%?$ Given that $1kWh=3\mathrm{.}6MJ.$

$\backslash$table$[[$Waste component,Heating value $[$MJ$/$kg$]],[$Paper$,$ cardboard,$14\mathrm{.}8],[$Glass$,0\mathrm{.}2],[$Bio waste,$5\mathrm{.}6],[$Metal$,1\mathrm{.}6],[$Textile$,20\mathrm{.}1],[$Plastic$,25\mathrm{.}8]]$

$\backslash$table$[[$Wood$,14\mathrm{.}2],[$Others$,5\mathrm{.}7]]$

Task $2$:

Due to efficient collection methods $50\%$ of the bio waste, $75\%$ of paper as well as $80\%$ of the glass fraction had already been removed from the originally produced waste prior to the waste analysis. Calculate the effect that the recycling measures had on the heating value of the waste and the energy amount. $($Incineration plant's efficiency: $30\%).$

Task $3$:

If the $50\%$ biowaste separted above is sent to biogas production via anaerobic digestion. The biogas plant has the following characteristics:

$\backslash$table$[[$Substrate$,\%$ in biowaste,$\backslash$table$[[$Biogas yield$],[$ Fresh Mass