$[4]$Using air$1\mathrm{.}5$times the ideal combustion of the gaseous methane, we are going to boil$10$noodles

$(1)$Calculate the energy required to heat$10$kg of water from$20$C to$100$C$.($Pay attention to the units.$)$

$(2)$Write the combustion equation for methane.

$(3)$Determine the heat released when$1$kmol of methane is burned under standard inlet and outlet conditions.

$(4)$If$50\%$of the heat from burning methane is used to boil water, find the mass$($g$)$of methane required to boil$10$noodles$.$