Biogas has a composition of $52\%gCH\frac{4}{g}$ biogas and $48\%$gCO$\frac{2}{g}$ biogas $($by mass$).$ The molecular weight of methane is $16\mathrm{.}0gCH\frac{4}{m}$olCH$4$ and the molecular weight of carbon dioxide is $44\mathrm{.}0$gCO$\frac{2}{m}$olCO$2.$ If $1\mathrm{.}0m^3$ of biogas is being held at a pressure of $1\mathrm{.}2$atm and a temperature of $293\mathrm{.}15$Kwhat is the mass concentration of methane in biogas in units of $\frac{g}{m^3}?$