Butane with a gas flow rate is $0\mathrm{.}50\frac{m^3}{s}$ and $25\%$ excess air is required for complete combustion. Combustion air is supplied to the furnace at $25C$ and $1$atm pressure. Find the volume flow rate of the flue gas in $\frac{m^3}{s}.$

$($A$)20\mathrm{.}59\frac{m^3}{s}$

C$.29\mathrm{.}52\frac{m^3}{s}$

B$.52\mathrm{.}09\frac{m^3}{s}$

D$.59\mathrm{.}20\frac{m^3}{s}$