A Venturi meter is a device for measuring the speed of a fluid within a pipe. The drawing shows a gas flowing at speed v$2$v$\_2$v$2$ through a horizontal section of pipe whose cross$-$sectional area is A$2=0\mathrm{.}0849$m$2$A$\_2=0\mathrm{.}0849\backslash ,\backslash$text$\{$m$\}^2$A$2=0\mathrm{.}0849$m$2.$ The gas has a density of $=1\mathrm{.}30$kg$/$m$3\backslash$rho $=1\mathrm{.}30\backslash ,\backslash$text$\{$kg$/$m$\}^3$$=1\mathrm{.}30$kg$/$m$3.$ The Venturi meter has a cross$-$sectional area of A$1=0\mathrm{.}0227$m$2$A$\_1=0\mathrm{.}0227\backslash ,\backslash$text$\{$m$\}^2$A$1=0\mathrm{.}0227$m$2$ and has been substituted for a section of the larger pipe. The pressure difference between the two sections is P$2$P$1=142$PaP$\_2-$ P$\_1=142\backslash ,\backslash$text$\{$Pa$\}$P$2$P$1=142$Pa$.$

Find: $($a$)$ the speed v$2$v$\_2$v$2$ of the gas in the larger original pipe, and

$($b$)$ the volume flow rate QQQ of the gas.