A natural gas flows through a venturi$-$meter with pipe and throat diameters of $30\mathrm{.}5$ cm and $15$ cm $.$ respectively. The initial pressure of the gas is $0\mathrm{.}93$ MPa gage and its temperature is $15\mathrm{.}6$ deg $.$ C$.$ The meter coefficient is $0\mathrm{.}98,$ and the gas specific heat ratio and constant are $k=1\mathrm{.}366$ and $R=0\mathrm{.}523k\frac{J}{k}g-$ K respectively, calculate the rate of flow for a throat pressure of $0\mathrm{.}69$ MPa absolute$.$