Installation of pump is to be decided for the pump which will handle hot water at a temperature of $176\mathrm{.}7C$ and a suction pressure of $1\mathrm{.}034$MPa. g$.$ Capacity of pump will be $10\frac{m^3}{h}.$ It is planned to use a centrifugal pump with single suction for this application. Speed of impeller will be $2900$ rpm$.$ Find the minimum distance that must be kept between free surface of liquid at source and centerline of the horizontal centrifugal pump. Consider head loss due to friction to be $1m$ and NPSH required to be $6\mathrm{.}7m.$