A reducer in a piping system is shown. The internal volume of the reducer is $0\mathrm{.}2m^3,$ and its mass is $25$ kg $.$ Evaluate the total force that must be provided by the surrounding pipes to support the reducer.

$($Ans: $3\mathrm{.}40$ kN left, $1\mathrm{.}66$ kN up$)$

$P_1=58\mathrm{.}7$kPa $(gauge),P_2=150$kPa $(abs)$

$1$