An adiabatic vortex tube, shown in the figure given below is supplied with $\text{5 kg/s}$ of air (inlet $1$) at $\text{500 kPa}$ and $\text{300 K}$. Two separate streams of air are leaving the device from outlets $2$ and $3$. Hot air leaves the device at a rate of $\text{3 kg/s}$ from outlet $2$ at $\text{100 kPa}$ and $\text{340 K}$. and $\text{2 kg/s}$ of cold air stream is leaving the device from outlet $3$ at $\text{100 kPa}$ and $\text{240 K}$.
Assume constant specific heat of air is $\text{1005 J/kg.K}$ and gas constant is $\text{287 J/kg.K}$. There is no work transfer across the boundary of this device. The rate of entropy generation is _______ $\text{kW/K}\:(\textit{round off to one decimal place}$).