A standard vapour compression refrigeration system $($Refrigerant R$-134$a$)$ is extracting heat from a space maintained at $-10\backslash$deg C and rejects heat to the surrounding at $35\backslash$deg C$.$ Determine:

$($i$)$ Throttling Loss, $($ii$)$ HP$/$TR$,$ and $($iii$)$ Determine the change in the COP and HP$/$TR of the refrigeration system by the introduction of a liquid vapour heat exchanger of effectiveness $0\mathrm{.}4$ in the system.