PART B:

$(8$ points$)$

Two reversible power cycles arranged in series each produce the same network, Wcycle as shown in the Figure below. The first cycle receives energy $Q{H}_H$ by heat transfer from a hot reservoir at $282C$ and rejects energy Q by heat transfer to a reservoir at an intermediate temperature, T$.$ The second cycle receives energy $Q$ by heat transfer from the reservoir at temperature $T$ and rejects energy $Q_c$ by heat transfer to a reservoir at $51C.$ All energy transfers are positive in the directions of the arrows. Determine:

$($i$)$ The intermediate temperature T $($in K $),$

$($ii$)$ The thermal efficiency for each of the two power cycles,

$(2$ points$)$

$($iii$)$The maximum therm for $(2$ points$)$

ver cycle operating between hot and cold reservoirs at $282C$ and $51C,$ respectively, $(2$ points$)$

$($iv$)$ The network developed by the single cycle, expressed in terms of the network developed by each of the two cycles, $W_{\text{c}\text{y}\text{c}\text{l}\text{e}}.$

$(2p^{in+m}$