When a system is taken from state $i$ to state $f$ along path iaf in the figure, $Q=50\mathrm{.}5$ cal and $W=21\mathrm{.}4$ cal. Along path ibf, $Q=36\mathrm{.}7$cal. $($a$)$ What is $W$ along path ibf? $($b$)$ If $W=-14\mathrm{.}4$ cal for the return path $f,$ what is $Q$ for this path? $(c)$ If $E_{\text{i}\text{n}\text{t},i}=11\mathrm{.}3$ cal, what is $E_{\text{i}\text{n}\text{t},f}?$ If $E_{\text{i}\text{n}\text{t},b}=22\mathrm{.}8$ cal, what is Q for $($d$)$ path ib and $($e$)$ path bf$?$

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