Prob. $5,$ A fluid in a closed system expands slowly such that the pressure $p$ varies linearly with the volume $V,$ and the internal energy $U$ varies with the $pV$ product according to the relation

$U=32+0\mathrm{.}004pV$

where $U$ is in Btu,$p$ is in $l\frac{b_f}{f}{t}^2($absolute pressure$),$ and $V$ is in $f{t}^3.$ When the fluid changes from an initial state of $25$psia,$1f{t}^3,$ to a final state of $60p$ sia, $2f^3,$ what are the work and the heat transfer, in joule? $(20\%)$