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Agas undergoes a process in a piston$-$cylinder assembly during which the pressure$-$specific volume relation is pv ${?}^{1\mathrm{.}2}=$ constant. The

mass of the gas is $0\mathrm{.}4$ lb and the following data are known: $p_1=160lb\frac{f}{i}n.{?}^2,v_1=1f{t}^3,$ and $p_2=300lb\frac{f}{i}n.{?}^2$ During the process, heat

transfer from the gas is $2\mathrm{.}1$ Btu $.$ Kinetic and potential energy effects are negligible. Determine the change in specific internal energy of

the gas, in Btu$/$lb$.$

$u=$

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