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One$-$quarter lbmol of oxygen gas $(O_2)$ undergoes a process from $p_1=20l\frac{b}{i}{n}^2,T_1=500R$ to $p_2=150l\frac{b_f}{i}{n}^2.$ For the process $W=-500$ Btu and $Q=-177\mathrm{.}5$ Btu. Assume the oxygen behaves as an ideal gas.

Determine $T_2,$ in $R,$ and the change in entropy, in Btu$/R.$

Step $1$

Determine $T_2,$ in $R.$

$T_2=R$

Hint