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Problem $10\mathrm{.}019$E $-4-$step air$-$standard cycle with constant specific heats

An air$-$standard cycle with constant specific heats at room temperature is executed in a closed system and is composed of the following four processes: $1-2V=$ Constant heat addition from $14\mathrm{.}7$ psia and $80F$ in the amount of $300Bt\frac{u}{l}bm2-3P=$ Constant heat addition to $3000$ R $3-4$ Isentropic expansion to $14\mathrm{.}7$ psia $4-1P=$ Constant heat rejection to initial state

The properties of air at room temperature are $c_p=0\mathrm{.}240Bt\frac{u}{l}bm*R,c_v=0\mathrm{.}171Bt\frac{u}{l}bm*R,$ and $k=1\mathrm{.}4.$

Problem $10\mathrm{.}019$E$.$b $-$ Total heat in for constant heat capacity air$-$standard cycle

Calculate the total heat input per unit mass.

The total heat input per unit mass is Btu$/$lbm$.$