Chapter 4, Problem 4.96P

An insulated spring-loaded piston/cylinder device, shown in Fig. P4.96, is connected to an air line flowing air at 600 kPa and 700 K by a valve. Initially, the cylinder is empty and the spring force is zero. The valve is then opened until the cylinder pressure reaches 300 kPa. Noting that $u_2=u_{\text{line}}+C_v\left(T_2-T_{\text{line}}\right)$ and $h_{\text{line}}-u_{\text{line}}=R{T}_{\text{line}}$ find an expression for T, as a function of P,, P0, and T. With $P_0=\text{ l00 kPa}$ , find $T_2$ .