An insulated spring-loaded piston/cylinder device, shown in Fig. P4.153, 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 u₂ = u_line + C_v(T₂ − T_line) and h_line − u_line = RT_line, find an expression for T₂ as a function of P₂, P₀, and T_line. With P₀ = 100 kPa, find T₂.

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Air supply line wwww Po FIGURE P4.153