Determine the relief diameter for the following two-phase flow conditions. Assume in all cases that \(L / D=0.0\).

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Reaction mass Volume Set pressure Set temperature (dT/dt)s Maximum pressure Maximum temperature (dT/dt)m Liquid-specific volume Vapor-specific volume Heat capacity Heat of vaporization a 10,000 lbm 200 ft 100 psia 500F 0.5F/s 120 psia 520F 0.66F/s 0.02 1.4 1.1 Btu/lbF 130 Btu/lbm b 10,000 lbm 500 ft 100 psia 500F 0.5F/s 120 psia 520F 0.66F/S 0.2 1.4 1.1 Btu/lb F 130 Btu/lbm 4000 kg 15 m 7 bara 500 K 2.0 K/s 8 bara 540 K 2.4 K/s 0.02 1.4 5.0 kJ/kg K 300 kJ/kg d 4000 kg 500 m 7 bara 500 K 2.0 K/s 9 bara 540 K 2.6 K/s 0.02 1.4 5.0 kJ/kg K 130 kJ/kg