Calculate the diameter of a spring-type vapor relief for the following conditions. Assume for each case a heat capacity ratio \(\gamma=1.3\) and a compressibility \(z=1.0\).

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Set pressure a. 100 psig b. 150 psig c. 200 psig d. 8 barg e. 10 barg f. 20 barg Temperature 100F 200F 100F 300 K 400 K 400 K Molecular weight 28 44 28 44 28 28 Mass flow 50 lb/hr 100 lb/hr 150 lb/hr 10 kg/s 20 kg/s 30 kg/s Overpressure 10 psig 30 psig 10 psig 1 barg 2 barg 2 barg Backpressure 10 psig 15 psig 20 psig 1 barg 2 barg 1 barg