Calculations related to synthetic ammonia
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Calculate the corresponding relationship between compressors and Roots blowers: For 20 compressors with a capacity of 75 m3/min, how many 194 m3/min Roots blowers are required? (Compressor inlet temperature: 35°C, pressure: 300 mmHg; Roots blower inlet temperature: 45°C, pressure: 500 mmH2O)
More than 12 units are required; it depends on how many spare units you keep
According to the ideal gas law PV=nRT, the air delivery volume for 20 compressors is given by n=PV/RT*20*22.4=(760+300)/760*75/8.314/(273+35)*448=18.3*10^5 Nm3/min. The air delivery volume per Roots blower is Q=(760+500)/760*194/8.314/318*22.4=2.7*10^5 Nm3/min. The number of Roots blowers required is n=18.3/2.7=7; this is the theoretical value, and the actual number needed will be higher than this.
8 units are needed; there was a calculation error on the 3rd floor