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Process Calculations
Laws of Thermodynamics
GATE 2011
Medium

Two systems are available for compressing 6 m³/hr of ambient air to 10 bar. The first uses a single stage compressor (K1) and the second uses a multistage compressor with inter-stage cooling (K2). Which ONE of the following statements is INCORRECT?

  • AK2 will have knockout pots in between the stages
  • BDischarge temperature of K1 will be higher than that of K2
  • K2 will consume more power than K1
  • DCost of K2 will be more than that of K1

Explanation

Multistage compression with intercooling makes the overall compression path closer to isothermal, REDUCING total compression work compared to a single adiabatic stage — so K2 consumes LESS power than K1, not more. This makes statement C the incorrect one; the other three are all true (knockout pots remove condensed moisture after cooling, K1's single-stage adiabatic compression gives a higher discharge temperature, and K2's added equipment increases cost).

Source: GATE CH 2011 (2011)

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