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Process Calculations
Laws of Thermodynamics
GATE 2016
Hard

A jacketed stirred tank mixes H2SO4(l) (4kg/h, 25°C) and H2O(l) (6kg/h, 10°C) at steady state. Cp,water=4.2, Cp,40%-H2SO4-solution=2.8 kJ/kg·K. Heat of mixing (ref 25°C) for 40% H2SO4=−650 kJ/(kg H2SO4). If the mixed stream leaves at 40°C, the rate of heat removal (kJ/h) is

  • 1802
  • B2558
  • C5702
  • D6458

Explanation

H_in=0(H2SO4 at ref)+6×4.2×(10−25)=−378 kJ/h. H_out=10×2.8×(40−25)+4×(−650)=420−2600=−2180 kJ/h. Q_removed=H_in−H_out=−378−(−2180)=1802 kJ/h.

Source: GATE CH 2016 (2016)

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