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GATE 2023 CH – Question 50

Process Calculations · Steady and unsteady state mass and energy balances · 2 marks · Numerical answer

Orsat analysis showing the composition (in mol %, on a dry basis) of a stack gas is given in the table below. The humidity measurement reveals that the mole fraction of H$_2$O in the stack gas is 0.07. The mole fraction of N$_2$ calculated on a wet basis is ________ (rounded off to two decimal places).

SpeciesN$_2$CO$_2$COO$_2$
mol %65151010

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Correct answer: 0.59 to 0.61

Explanation

The wet gas contains 7% water and 93% dry gas. The dry gas is 65% nitrogen, so on the wet basis $y_{N_2} = 0.65 \times 0.93 = 0.6045 \approx 0.60$.