GATE 2020 CH – Question 31

Process Calculations · Steady and unsteady state mass and energy balances · 1 mark · Numerical answer

The irreversible gas reaction 2P → 4Q + R occurs in an isothermal isobaric batch reactor with ideal gases. Feed is equimolar P and an inert. Find the fractional volume change after complete P conversion, to two decimal places.

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Correct answer: 0.74 to 0.76

Explanation

Choose initial amounts of 1 mole P and 1 mole inert, total 2. Complete conversion of 1 mole P produces 2 moles Q and 0.5 mole R. Including the unchanged inert gives final total 3.5 moles. At fixed T and P, ideal-gas volume is proportional to total moles, so $(V_f-V_i)/V_i=(3.5-2)/2=0.75$.

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