GATE 2024 ES – Question 65

Environmental Chemistry · Fundamentals of Environmental Chemistry · 2 marks · Numerical answer

A bottle initially has 400 g ethanol. Half is used before a 90-day vacation. The bottle is left open and loses ethanol at .5 g/day. Find ethanol remaining, in integer grams.

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Correct answer: 155 to 155

Explanation

After stock-solution preparation, remaining ethanol is $400(1-.5)=200$ g. The constant stated evaporation loss over 90 days is $.5(90)=45$ g. Final ethanol is $200-45=\mathbf{155}$ g. This uses the supplied constant mass-loss rate rather than a percentage-decay model.

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