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GATE 2026 ES – Question 63

Environmental Management and Sustainable Development · Environmental Management Systems · 2 marks · Numerical answer

Chemical A has ambient concentration 50 µg/m³ and a threshold-effect dose of 5 mg. Assuming an average breathing rate of 4 L/min and uptake of the inhaled chemical, find the minimum exposure time in days, to one decimal place.

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Correct answer: 17.0 to 18.0

Explanation

Convert breathing rate to $.004$ m³/min. Inhaled chemical rate is $50(.004)=.2$ µg/min, or $.0002$ mg/min. Reaching 5 mg takes $5/.0002=25000$ min. Divide by $60(24)=1440$ min/day to obtain $17.3611$ days, rounded **17.4 days**. This is the cumulative-dose model specified by the examination data.

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