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GATE 2025 MN – Question 62

Surface Environment, Mine Ventilation and Underground Hazards · Surface Environment · 2 marks · Numerical answer

A10×10 km airshed emits20 kg SO₂/s. Wind speed is4 m/s and mixing height1200 m. Incoming concentration is zero and SO₂ is conservative. Find steady concentration in μg/m³ to two decimals.

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Correct answer: 410.00 to 420.00

Explanation

The well-mixed box balance equates emissions to downwind advective removal. Wind-normal area is10000×1200 m²,so air flow is4×10000×1200=48 million m³/s. Concentration=20/(48 million)=4.16667×10⁻⁷ kg/m³. Converting with10⁹ μg/kg gives416.67 μg/m³.

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