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GATE 2022 ES – Question 64

Air and Noise Pollution · Air Quality Management · 2 marks · Numerical answer

A ground source emits1000 g/day SO₂. Temperature is 25°C at 10 m and 24.5°C at 110 m;wind2 m/s. At1 km,σy/σz (m) are50.5/21.4 stable,80/41.5 neutral,156/110.2 unstable. Find ground centreline concentration in µg/m³,to two decimals.

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Correct answer: 1.68 to 1.72

Explanation

Observed lapse rate=.5°C/100 m, less than the dry adiabatic≈.98°C/100 m, so use stable coefficients. Emission=1000×10⁶/86400=11574.074 µg/s. Ground source with reflection gives $C=Q/(\pi u\sigma_y\sigma_z)=11574.074/[\pi(2)(50.5)(21.4)]=\mathbf{1.70}$ µg/m³.

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