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GATE 2024 ES – Question 59

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

A stack emits100 g/s CO at effective height H. Wind speed is 5 m/s. At3 km downwind,σy=50 m andσz=25 m. Find plume-centerline concentration in mg/m³,to two decimals. Use π=3.14,ignore reactions and ground reflection.

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Correct answer: 2.50 to 2.60

Explanation

At the plume centerline y=0,z=H, both Gaussian exponential factors are1. Without the reflected ground image,$C=Q/(2\pi u\sigma_y\sigma_z)$. Use Q=100000 mg/s: $C=100000/[2(3.14)(5)(50)(25)]=2.547771$ mg/m³. Answer **2.55 mg/m³**. Ground-centerline formulas with a factor1/π would not match the requested unreflected plume centerline.

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