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GATE 2021 ES – Question 53

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

At NTP298 K,1 atm, air contains .30 ppmv NO₂. One mole ideal gas occupies24.45 L;NO₂ molar mass46 g/mol. Find NO₂ concentration in µg/m³,rounded to an integer.

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Correct answer: 562 to 566

Explanation

The conversion at this molar volume is $C_{\mu g/m^3}=C_{ppmv}M(1000)/24.45$. Hence .30(46)(1000)/24.45=564.417 µg/m³,or **564 µg/m³**. The factor1000 accounts for litres per cubic metre after the ppm-to-microgram conversion.

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