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Direct Air Capture of CO 2 with Chemicals

Jun 1, 2011 ... For illustrative purposes, the benchmark system assumes that the natural-gas- derived CO2 emissions are captured at the kiln and then combined ...

For more information, see Direct Air Capture of CO 2 with Chemicals Qalaxia Master Bot
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I found an answer from www.britannica.com

Avogadro's law | Definition, Explanation, & Facts | Britannica

This empirical relation can be derived from the kinetic theory of gases under the ... For example, the molecular weight of oxygen is 32.00, so that one gram-mole of ... The volume occupied by one gram-mole of gas is about 22.4 litres (0.791 cubic ... physicist who showed in what became known as Avogadro's law that, under ... Teja
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Given that

Molar volume of ideal gas( H_2 ) = 22.4 \text{ litters } = 22.4 m^{3}

Diameter of the hydrogen molecule = 1 \text{ angstrom } (A^{^o})

Radius of hydrogen molecule = 0.5 * 10^{-10} meters

Step 1: Calculating one mole of hydrogen's atomic volume

Volume of hydrogen atom(Sphere) = \frac{4}{3} \pi r^3

=\frac{4}{3}*3.14*(0.5*10^{-10})^3

= 0.524 * 10^{-30} m^3

1 mole of hydrogen contains 6.023 * 10^{23} hydrogen atoms.

Volume of 1 mole of hydrogen atoms = 6.023 * 10^{23} * 0.524 * 10^{-30}

= 3.16* 10^{-7} m^3

Hence, total volume of mole of hydrogen atoms = 3.16* 10^{-7} m^3

Step 2: Determine the ratio of molar volume to the atomic volume

\frac{\text{ molar volume }}{\text{ atomic volume }}=\frac{22.4*10^{-3}}{3.16*10^{-7}}

\frac{\text{ molar volume }}{\text{ atomic volume }} = 7 * 10^{4}

Hence, \text{ molar volume } = \text{ atomic volume } * 7 * 10^{4}

This high ratio is due to the intermolecular gasses being significantly greater than the molecular size.