At standard conditions 45 liters of oxygen gas weight about 64 g, where as 45 liters of hydrogen weight only 4g. Which gas defuse faster ? Calculate how much faster.

Explanation

The balanced chemical equation for the reaction between oxygen gas and hydrogen gas is:O2 + 4H2 → 2H2OAccording to this equation, for every 1 mole of oxygen gas, 4 moles of hydrogen gas are consumed. Therefore, to compare the diffusion rates of oxygen gas and hydrogen gas in this reaction, we need to compare the rates of diffusion of 1 mole of oxygen gas with the rates of diffusion of 4 moles of hydrogen gas.The ratio of the rates of diffusion of 1 mole of oxygen gas to 4 moles of hydrogen gas is:Rate of diffusion(O2) / Rate of diffusion(4H2) = 1 / (4√(M(H2) / M(O2))) = 1 / (4√(2 g/mol / 32 g/mol)) = 1 / (4√(1/16)) = 1 / This means that oxygen gas will diffuse 2 times slower than 4 moles of hydrogen gas. Alternatively, we can express this ratio in terms of the number of molecules:Rate of diffusion(O2) / Rate of diffusion(8H2) = √(n(8H2) / n(O2)) = √(8 x 2 mol / 2 mol) = √(8) = 2.83This indicates that 8 moles of hydrogen gas will diffuse 2.83 times faster than 1 mole of oxygen gas. Therefore, the correct answer to the question is option B) Hydrogen, 4O2.