The mass of hydrogen reacted with nitrogen to give ammonia is 0.1 grams.
Mass of any substance will be calculated by using the moles as:
n = W/M, where
W = required mass
M = molar mass
Given chemical reaction is:
3H₂ + N₂ → 2NH₃
Moles of 0.575 g of NH₃ will be calculated as:
n = 0.575g / 17.03g/mol = 0.033 moles
From the stoichiometry of the reaction, it is clear that:
2 moles of NH₃ = produced by 3 moles of H₂
0.033 moles of NH₃ = produced by 3/2×0.033=0.0495 moles of H₂
Now we calculate the mass of hydrogen from the given moles and molar mass as:
W = (0.0495mol)(2.0158g/mol) = 0.09 grams = 0.10 grams
Hence, option (a) is correct i.e. 0.1 grams.
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