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From the given balanced chemical equation,
CO2 + 2LiOH --> Li2CO3 + H2O
we can conclude that for every 2 moles of LiOH, we need a mole of CO2. Calculate first the number of moles of CO2 by dividing the given mass by the molar mass giving us an answer of 0.58 moles. Using proportionality,
0.58 / x = 1 / 2
The value of x is equal to 1.16 moles.