Final answer:
To find the mass of lithium hydroxide required to react with 1.00 x 10^3 grams of carbon dioxide, we can use the balanced chemical equation and stoichiometry calculations. The mass of lithium hydroxide required is 47.90 grams.
Step-by-step explanation:
To find the mass of lithium hydroxide required to react with 1.00 x 10^3 grams of carbon dioxide, we need to first determine the balanced chemical equation for the reaction:
CO2 + 2LiOH → Li2CO3 + H2O
From the equation, we can see that 2 moles of LiOH react with 1 mole of CO2. To find the number of moles of CO2 in 1.00 x 10^3 grams, we divide the mass of CO2 by its molar mass:
Molar mass of CO2 = 12.01 g/mol (C) + 2(16.00 g/mol) = 44.01 g/mol
Moles of CO2 = 1.00 x 10^3 g / 44.01 g/mol = 22.72 mol
Since the stoichiometric ratio is 1:2 for CO2 and LiOH, we can calculate the mass of LiOH required:
Mass of LiOH = 2 moles of LiOH x molar mass of LiOH = 2(23.95 g/mol) = 47.90 g