What is the theoretical yield of #Li_3N# in grams when 12.5 g of Li ls heated with 34.1 g of #N_2#?

Answer 1

The theoretical yield of #"Li"_3"N"# is #"20.9 g"#.

Equilibrium Formula

#"6Li(s)" + "N"_2("g")##rarr##"2Li"_3"N(s)"#

The greatest amount of product that can be produced will be determined by identifying the limiting reactant, or reagent, before we can calculate the theoretical yield.

Molar Masses #"Li":##"6.941 g/mol"# #"N"_2":##(2xx14.007"g/mol")="28.014 g/mol"# #"Li"_3"N":##(3xx6.941 "g/mol Li") + (1xx14.007"g/mol N")="34.83 g/mol Li"_3"N"#
Limiting Reactant Divide the mass of each reactant by its molar mass, then multiply times the mole ratio from the balanced equation with the product on top and the reactant on bottom, then multiply times the molar mass of #"Li"_3"N"#.
Lithium #12.5"g Li"xx(1"mol Li")/(6.941"g Li")xx(2"mol Li"_3"N")/(6"mol Li")xx(34.83"g Li"_3"N")/(1"mol Li"_3"N")="20.9 g Li"_3"N"#
Nitrogen Gas #34.1"g N"_2xx(1"mol N"_2)/(28.014"g N"_2)xx(2"mol Li"_3"N")/(1"mol N"_2)xx(34.83"g Li"_3"N")/(1"mol Li"_3"N")="84.8 g Li"_3"N"#
Lithium produces less lithium nitride than nitrogen gas. Therefore, the limiting reactant is lithium, and the theoretical yield of lithium nitride is #"20.9 g"#.
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Answer 2

The theoretical yield of Li3N in grams can be calculated using stoichiometry. First, determine the limiting reactant by converting the masses of Li and N2 to moles. Then, use the balanced chemical equation for the reaction between Li and N2 to find the stoichiometric ratio between Li and Li3N. Finally, use this ratio to calculate the theoretical yield of Li3N in grams.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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