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how much caf2 would form if 4.0 grams of ca reacts with 3.8 grams of f2…

Question

how much caf2 would form if 4.0 grams of ca reacts with 3.8 grams of f2?

reactionreactant(s)product(s)
mass4.0 g3.8 g?

Explanation:

Step1: Write the balanced chemical equation

$Ca + F_2=CaF_2$

Step2: Calculate the molar masses

The molar mass of $Ca$ is $M_{Ca}=40.08\ g/mol$, the molar mass of $F_2$ is $M_{F_2}=2\times19.00 = 38.00\ g/mol$, and the molar mass of $CaF_2$ is $M_{CaF_2}=40.08 + 2\times19.00=78.08\ g/mol$.

Step3: Calculate the number of moles of reactants

The number of moles of $Ca$, $n_{Ca}=\frac{m_{Ca}}{M_{Ca}}=\frac{4.0\ g}{40.08\ g/mol}\approx0.1\ mol$.
The number of moles of $F_2$, $n_{F_2}=\frac{m_{F_2}}{M_{F_2}}=\frac{3.8\ g}{38.00\ g/mol}=0.1\ mol$.

Step4: Determine the limiting reactant

From the balanced - equation, the mole ratio of $Ca$ to $F_2$ is $1:1$. Since the number of moles of $Ca$ and $F_2$ are equal, neither is in excess.

Step5: Calculate the mass of $CaF_2$ formed

According to the stoichiometry of the reaction, 1 mole of $Ca$ reacts with 1 mole of $F_2$ to form 1 mole of $CaF_2$. Since 0.1 mole of $Ca$ and 0.1 mole of $F_2$ react, the number of moles of $CaF_2$ formed is $n_{CaF_2}=0.1\ mol$.
The mass of $CaF_2$ formed, $m_{CaF_2}=n_{CaF_2}\times M_{CaF_2}=0.1\ mol\times78.08\ g/mol = 7.808\ g\approx7.8\ g$.

Answer:

$7.8\ g$