The balanced chemical equation for the reaction can be written as:
CaSiO_3 + 6HF -> SiF_4 + 3H_2O + CaF_2
The molar masses of the species of interest are:
CaSiO3 = 116.16 g/mol
SiF4 = 104.08 g/mol
H2O = 18 g/mol
Using the given data, moles of CaSiO3 = 32.6 g/ 116.16 g/mol = 0.281 moles
Similarly, moles of HF = PV/RT (using the gas law)
= (1 atm x 30.1 l)/(0.0821 l atm/mol/K x (27 + 273) K) = 1.22 moles
Using stoichiometry, 1 moles of CaSiO3 reacts with 6 moles of HF.
i.e., 0.281 moles of CaSiO3 will react with 6 x 0.281 moles = 1.686 moles of HF.
Since the available amount of HF is less than 1.686 moles, HF is the limiting reactant.
Again using stoichiometry, 6 moles of HF produces 1 moles of SiF4.
Hence, the moles of SiF4 produced = 1/6 x 1.22 moles = 0.203 moles
and the amount of SiF4 produced = 0.203 moles x 104.08 g/moles = 21.13 g.
Similarly, the amount of water produced = 3/6 x 1.22 moles x 18 g/mol = 10.98 g.
Hope this helps.
Wednesday, October 28, 2015
Suppose a 32.6 g sample of CaSiO3 is reacted with 30.1 L of HF at 27.0 °C and 1.00 atm. Assuming the reaction goes to completion, calculate the mass (in grams) of the SiF4 and H2O produced in the reaction.
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