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Vadim26 [7]
3 years ago
11

If 13.6 kilograms of al2o3 51.4 kilograms of naoh and 51.4 kilograms of hf react completely, how many kilograms of cryolite will

be produced
Chemistry
1 answer:
erastovalidia [21]3 years ago
4 0

The chemical reaction that occurs between Al_2O_3, NaOH and HF to form cryolite (molecular formula: Na_3AlF_6) is:

Al_2O_3+NaOH+HF\rightarrow Na_3AlF_6+H_2O

The balanced reaction is:

Al_2O_3+6NaOH+12HF\rightarrow 2Na_3AlF_6+9H_2O

In order to determine the weight of cryolite produced, the limiting reactant (the reactant that is completely used up in the reaction) should be identified first. To determine the limiting reactant, the number of moles of each reactant with respect to cryolite (2Na_3AlF_6) should be calculated.

The formula for determining the number of moles is:

number of mole = \frac{given mass}{molar mass}

1. For Al_2O_3:

According to the balanced equation, 1 mole of Al_2O_3 reacts to give 2 moles of Na_3AlF_6.

Molar mass of Al_2O_3 = 101.96 g/mol

So, \frac{13.6 \times 10^{3} g Al_2O_3}{101.96 g/mol}\times 2 moles of Na_3AlF_6

Number of moles = 2.668\times 10^{2} mole  Na_3AlF_6

2. For NaOH :

According to the balanced equation, 6 mole of NaOH reacts to give 2 moles of Na_3AlF_6.

Molar mass of NaOH = 39.997 g/mol

So, \frac{51.4 \times 10^{3} g NaOH}{39.997 g/mol}\times \frac{2 moles of Na_3AlF_6}{6 moles of NaOH}

The number of moles = 4.279\times 10^{2} mole  Na_3AlF_6

3. For HF :

According to the balanced equation, 12 moles of HF reacts to give 2 moles of Na_3AlF_6.

Molar mass of HF = 12.01 g/mol

So, \frac{51.4 \times 10^{3} g HF}{20.01 g/mol}\times \frac{2 moles of Na_3AlF_6}{12 moles of HF}

Number of moles = 4.282\times 10^{2} mole Na_3AlF_6.

Thus, Al_2O_3 is the limiting reactant.

Molar mass of Na_3AlF_6 = 209.94 g/mol

Amount of Na_3AlF_6 produced = 2.668\times 10^{2} mole\times 209.94 g/mol = 5.6012\times 10^{4} g

Since, 1 kg = 1000 g

5.6012\times 10^{4} g = 56.012 kg

Hence, the amount of cryolite produced is 56.012 kg.






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