Question

How many grams of soda ash would be needed to produce 1.00 kg of sodium bicarbonate?

Answer 1

Answer:

736.1 g of soda ash

Explanation:

Data given:

Amount of sodium bicarbonate = 1 Kg

convert Kg to g

1 Kg = 1000 g

Amount of soda ash needed = ?

Solution:

First we look for the reaction by which soda ash gives sodium bicarbonate.

Chemical formulas

c NaHCO₃

Soda Ash = Na₂CO₃

So the reaction is given below:

                    Na₂CO₃ + H₂O + CO₂ ------------> 2 NaHCO₃

So,

now look for the amount of soda ash and NaHCO₃

                   Na₂CO₃ + H₂O + CO₂ ------------> 2 NaHCO₃

                     1 mole                                           2 mole

As,

one mole of Na₂CO₃ (soda ash) gives 2 moles of sodium bicarbonate (NaHCO₃).

Now convert moles to mass

For which molar masses are given below

Molar mass of Na₂CO₃ = 106 g/mol

Molar mass of NaHCO₃ = 72 g/mol

So,

         Na₂CO₃      +       H₂O     +     CO₂      ------------>    2 NaHCO₃

   1 mole (106 g/mol)                                                    2 mole (72 g/mol)

          106 g                                                                            144 g

Apply unity formula

            106 g of Na₂CO₃ ≅ 144 grams NaHCO₃

                X g of Na₂CO₃ ≅ 1000 grams NaHCO₃

Do cross multiplication

              X g of Na₂CO₃ = 106 g x 1000 g / 144 g

               X g of Na₂CO₃ = 736.1 g

So, 736.1 g of soda ash needed to produce 1000 g or 1 kg of sodium bicarbonate.