Question

In an experiment, 14 g of sodium bicarbonate was allowed to react with 10 g of acetic acid. After the reaction is completed, it was found that only 16.67 g of the solution was left because a gas escaped from the container. What was the mass of the gas that escaped into the atmosphere? Name the law applied.

Answer 1

14 + 10 = 16.67 + x

or 24 -16.67 = x

or x = 7.33

based law of conservation of mass

Answer 2

The mass of carbon dioxide escaped is 7.33 grams and the law applied is Law of conservation of mass.

Explanation:

Law of conservation of mass states that mass can neither be created nor be destroyed but it can only be transformed from one form to another form.

This also means that total mass on the reactant side must be equal to the total mass on the product side.

The balanced chemical equation for the reaction of sodium bicarbonate and acetic acid follows:  

$NaHCO_3(s)+CH_3COOH(l)\rightarrow 2CH_3COONa(aq.)+H_2O(l)+CO_2(g)$

Let the mass of carbon dioxide gas be 'x' grams

Mass of sodium bicarbonate = 14 g

Mass of acetic acid = 10 g

Mass of solution on the product side = 16.67 g

Total mass on the reactant side = [14 + 10] = 24 g

Total mass on the product side = [16.67 + x]

Applying law of conservation of mass:

$24=16.67+x\\\\x=7.33g$

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