Calculate the mass of Carbondioxide when 2g of Sodium Bicarbonate reacts in a vinegar and baking soda reaction

Question

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Answer 1

You can actually do this without the equation if all of the carbonate goes to CO₂ and nothing else contributes to the CO₂ by just multiplying the mass of sodium bicarbonate reacted with the ratio of the molar mass of carbon dioxide over the mass of sodium bicarbonate.

2g SB * (44 g CO₂/ 84g NaHCO₃) = gCO₂

The way you usually learn in school is to write the reaction:

NaHCO₃ + HAc --> H₂O + CO₂ + NaAc

then do the usual 3-step stoichiometry calculation:

2g SB (1mole/84 g SB)(1CO₂/1SB)(44g/molle CO₂) = g CO₂ (same result.

Answer 2

Good Morning --> was trying to record a video but it was glitching for me.

The first step is to write the balanced equation out so we can see what we are looking at:

1. NaHCO₃ + CH₃COOH --> NaC₂H₃O₂ + H₂O + CO₂

If we look at the equation, it's already balanced. Since we are going from sodium bicarbonate (NaHCO₃) to CO₂ we can see that it's 1 mol to 1 mole (look at the coefficients; big number in front.

The next step is to set up a conversion equation to convert 2 g of NaHCO₃ to CO₂

1. We need to find the molar mass of sodium bicarbonate. Take each element's mass and add them all up. In this case, the molar mass is 84.007 g/mol

1. Next we need to convert the mol NaHCO₃ into mol of CO₂. We said earlier it was a 1 to 1 ratio based on the coefficients.
2. The last step is to find the molar mass of CO₂ which is the same process is to take each element and add them all up. The molar mass of CO₂ is 44.01 g/mol

2g NaHCO₃ x 1 mol / 84.007 g x 1 mol CO₂ / 1 mol NaHCO₃ x 44.01 g / 1 mol CO₂

Multiple everything on the top = 2 x 1 x 1 x 44.01g = 88.02 g

Multiple everything on the bottom = 84.007 x 1 x 1 = 84.007 g

Divide both top and bottom together = 88.02/84.007 = 1.05 g CO₂ --> final answer

I hope this helped!