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solmaris [256]
3 years ago
13

Sodium hydrogen carbonate NaHCO3 , also known as sodium bicarbonate or "baking soda", can be used to relieve acid indigestion. A

cid indigestion is the burning sensation you get in your stomach when it contains too much hydrochloric acid HCl , which the stomach secretes to help digest food. Drinking a glass of water containing dissolved NaHCO3 neutralizes excess HCl through this reaction: HCl (aq) + NaHCO3 (aq) → NaCl (aq) + H2O (l) + CO2 (g) The CO2 gas produced is what makes you burp after drinking the solution. Suppose the fluid in the stomach of a man suffering from indigestion can be considered to be 200.mL of a 0.035 M HCl solution. What mass of NaHCO3 would he need to ingest to neutralize this much HCl ? Be sure your answer has the correct number of significant digits.
Chemistry
1 answer:
FromTheMoon [43]3 years ago
8 0

Answer:

<em>The mass of NaHCO₃ that the man would need to ingest to neutralize this much HCl is 0.059 g.</em>

<em />

Explanation:

1) <u>Chemical equation (given)</u>:

  • HCl (aq) + NaHCO₃ (aq) → NaCl (aq) + H₂O (l) + CO₂ (g)

Both sides have the same number of atoms of each element:

Element       Let side      Right side

H                  1 + 1 = 2       1 × 2 = 2

Cl                 1                   1

Na                1                   1

C                  1                   1

O                 3                   1 + 2 = 3

Hence, the equation is balanced.

2. <u>Mole ratios:</u>

<u />

  • 1 mol HCl  : 1 mol NaHCO₃ : 1 mol NaCl : 1 mol H₂O : 1 mol CO₂

2)<u> Determine the number of moles of HCl in solution</u>:

  • M = n / V (liters) ⇒ n = M × V (liters)
  • V (liters) = 200.mL (1 liter / 1000 mL) = 0.200 liter
  • n = 0.035 M  × 0.200 liter = 0.00070 mol of HCl

3) <u>Set a proportion with the stoichiometric ratio and the actual ratio</u>:

  • 1 mol NaHCO₃ / 1 mol HCl = x / 00070 mol HCl

        ⇒ x = 0.00070 mol NaHCO₃

4.<u> Convert 0.0070 mol NaHCO₃ to grams</u>:

  • Mass in grams = molecular mass × number of moles
  • molecular mass NaHCO₃ = 84.007 g/mol
  • Mass of NaHCO₃ = 84.007 g/mol × 0.00070 mol = 0.0588 g ≈ 0.059 g

The answer has two significant digits because the molarity (0.035 M) is reported with two signficant digits.

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