Rolaids once ran a national advertising campaign in which it claimed that Rolaids consumes 47times its own weight of excess stomach acid. Can this be true. (Assume that stomach acid is .100M HCl and that its density is 1g/ml.
I have no idea how to go about this problem could someone help me set it up?
To determine whether Rolaids can consume 47 times its own weight of excess stomach acid, we need to compare the weight of Rolaids to the amount of excess stomach acid it can neutralize.
First, let's calculate the weight of Rolaids needed to neutralize the excess stomach acid. We'll assume that the excess stomach acid is in moles.
1. Find the molar mass of HCl:
- The molar mass of H is 1 g/mol, and the molar mass of Cl is 35.5 g/mol.
- Therefore, the molar mass of HCl is 1 + 35.5 = 36.5 g/mol.
2. Convert the concentration of HCl from molarity (M) to moles per liter:
- The concentration of HCl is given as 0.100 M.
- This means that there are 0.100 moles of HCl in 1 liter of solution.
3. Calculate the number of moles of excess HCl (stomach acid):
- Multiply the concentration by the volume of excess stomach acid you want to neutralize.
- For simplicity, let's assume we want to neutralize 1 liter of excess stomach acid. So we have:
Moles of HCl = 0.100 moles/L x 1 L = 0.100 moles.
4. Calculate the weight of excess stomach acid in grams:
- Use the molar mass of HCl to convert moles to grams:
Weight of HCl = Moles of HCl x Molar mass of HCl = 0.100 moles x 36.5 g/mol = 3.65 grams.
Now, let's determine if Rolaids can consume 47 times its own weight of excess stomach acid.
1. Find the weight of Rolaids required to neutralize the excess stomach acid:
- Multiply the weight of excess stomach acid by 47:
Weight of Rolaids = 3.65 grams x 47 = 171.55 grams.
2. Compare the weight of Rolaids to its actual weight:
- If the weight of Rolaids is less than or equal to 171.55 grams, then the claim that it consumes 47 times its weight of excess stomach acid could be true.
- If the weight of Rolaids is greater than 171.55 grams, then the claim is not true.
So, if the weight of Rolaids is less than or equal to 171.55 grams, the claim that Rolaids consumes 47 times its own weight of excess stomach acid could be true.