I'm having trouble with this question in my molar mass lab. if you obtain 10 grams of water, sugar, sodium chloride, copper, and Styrofoam will each sample have the same number of particles?
No.
mols = grams/molar mass. Since the molar mass of each of those substances is different then the number of mols must be different. And if the number of mols is different then mols x 6.02E23 will be different for the number of particles. The number of particles (ions) for NaCl will be 2 x mols x 6.02E23.
the short answer is that the heavier molecules will require fewer to make up the 10 grams of mass.
To determine if each sample will have the same number of particles, we need to compare the number of moles for each substance. The number of moles can be calculated using the formula:
Number of moles = Mass (in grams) / Molar mass
Let's calculate the number of moles for each substance:
1. Water (H2O):
The molar mass of water is 18 g/mol (2 hydrogen atoms with a molar mass of 1 g/mol each, and 1 oxygen atom with a molar mass of 16 g/mol).
Number of moles = 10 g / 18 g/mol
2. Sugar (C12H22O11):
The molar mass of sugar is approximately 342 g/mol (12 carbon atoms with a molar mass of 12 g/mol each, 22 hydrogen atoms with a molar mass of 1 g/mol each, and 11 oxygen atoms with a molar mass of 16 g/mol each).
Number of moles = 10 g / 342 g/mol
3. Sodium chloride (NaCl):
The molar mass of sodium chloride is 58.5 g/mol (sodium with a molar mass of 23 g/mol and chlorine with a molar mass of 35.5 g/mol).
Number of moles = 10 g / 58.5 g/mol
4. Copper (Cu):
The molar mass of copper is 63.5 g/mol.
Number of moles = 10 g / 63.5 g/mol
5. Styrofoam (Polystyrene):
Styrofoam is not a pure substance with a definite molar mass, as it is made up of a polymer called polystyrene. Therefore, we cannot directly calculate the number of moles for Styrofoam.
After comparing the number of moles for each substance, we can conclude:
- Water, sugar, sodium chloride, and copper will have different numbers of particles because they have different molar masses.
- Styrofoam cannot be compared in the same way as it is not a pure substance but a mixture.
So, to answer your question, no, each sample will not have the same number of particles.