How many grams of NaCl are in 2.75 x 10^26 molecules of NaCl?
well, you have (2.75x10^26)/(6.02x10^23) = 456.81 moles
Now just convert that to grams in the usual way.
To calculate the number of grams of NaCl in 2.75 x 10^26 molecules, we need to use the concept of Avogadro's number and the molar mass of NaCl.
Step 1: Determine the molar mass of NaCl.
The chemical formula for sodium chloride (NaCl) consists of one Na atom and one Cl atom. The atomic mass of Na is approximately 22.99 g/mol, and the atomic mass of Cl is around 35.45 g/mol.
So, the molar mass of NaCl = 22.99 g/mol + 35.45 g/mol = 58.44 g/mol.
Step 2: Calculate the moles of NaCl.
To calculate the moles of NaCl, we divide the given number of molecules by Avogadro's number (6.022 x 10^23 molecules/mol).
2.75 x 10^26 molecules ÷ (6.022 x 10^23 molecules/mol) = 45.67 mol.
Step 3: Convert moles to grams.
To convert moles to grams, multiply the number of moles by the molar mass of NaCl.
45.67 mol x 58.44 g/mol = 2,670.47 g.
Therefore, there are approximately 2,670.47 grams of NaCl in 2.75 x 10^26 molecules of NaCl.
To determine the number of grams of NaCl in 2.75 x 10^26 molecules of NaCl, you need to use the concept of molar mass and Avogadro's number.
1. Find the molar mass of NaCl:
- The molar mass of Na (sodium) is approximately 22.99 g/mol.
- The molar mass of Cl (chlorine) is approximately 35.45 g/mol.
- The molar mass of NaCl is the sum of the molar masses of Na and Cl, which gives us approximately 58.44 g/mol.
2. Use Avogadro's number:
- Avogadro's number is approximately 6.022 x 10^23 molecules/mol. It represents the number of particles (atoms, molecules, etc.) in one mole of a substance.
3. Calculate the grams of NaCl:
- The given value, 2.75 x 10^26 molecules of NaCl, is already in molecule units.
- Convert molecules to moles: Divide the given number of molecules by Avogadro's number.
(2.75 x 10^26 molecules) / (6.022 x 10^23 molecules/mol) = 4.56 moles of NaCl
- Convert moles to grams: Multiply the number of moles by the molar mass of NaCl.
4.56 moles x 58.44 g/mol = 266 grams of NaCl
Therefore, there are approximately 266 grams of NaCl in 2.75 x 10^26 molecules of NaCl.