To find out how many salt (NaCl) molecules are consumed when taking 3 grams daily, we can follow these steps:
Step 1: Calculate the Molar Mass of NaCl
The molar mass of sodium chloride (NaCl) can be calculated by adding the atomic masses of sodium (Na) and chlorine (Cl):
- Sodium (Na): approximately 22.99 g/mol
- Chlorine (Cl): approximately 35.45 g/mol
Molar mass of NaCl=22.99+35.45=58.44 g/mol\text{Molar mass of NaCl} = 22.99 + 35.45 = 58.44 \, \text{g/mol}Molar mass of NaCl=22.99+35.45=58.44g/mol
Step 2: Convert Grams to Moles
Next, convert the mass of NaCl consumed (3 grams) into moles using the molar mass:
Moles of NaCl=Mass of NaClMolar mass of NaCl=3 g58.44 g/mol≈0.0513 moles\text{Moles of NaCl} = \frac{\text{Mass of NaCl}}{\text{Molar mass of NaCl}} = \frac{3 \, \text{g}}{58.44 \, \text{g/mol}} \approx 0.0513 \, \text{moles}Moles of NaCl=Molar mass of NaClMass of NaCl=58.44g/mol3g≈0.0513moles
Step 3: Calculate the Number of Molecules
To find the number of molecules, multiply the number of moles by Avogadro's number (approximately 6.022×10236.022 \times 10^{23}6.022×1023 molecules/mol):
Number of molecules=Moles of NaCl×Avogadro’s number\text{Number of molecules} = \text{Moles of NaCl} \times \text{Avogadro's number}Number of molecules=Moles of NaCl×Avogadro’s number =0.0513 moles×6.022×1023 molecules/mol≈3.09×1022 molecules= 0.0513 \, \text{moles} \times 6.022 \times 10^{23} \, \text{molecules/mol} \approx 3.09 \times 10^{22} \, \text{molecules}=0.0513moles×6.022×1023molecules/mol≈3.09×1022molecules
Final Answer
Therefore, the amount of salt molecules consumed in a day when taking 3 grams of NaCl is approximately:
≈3.088×1022 molecules\approx 3.088 \times 10^{22} \, \text{molecules}≈3.088×1022molecules
So, the correct choice is B) 3.088 x 10²².
To find out how many salt (NaCl) molecules are consumed when taking 3 grams daily, we can follow these steps:
Step 1: Calculate the Molar Mass of NaCl
The molar mass of sodium chloride (NaCl) can be calculated by adding the atomic masses of sodium (Na) and chlorine (Cl):
- Sodium (Na): approximately 22.99 g/mol
- Chlorine (Cl): approximately 35.45 g/mol
Molar mass of NaCl=22.99+35.45=58.44 g/mol\text{Molar mass of NaCl} = 22.99 + 35.45 = 58.44 \, \text{g/mol}Molar mass of NaCl=22.99+35.45=58.44g/mol
Step 2: Convert Grams to Moles
Next, convert the mass of NaCl consumed (3 grams) into moles using the molar mass:
Moles of NaCl=Mass of NaClMolar mass of NaCl=3 g58.44 g/mol≈0.0513 moles\text{Moles of NaCl} = \frac{\text{Mass of NaCl}}{\text{Molar mass of NaCl}} = \frac{3 \, \text{g}}{58.44 \, \text{g/mol}} \approx 0.0513 \, \text{moles}Moles of NaCl=Molar mass of NaClMass of NaCl=58.44g/mol3g≈0.0513moles
Step 3: Calculate the Number of Molecules
To find the number of molecules, multiply the number of moles by Avogadro's number (approximately 6.022×10236.022 \times 10^{23}6.022×1023 molecules/mol):
Number of molecules=Moles of NaCl×Avogadro’s number\text{Number of molecules} = \text{Moles of NaCl} \times \text{Avogadro's number}Number of molecules=Moles of NaCl×Avogadro’s number =0.0513 moles×6.022×1023 molecules/mol≈3.09×1022 molecules= 0.0513 \, \text{moles} \times 6.022 \times 10^{23} \, \text{molecules/mol} \approx 3.09 \times 10^{22} \, \text{molecules}=0.0513moles×6.022×1023molecules/mol≈3.09×1022molecules
Final Answer
Therefore, the amount of salt molecules consumed in a day when taking 3 grams of NaCl is approximately:
≈3.088×1022 molecules\approx 3.088 \times 10^{22} \, \text{molecules}≈3.088×1022molecules
So, the correct choice is B) 3.088 x 10²².