calculate the number of molecules in 30g water
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To calculate the number of molecules in 30g of water, we will need to use the concept of the mole and Avogadro's number.
1. Determine the molar mass of water (H₂O).
- The molar mass of hydrogen (H) is approximately 1.008 g/mol.
- The molar mass of oxygen (O) is approximately 16.00 g/mol.
- Therefore, the molar mass of water is roughly 18.016 g/mol.
2. Convert the given mass of water to moles.
- Use the formula: moles = mass (g) / molar mass (g/mol)
- Plug in the values: moles = 30g / 18.016 g/mol ≈ 1.664 mol
3. Calculate the number of molecules using Avogadro's number.
- Avogadro's number is approximately 6.022 x 10²³ molecules per mole.
- Use the formula: number of molecules = moles x Avogadro's number
- Plug in the values: number of molecules = 1.664 mol x 6.022 x 10²³ molecules/mol
Therefore, the approximate number of molecules in 30g of water is estimated to be 1.00 x 10²⁴ molecules.
To calculate the number of molecules in 30g of water, you'll need to use the concept of Avogadro's number and the molar mass of water.
Step 1: Find the molar mass of water (H2O)
The molar mass of water is calculated by adding up the atomic masses of its component elements: hydrogen (H) and oxygen (O). The atomic mass of hydrogen is approximately 1 gram per mole (g/mol), and the atomic mass of oxygen is approximately 16 g/mol.
So, the molar mass of water (H2O) = (2 * atomic mass of hydrogen) + atomic mass of oxygen
= (2 * 1) + 16
= 2 + 16
= 18 g/mol
Step 2: Convert the mass of water to moles
To convert the mass of water (30g) to moles, divide the mass by the molar mass of water.
Number of moles = (Mass of water) / (Molar mass of water)
= 30g / 18 g/mol
≈ 1.67 moles (rounded to two decimal places)
Step 3: Calculate the number of molecules
Finally, to find the number of molecules in 1.67 moles of water, multiply the number of moles by Avogadro's number, which is approximately 6.022 x 10^23 molecules per mole.
Number of molecules = (Number of moles) * (Avogadro's number)
= 1.67 moles * (6.022 x 10^23 molecules/mole)
= 1.00 x 10^24 molecules
Therefore, there are approximately 1.00 x 10^24 molecules in 30 grams of water.