In a sample of 0.65L of H2O contains 2.5×10^50 molecules.What is the density of sample of H2O?
To find the density of a sample of H2O, we can use the formula:
Density = mass / volume
To calculate the density, we need to know the mass and volume of the sample.
Step 1: Calculate the mass of the sample
To find the mass of the sample, we need to know the molar mass of water (H2O). The molar mass of water is approximately 18.01528 grams/mol. Since we know the number of molecules in the sample, we can use Avogadro's number (6.022 x 10^23 molecules/mol) to calculate the number of moles of water (n) in the sample:
n = number of molecules / Avogadro's number
n = 2.5 x 10^50 molecules / 6.022 x 10^23 molecules/mol
Step 2: Calculate the mass of the sample using the number of moles and molar mass:
mass = n * molar mass
mass = n * 18.01528 grams/mol
Step 3: Calculate the density
We already know the volume of the sample is 0.65L. Now we can calculate the density using the formula:
density = mass / volume
Substituting the mass and volume values:
density = (n * 18.01528 grams/mol) / 0.65 L
Simplifying the expression will give you the answer for the density.