Question

Determine the number of atoms in 1.85 ml of mercury. (the density of mercury is 13.5 g/ml.)

Answer 1

To determine the number of atoms in 1.85 ml of mercury, convert the volume to mass using the density of mercury. Then, calculate the number of moles of mercury using its atomic mass. Finally, use Avogadro's number to calculate the number of atoms in the given amount of mercury.

Step-by-step explanation:

To determine the number of atoms in 1.85 ml of mercury, we need to convert the volume to mass using the density of mercury. The density of mercury is 13.5 g/ml. So, the mass of 1.85 ml of mercury is 1.85 ml x 13.5 g/ml = 24.975 g.

Next, we need to calculate the number of moles of mercury using its atomic mass. The atomic mass of mercury is 200.59 g/mol. To find the number of moles, we divide the mass (in grams) by the molar mass: 24.975 g / 200.59 g/mol = 0.1245 mol.

Finally, we can calculate the number of atoms in 0.1245 mol of mercury. Avogadro's number tells us that there are 6.022 x 10^23 atoms in 1 mol of any substance. So, the number of atoms in 0.1245 mol of mercury is 0.1245 mol x 6.022 x 10^23 atoms/mol = 7.49 x 10^22 atoms.

Answer 2

First step is to get the mass of the mercury:
Pressure = mass/volume
mass = pressure x volume = 13.5 x 1.85 = 24.975 gm

Second step is to calculate the number of moles in 24.975 gm:
From the periodic table, the molar mass of mercury is 200.59
mass = number of moles x molar mass
number of moles = 24.975 / 200.59 = 0.1245 mole

Last step is to get the number of atoms:
Each mole contains 6.02 x 10^23 atoms
number of atoms = 0.1245 x 6.02 x 10^23 = 7.4949 x 10^22 atoms