Question

What is the mass in grams of 8.69 × 10²⁵ molecules of cl₂?

Answer 1

1.02 x 10³ grams Cl₂ to 3 sig figs

Step-by-step explanation:

Start with the definition of a mole. 1 mole is defined as 6.02 x 10^23 particles of ANYTHING. Paperclips, cars, ants, cupcakes, ideas, bosses, anything. In science, 1 mole most often refers to the numbers of atoms or molecules. (It can a1so apply to electrons, distance, and dirty glassware).

One mole of Cl₂ molecules means we have 6.02 x 10^23 Cl₂ molecules. It is also important to remember that 1 mole of an atom or compound has a mass that is numerically equivalent to the atomic mass of that unit. One mole of Cl₂ has a mass of 2 x (35.5 AMU) = 71 AMU or grams/mole.

To calculate the mass in grams of 8.69 × 10²⁵ molecules of Cl₂, use the units to guide the calculation.

First, calculate moles Cl₂:

(8.69 × 10²⁵ molecules Cl₂)*(1 mole/(6.02 x 10^23 molecules Cl₂))

Molecules Cl₂ cancel, leaving just moles Cl₂

(8.69 × 10²⁵)/(6.02 x 10^²³) = 144.35 moles of Cl₂.

The molar mass of Cl₂ is 71 grams/mole

Convert moles Cl₂ to grams Cl₂ by multiplying and canceling moles, leaving just grams:

(144.35 moles of Cl₂)*(71 grams/mole Cl₂ ) = 10,249 grams

There are three sig figs in the information, so the answer is 1.02 x 10³ grams Cl₂.

Answer 2

To find the mass in grams of 8.69 × 10²⁵ molecules of Cl₂, use the given conversion factors to convert the number of molecules into moles of Cl₂, then convert moles of Cl₂ into grams of Cl₂ using the molar mass of Cl₂. The mass in grams of 8.69 × 10²⁵ molecules of Cl₂ is approximately 2.38 × 10³ grams.

Step-by-step explanation:

To find the mass in grams of 8.69 × 10²⁵ molecules of Cl₂, we need to use conversion factors. The given conversion factors are 1 mole of Cl₂ over 70.90 grams of Cl₂ and 6.022 × 10²³ Cl₂ molecules over 1 mole of Cl₂. By using these conversion factors, we can calculate the mass in grams of the given number of Cl₂ molecules.

1. Convert the given number of molecules into moles of Cl₂.
2. Convert moles of Cl₂ into grams of Cl₂ using the molar mass of Cl₂.
3. Calculate the final answer.

By following these steps, the mass in grams of 8.69 × 10²⁵ molecules of Cl₂ is approximately 2.38 × 10³ grams.

Learn more about mass in grams of molecules