Question

What is the mass, in grams, of 9.76 x 10²⁴ molecules of methanol?

Answer 1

The mass of 9.76 x 10²⁴ molecules of methanol is 512 grams.

Step-by-step explanation:

The mass, in grams, of 9.76 x 1024 molecules of methanol can be calculated using the molar mass of methanol. The molar mass of methanol is 32 grams per mole. To find the mass of 9.76 x 1024 molecules, we can use the conversion factor . To find the mass of 9.76 x 10²⁴ molecules of methanol, convert molecules to moles and then multiply by the molar mass of methanol. The molar mass of methanol is 32.0 g/mol and using conversion factors, the mass is found to be approximately 0.52 grams.

To calculate the mass, in grams, of 9.76 x 10²⁴ molecules of methanol (CH3OH), we can use Avogadro's number and the molar mass of methanol. One mole of any substance contains 6.02 x 10²⁳ molecules. The molar mass of methanol is stated as 32.0 g/mol.

First, let's convert the number of molecules into moles:

1 mole = 6.022 x 1023 molecules

Let's set up the conversion:

9.76 x 1024 molecules x (1 mole/6.022 x 1023 molecules) x (32 grams/1 mole) = 512 grams