Question

You blow up a spherical balloon to a diameter of 65.0 cm until the absolute pressure inside is 1.25 atm and the temperature is 25.0 ∘c . assume that all the gas in n2 is of molar mass 28.0 g/mol .

Find the mass of a single N2 molecule.

Answer 1

The mass of a single N₂ molecule is calculated using the molar mass of N₂ (28.0 g/mol) and Avogadro's number. After converting the molar mass to kilograms and dividing by Avogadro’s number, the mass of a single molecule is found to be 4.65 x 10¹²¶ kg/molecule.

Step-by-step explanation:

To find the mass of a single N₂ molecule, the given molar mass and Avogadro's number will be used. First, the molar mass of N₂ is 28.0 g/mol; to convert grams to kilograms for a single molecule, we use the conversion factor of 1 kg = 1,000 g. Then, we use Avogadro’s number (6.022 x 10²³ molecules/mol) to determine the number of molecules in one mole of a substance.

To get the mass of one molecule, we divide the molar mass in kilograms by Avogadro’s number.

(28.0 g/mol) / (1,000 g/kg) = 0.028 kg/mol



Then, for the mass of a single molecule:


(0.028 kg/mol) / (6.022 x 10²³ molecules/mol) = 4.65 x 10¹²¶ kg/molecule.