The number of molecules of helium gas contained in 11.5g of the gas is

Assessment: JAMB UTME - Chemistry - 2024 Subject: Chemistry

Question 1 Report

The number of molecules of helium gas contained in 11.5g of the gas is
Answer Details

To find the number of molecules of helium gas in a given mass, we can use Avogadro's number and the molar mass of helium.


Step 1: Determine the molar mass of helium.

Helium is a noble gas with an atomic mass of approximately 4 grams per mole (g/mol).


Step 2: Calculate the number of moles in 11.5 grams of helium.

The formula to find the number of moles is:

Number of moles = Mass (g) / Molar Mass (g/mol)

So for helium:

Number of moles = 11.5 g / 4 g/mol = 2.875 moles


Step 3: Use Avogadro's number to find the number of molecules.

Avogadro's number is 6.022 x 1023 molecules per mole.

The formula to find the number of molecules is:

Number of molecules = Number of moles x Avogadro's Number

Number of molecules = 2.875 moles x 6.022 x 1023 molecules/mole

Number of molecules ≈ 1.73 x 1024 molecules


Therefore, the number of molecules of helium gas in 11.5g of helium is approximately 1.73 x 1024.

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