What is the volume of 8.7 * 10 ^ 23 molecules of chlorine gas (Cl 2) ?

32.3 dm³

Explanation:

Data given:

no. of molecules of Cl₂ = 8.7 x 10²³

Volume of chlorine gas (Cl₂) = ?

Solution:

First we have to find number of moles

For this formula used

no. of moles = no. of molecules / Avogadros number

no. of moles = 8.7 x 10²³ / 6.022 x 10²³

no. of moles = 1.44 moles

Now we have to find volume of the gas

for this formula used

no. of moles = volume of gas / molar volume

molar volume = 22.4 dm³/mol

Put values in above equation

1.44 moles = volume of Cl₂ gas / 22.4 dm³/mol

rearrange the above equation

volume of Cl₂ gas = 1.44 moles x 22.4 dm³/mol

volume of Cl₂ gas = 32.3 dm³