Question

mass of 1×10^23 molecules of methane

Answer 1

1 mole=6.023*10^23 molecules
1 molecule=1/(6.023*10^23) moles
=>1*10^23 molecules=10^23/(6.023*10^23) moles
                                   =0.166 moles
=>mass of 1*10^23 molecules of methane=0.166*16    (wt.=no. of moles*G.M.W)
                                                                    =2.656 gm

Answer 2

Therefore the mass of 1 × 10²³ molecules of methane is 2.66 grams.

Given:

The hydro-carbon: Methane ( CH₄ )

To Find:

The mass of 1 × 10²³ molecules of methane

Solution:

The given question can be solved very easily as shown below.

We know that 1 mole = 6.023 × 10²³ molecules = 16 grams of CH₄

Mass of 1 molecule of methane = 1 / ( 6.023 × 10²³ ) moles = 16 / 6.023 × 10²³ grams of CH₄

⇒ Mass of 10²³ molecules of methane = 10²³ × 16 /( 6.023 × 10²³ ) grams

⇒ Mass of 10²³ molecules of methane = 2.656 grams                              

Therefore the mass of 1 × 10²³ molecules of methane is 2.66 grams.

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