Question

Calculate the no. of molecules in 4 g of methane (CH4) ?

Answer 1

Molecular wt. of CH4 = 16
6.023× 10 ^( 23) atoms = 16 g of CH4
so 4 g of CH4 = (6.023× 10^(23) × 4)/16
= 1.505 ×10^(23) molecules

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Answer 2

Answer : The number of molecules in 4 g of methane is, $1.5\times 10^{23}$

Solution : Given,

Mass of methane = 4 g

Molar mass of methane = 16 g/mole

First we have to calculate the moles of methane.

$\text{Moles of methane}=\frac{\text{Mass of methane}}{\text{Molar mass of methane}}=\frac{4g}{16g/mole}=0.25mole$

Now we have to calculate the number of molecules of methane.

As, 1 mole of methane contains $6.022\times 10^{23}$ number of molecules of methane

So, 0.25 mole of methane contains $0.25\times 6.022\times 10^{23}=1.5\times 10^{23}$ number of molecules of methane

Therefore, the number of molecules in 4 g of methane is, $1.5\times 10^{23}$