Question #21678

Find the number of molecules in 100ml of Carbondioxide?

Expert's answer

Find the number of molecules in 100ml of Carbondioxide?

In order to find the number of molecules of CO₂, we need to know number of moles.

At STP v=V/Vm\mathrm{v} = \mathrm{V} / \mathrm{V}_{\mathrm{m}}

V=0.1 L\mathrm{V} = 0.1 \mathrm{~L}

Vm=22.4 L/mol\mathrm{V}_{\mathrm{m}} = 22.4 \mathrm{~L} / \mathrm{mol}

v(CO2)=0.1/22.4=0.0045 mol\mathrm{v}(\mathrm{CO}_{2}) = 0.1 / 22.4 = 0.0045 \mathrm{~mol}

Then we have to use Avogadro's Law

N(CO2)=v(CO2)NA\mathrm{N}(\mathrm{CO}_{2}) = \mathrm{v}(\mathrm{CO}_{2}) * \mathrm{N}_{\mathrm{A}} NA=6.021023 mol1\mathrm{N}_{\mathrm{A}} = 6.02 * 10^{23} \mathrm{~mol}^{-1}

N(CO2)=0.00456.021023=2.711021\mathrm{N}(\mathrm{CO}_{2}) = 0.0045 * 6.02 * 10^{23} = 2.71 * 10^{21}

N(CO2)=2.711021\mathrm{N}(\mathrm{CO}_{2}) = 2.71 * 10^{21}

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