Determine the volume of hexane that contains 5.33 × 1022 molecules of hexane. The density of hexane is 0.6548 g/ml and its molar mass is 86.17 g/mol.

Respuesta :

we are asked to find the volume of hexane. Density is mass per given volume.

1 mol of any substance is made of 6.022 x 10²³ units, these units could be atoms making up an element or molecules making up a compound.

the number of molecules in hexane has been given therefore we can find the number of moles of hexane

6.022 x 10²³ molecules make up - 1 mol

therefore 5.33 x 10²² molecules make - 1 / (6.022 x 10²³) x 5.33 x 10²²

                                                               = 0.0885 mol

since we know the molar mass and number of moles, mass of hexane can be calculated

mass of hexane = 86.17 g/mol x 0.0885 mol = 7.63 g

density has been given, therefore we can find the volume

volume = mass / density

volume = 7.63 g / 0.6548 g/ml = 11.7 ml

volume of hexane is 11.7 ml

Hexane is an organic compound, which has six carbon atoms in a straight line. The volume of hexane that contains 5.33 × 1022 molecules of hexane is 11.7 ml.

What is Hexane?

Hexane is a solvent that is widely used in industries to extract edible oils from vegetables.

Its formula is [tex]\bold{C_6H_1_4 }[/tex]

Given,

The density of hexane is 0.6548 g/ml

Molar mass is 86.17 g/mol.

1 mol = 6.022 x 10²³ molecules

Therefore, 5.33 x 10²² molecules make

[tex]\bold{\dfrac{1}{(6.022 \times 10^2^3)} \times 5.33 \times 10^2^2 = 0.0885 mol}[/tex]

Since we know the molar mass and number of moles of the compound, the mass of hexane will be

[tex]\bold{Mass\; of\; hexane = 86.17 g/mol \times 0.0885 mol = 7.63 g}[/tex]

Now, calculating the volume by the density

[tex]\bold{Volume = \dfrac{mass}{density}} \\\\\bold{Volume = \dfrac{7.63 g}{0.6548 g/ml }=11.7\;ml}[/tex]

Thus, the volume of hexane is 11.7 ml.

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volume of hexane is 11.7 mlExplanation: