A substance contains 23.0 g sodium, 27.0 g aluminum, and 114 g fluorine. How many grams of sodium are there in a 102-g sample of the substance?

Respuesta :

Answer : The mass of sodium are there in a 102-g sample of the substance are 14.28 grams.

Explanation: Given,

Mass of sodium = 23.0 g

Mass of aluminum = 27.0 g

Mass of fluorine = 114 g

Total mass of sample = 102 g

Total mass of substance =  Mass of sodium + Mass of aluminum + Mass of fluorine

Total mass of substance = 23.0 + 27.0 + 114 = 164 g

Now we have to calculate the mass fraction of sodium.

[tex]\text{ Mass fraction of sodium}=\frac{\text{Mass of sodium}}{\text{Total mass of substance}}[/tex]

[tex]\text{ Mass fraction of sodium}=\frac{23.0g}{164g}=0.140[/tex]

Now we have to calculate the mass of sodium are there in a 102-g sample of the substance.

[tex]\text{Mass of sodium}=0.140\times 102=14.28g[/tex]

Therefore, the mass of sodium are there in a 102-g sample of the substance are 14.28 grams.

The mass of sodium, Na in 102 g sample of the substance is 14.28 g

We'll begin by calculating the mass fraction of sodium, Na in the sample. This can be obtained as follow:

Mass of Na = 23 g

Mass of Al = 27 g

Mass of fluorine = 114 g

Total mass = 23 + 27 + 114

Total mass = 164 g

Mass fraction of Na =?

[tex]Mass fraction = \frac{mass of element}{total mass } \\\\= \frac{23}{164}\\\\[/tex]

= 0.140

  • Finally, we shall determine the mass of sodium, Na in 102 g of the sample. This can be obtained as follow:

Mass fraction of Na = 0.140

Mass of sample = 102 g

Mass of Na =?

Mass of element = mass fraction × mass of sample

Mass of Na = 0.140 × 102

Mass of Na = 14.28 g

Therefore, the mass of sodium, Na in 102 g of the sample is 14.28 g

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