a sample of mass 6.814grams is added to another sample weighing 0.08753 grams. the subsequent mixture is then divided into exactly 3 equal parts. one of those parts has the yield multiplied by 7.6335 times, what is the final mass?

Respuesta :

Answer:

[tex]Final\ Mass = 17.560943085g[/tex]

Explanation:

Given

[tex]Sample\ Mass = 6.814g[/tex]

[tex]Additional\ Mass = 0.08753g[/tex]

[tex]Yield = 7.6335[/tex]

Required

Determine the final mass

First we need to determine the total mass after the sample mass is added to an additional sample;

[tex]Total\ Mass = Additional\ Mass + Sample\ Mass[/tex]

[tex]Total\ Mass = 0.08753g + 6.814g[/tex]

[tex]Total\ Mass = 6.90153g[/tex]

Next, divide the total mass by 3

[tex]New\ Mass = \frac{Total\ Mass}{3}[/tex]

[tex]New\ Mass = \frac{6.90153g}{3}[/tex]

[tex]New\ Mass = 2.30051g[/tex]

The final mass is calculated as follows;

[tex]Final\ Mass = New\ Mass * Yield[/tex]

[tex]Final\ Mass = 2.30051g * 7.6335[/tex]

[tex]Final\ Mass = 17.560943085g[/tex]

Hence, the final mass is 17.560943085g

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