Galena, a mineral of lead, is a compound of the metal with sulfur. Analysis shows that a 234-9 sample of galena contains 203 g of lead. Calculate the (a) mass of sulfur in the sample; (b) mass fractions of lead and sulfur in galena; (c) mass percents of lead and sulfur in galena

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13-08-2019
Chemistry

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Galena, a mineral of lead, is a compound of the metal with sulfur. Analysis shows that a 234-9 sample of galena contains 203 g of lead. Calculate the (a) mass of sulfur in the sample; (b) mass fractions of lead and sulfur in galena; (c) mass percents of lead and sulfur in galena

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valetta valetta · Answer 1 · 2019-08-16T06:57:27+02:00

Answer:

a) 31 g

b) 0.867, 0.132

c) 86.75%, 13.24%

Explanation:

Given:

Mass of the sample of galena = 234 g

Mass of the lead in the sample = 203 g

Now,

galena = sulfur + lead

thus,

a) Mass of the sulfur will be calculated as:

= mass of the sample of galena - mass of lead

on substituting the values, we have

= 234 - 203

or

= 31 g

b) Now,

the mass fraction of lead will be calculated as = ( mass of lead) / (total mass of the galena sample)

= 203/234 = 0.867

and,

Mass fraction of sulfur will be = ( mass of the sulfur in the sample) / ( total mass of the sample)

thus we have

= 31/234

⇒ 0.132

(c) Now the mass percentage of lead in the sample = (mass of lead in the sample ) / (total mass of sample) × 100%

= (203 / 234) x 100%

= 86.75%

and

the mass percentage of sulfur in the sample = ( mass of sulfur in the sample ) / (total mass of the sample) × 100%

= (31 / 234) × 100%

⇒ 13.24%

mahima6824soni mahima6824soni · Answer 2 · 2022-02-05T08:15:58+01:00

(a) The mass of sulfur is 31 g.

(b) The mass fractions of lead and sulfur in galena is 0.867 and 0.132 respectively.

(c) The mass percents of lead and sulfur in galena is 86.75% and 13.24% respectively.

What is Galena?

Galena, also known as lead glance, is the mineral form of lead(II) sulfide in its native state. It is the most important lead ore and a significant silver source.

Calculation:

Given,

The sample of Galena is 234 g

Mass of lead in Galena sample is 203 g

(a) Calculation of Mass of sulfur

Galena = lead + sulfur

So, 234 = 203 + sulfur

Sulfur = 234 - 203

Sulfur = 31 g.

(b) Calculation of mass fractions of lead and sulfur in galena

Mass fraction of lead:

[tex]\bold{Mass\; fraction\; of\; lead = \dfrac{(mass\; of\; lead)}{(total\;mass\; of\; the\; galena\; sample)}}[/tex]

[tex]\bold{Mass\; fraction\; of\; lead = \dfrac{203}{234} = 0.867}[/tex]

Mass fraction of sulfur:

[tex]\bold{Mass\; fraction\; of\; lead = \dfrac{(mass\; of\; sulfur)}{(total\;mass\; of\; the\; galena\; sample)}}[/tex]

[tex]\bold{Mass\; fraction\; of\; sulfur = \dfrac{31}{234} = 0.132}[/tex]

(c) Calculation of mass % of lead and sulfur

[tex]\bold{Mass\; percentage \;of \;Lead = \dfrac{(mass\; of \;lead ) }{(total\; mass\; of \;sample)} \times 100}[/tex]

[tex]\bold{Mass\; percentage \;of \;Lead = \dfrac{203 }{234} \times 100= 86.75\% }[/tex]

[tex]\bold{Mass\; percentage \;of \;Sulfur = \dfrac{(mass\; of \;sulfur ) }{(total\; mass\; of \;sample)} \times 100}[/tex]

[tex]\bold{Mass\; percentage \;of \;sulfur = \dfrac{31 }{234} \times 100= 13.24\% }[/tex]

Thus, the mass of sulfur is 31 g, mass fraction of lead and sulfur is 0.867 and 0.132 respectively, mass % of lead and sulfur is 86.75% and 13.24% respectively.

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