How Much Ore is Needed to Extract 47.0kg of Antimony?

[alicia113]

An Ore contains 19.6 %...

Question:

An ore contains 19.6% of the mineral stibnite, Sb2S3, which is a source of the element Sb. how much ore must be processed in order to obtain 47.0kg of Sb?My Work:

(47000g Sb)((153.825g Sb2S3/ 2 (121.76 g Sb)) (100g ore/19.6g Sb2S3)

which equals 151472.5983g
151.473 Kg
i just want to know if my though process is correct and if i am suppose to multiply the mass of Sb becasue it has 2 moles ! please let me know ! thanks ! and if my Sig Fig is correct in the final answer

 

[Borek]

i just want to know if my though process is correct

(47000g Sb)((153.825g Sb2S3/ 2 (121.76 g Sb)) (100g ore/19.6g Sb2S3)

It is not entirely wrong.

if i am suppose to multiply the mass of Sb becasue it has 2 moles !

Yes for 2, but your molar mass of Sb₂S₃ is completely off. 153.8 would be a molar mass for SbS.

which equals 151472.5983g
151.473 Kg

if my Sig Fig is correct in the final answer

No. How many sig figs in the data?

 

[alicia113]

It is not entirely wrong.



Yes for 2, but your molar mass of Sb₂S₃ is completely off. 153.8 would be a molar mass for SbS.





No. How many sig figs in the data?

oh ok.. so i multiply my sb by 2 and s by 3 .. (their masses and then add them together like normally)

 

[Borek]

oh ok.. so i multiply my sb by 2 and s by 3 .. (their masses and then add them together like normally)

That's how you calculate molar mass, yes.

 

[DeeNos]

Your thought process is correct. In order to obtain 47.0kg of Sb, we need to determine how much ore is needed to produce that amount of Sb. We know that 19.6% of the ore is made up of Sb2S3, which contains 2 moles of Sb for every mole of Sb2S3. Therefore, we need to multiply the mass of Sb by 2 to account for the 2 moles of Sb in Sb2S3. Your calculation is correct and the final answer, 151.473 kg, is also correct. As for significant figures, since the given mass of Sb is given to 3 significant figures, the final answer should be rounded to 3 significant figures as well, giving us 151 kg of ore. Great job!