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a copper ore contains 3.00% of copper carbonate, CuCO3, by mass. Which mass of copper would be obtained from 1 tonne of the ore?

A 1.91kg B 3.71kg C 15.3kg D 58.4kg​

Respuesta :

Answer:

(c) 15.39 kg of copper present in 1tonne of ore.

Explanation:

We are given that ore contains 3% of copper carbonate

1tonne = 1000kg

3% of copper carbonate in 1000kg of ore will be

= [tex]\frac{3}{100}*1000[/tex] = 30kg

30 kg of copper carbonate is present in ore

CuCO3 has 63.5g of cupper present in it

molar mass of CuCO3 = 123.5

so the percentage of copper present in CuCO3

= [tex]\frac{63.5}{123.5}*100[/tex] = 51.3% of copper present per kg CuCO3

Now

amount of copper present in 30kg of CuCO3

= [tex]\frac{51.3}{100}* 30[/tex] = 15.39kg

15.39 kg of copper present in 1tonne of ore

The mass of copper obtained from 1 tonne of the ore is 15.4 kg

The copper ore has 3% of copper carbonate by mass.

The mass of copper carbonate in 1 tonne of the ore can be calculated below.

1000 kg = 1 tonne

Therefore,

mass of copper carbonate = 3 /100 × 1000 = 30 kg

atomic mass of copper = 63.5 g

molar mass of CuCO₃ = 123.55 g

123.55 g of CuCO₃ gives 63.5 g of copper  

30, 000g of CuCO₃ will give ? of copper

cross multiply

mass of copper = 30,000 × 63.5 / 123.55

mass of copper = 1905000 / 123.55 = 15418.8587616 g

mass of copper = 15418.8587616 / 1000 ≈ 15. 4 kg  

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