Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

If the lead can be extracted with 92.5fficiency, what mass of ore is required to make a lead sphere with a 7.00 cm radius? the density of lead is 11.4 g/c

Sagot :

If the lead can be extracted with 92.5 efficiency, the mass of ore is required to make a lead sphere with a 7.00 cm radius is 17.707 kg.

To find the mass of ore, the given values are,

The radius of the lead sphere is r = 7.0 cm,

The lead can be extracted with, η = 92.5% = 0.925 efficiency.

What is the Density?

Density is the substance's mass per unit of volume.

We know the density of lead as,

⇒ p = 11.4 g/cm³ .

The volume of the lead sphere is,

V = 4/3πr³

   = 4/3π(7)³

V = 1436.7 cm³.

Mass of the lead present in the lead sphere is,

m = p . V

    = 11.4  × 1436.7

    = 16379 g

m = 16.379 kg

From the expression of efficiency, we calculate the mass of the ore,

η = Mass of lead obtained / Mass of the ore to be taken

0.925 = 16.379 kg / Mass of the ore to be taken

Mass of the ore to be taken = 17.707 kg

If the lead can be extracted with 92.5 efficiency, the mass of ore is required to make a lead sphere with a 7.00 cm radius is 17.707 kg.

Learn more about Lead extraction,

https://brainly.com/question/10982537

#SPJ4