Question

An ore contains $20$ zinc. How many kg of ore will be required to get $45$ kg of zinc?

Answer 1

Hint : We know that the ore is natural rock or sediment that contains one or more valuable minerals, typically containing metals that can be mined, treated and sold at a profit. The grade of ore refers to the concentration of the desired material it contains.

Complete Step By Step Answer:
As we know that in metallurgy, we obtain pure metals through their ores. We purify ores through several methods and we obtain the required pure metal from the impure ore. Ores must be processed to extract the elements of interest from the waste rock. Before being treated with chemical methods to recover metals, ores undergo a process of physical methods of benefit. Benefit processes involve the release of minerals by crushing and grinding, then physical methods like gravity, magnetic, etc. or physicochemical methods separating the individual minerals.
We were given an ore containing $20$ zinc. Let the amount of ore required be x kg, then
Thus $20$ of $x=45$ kg and on further solving we get;
$\dfrac{20}{100}\times x=45kg$
Thus, the value of x here we get is:
$x=225kg$
Hence, $225$ kg of ore will be required to get $45$ kg of zinc.

Additional Information:
Metallurgy is the field of science which deals with the extraction of metals from ores which are naturally found in the environment. Some common ores of zinc are: Zinc blend $\left( ZnS \right),$ Calamine $\left( ZnC{{O}_{3}} \right),$ Zincite $\left( ZnO \right)$ etc. The extraction of metals and their isolation occurs over a few major steps which are as follows: Concentration of Ore, Isolation of metal from concentrated Ore and Purification of the metal. Zinc is obtained from its ore zinc blend which is also known as zinc sulphide. Zinc sulphide comes in two structures. One is sphalerite and the other is wurtzite. In both the forms the zinc and sulphur ratio is $1:1$ and maintains tetrahedral arrangement. However, Sphalerite is thermodynamically stable compared to wurtzite but both of them are found.

Note :
Remember that the zinc is used as an alloy and zinc is mixed with copper brass and other metals to form material commonly used in vehicles and other household appliances. It is also used in the production of zinc oxide (the most important zinc chemical by volume of production.