Question

An alloy contains $40\%$copper, $32\%$ nickel and rest zinc. Find the mass of zinc in one kg of the alloy.

Answer 1

An alloy is a mixture of different chemical elements, The chemical elements will be metals, sometimes the combination of a metal and non-metal. Given that an alloy contains copper, nickel and zinc. Given that the amount of alloy is one kg. the percentage can be converted into grams to find out the mount of an alloy.

Complete answer:
Given that alloy is a mixture of copper, nickel and zinc. All the three chemical elements are metals. The mixture of these chemical elements can be called an alloy.
Given the weight of an alloy is one kilogram. One kilogram is equal to $1000$ grams.
Given that $1000$ grams of alloy contain $40\%$copper
Thus, the weight of copper in grams will be $\dfrac{{40}}{{100}} \times 1000 = 400grams$
Given that $1000$ grams of alloy contain $32\%$ nickel
Thus, the weight of nickel in grams will be $\dfrac{{32}}{{100}} \times 1000 = 320grams$
Thus, the total weight of copper and nickel is $400 + 320 = 720grams$
The weight of zinc can be calculated from the subtraction of weight of copper and nickel from weight of an alloy i.e., $1000$ grams
Thus, the weight of zinc is $1000 - 720 = 280grams$
The mass of zinc in the given composition of an alloy is $280grams$.

Note:
Alloys have many important applications in shipping, aircraft, weapons and also musical instruments. Brass is an alloy consisting of copper and zinc useful in making coins and musical instruments. Steel is also an alloy. Bronze is an alloy consisting of copper and tin used in making ships.