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Question

Consider the figure below, in which the blue circles represent atoms of copper metal, atomic mass $$63.5\ amu$$, while the red circles represent atoms in zinc metal, atomic mass $$65.4\ amu$$.
Here are four statements concerning this system. Identify the correct statement or statements.
I. This is a single-phase mixture, with a copper-to-zinc atom ratio of $$3 : 1$$.
II. This is two-phase mixture, with a copper-to-zinc atom ratio of $$8 : 1$$.
III. The mixture is $$80$$% copper, by mass.
IV. This mixture could be an alloy of copper and zinc.
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A
Statement I only.
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B
Statement II only.
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C
Statement I and III only.
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D
Statement I and IV only.
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Solution

The correct option is D Statement I and III only.
Here, no. of atoms of $$Cu = 30\space atoms$$
No. of atoms of $$Zn = 10\space atoms$$
Single phase mixture is a homogenous mixture with same proportions of atoms.
Here, the ratio of copper to zinc is $$3:1$$
So, it is a two phase mixture.
$$\Rightarrow \% \space Cu $$ by mass $$= \dfrac{3\times 63.5}{3\times 63.5 + 65.4} = \dfrac{190.5}{255.9} = 0.744\times 100 = 74\% \approx 80\% $$ by mass
The mixture can be alloy of zinc.

Chemistry

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