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AleksAgata [21]
3 years ago
6

A certain metal hydroxide, m(oh)2, contains 32.8% oxygen by mass. what is the identity of the metal m? enter the full name of th

e element.
Chemistry
2 answers:
elena-14-01-66 [18.8K]3 years ago
3 0

Let the atomic mass of M metal be X.

The formula mass of metal hydroxide, M(OH)_2 = X+2\times 1+2\times 16 = (X+34) g/mol

Mass percentage of oxygen in metal hydroxide, M(OH)_2 = 32.8%

Mass percentage is given as:

\frac{mass of element}{total mass of compound}\times 100

Substituting the values:

\frac{2\times 16}{Y+34} = 32.8%

\frac{2\times 16}{Y+34} = 0.328

{32} = 0.328\times ({Y+34})

32 = 0.328Y+11.152

0.328Y = 20.848

Y = \frac{20.848}{0.328} = 63.56

The element having atomic mass 63.56 u is copper, Cu.

Hence, In metal hydroxide, M(OH_2) the metal M is copper, Cu. Formula of oxide is Cu(OH)_2.

Wittaler [7]3 years ago
3 0

The metal in the metal hydroxide is Copper, Cu.

<h3>Further Explanation</h3>

Mass percent is the ratio of an element's mass to the mass of the compound. It is mathematically expressed as:

mass \% \ of \ A = \frac{mass \ of \ element \ A}{mass \ of \ compound}

In the problem, the mass percent of oxygen is given as 32.8%. This can be used to determine the mass of the compound:

mass \% \ of\ O \ = \frac{2 \times 16u}{mass \ of \ compound} \times 100\\32.8 \% \ O \ = \frac{2 \times 16u}{mass \ of \ compound} \times 100\\ 0.328 = \frac{2 \times 16u}{mass \ of \ compound}\\\\ mass \ of \ compound = \frac{32u}{0.328}\\\boxed {mass \ of \ compound \ = 97.561u}

Now that the mass of the compound is known, the mass percent of hydrogen and of the metal, and the mass of the metal may be determined:

  • Mass % of Hydrogen

mass \% \ of\ H \ = \frac{2 \times 1}{97.561u} \times 100\\\boxed {mass \% \ of \ H = 2.05\%}

  • Mass % of Metal, M & Mass of the Metal

mass \% \ of \ M = \frac{mass \ of \ M}{97.561 u} \times 100\\\\\[100 - (32.8+2.05)] = \frac{mass \ of \ M}{97.561u} \times 100\\65.15 = \frac{mass \ of \ M}{97.561 u} \times 100\\0.6515 = \frac{mass \ of \ M}{97.561 u} \\mass \ of \ M \ = (0.6516)(97.561)\\\boxed {\boxed {mass \ of \ M \ = 63.56 u}}

From the mass of the metal, its identity may be known.

Using the periodic table, search for the metal that forms a +2 cation and has a mass of 63.56 u.

The metal that fits the criteria is Copper.

<h3>LEAR MORE</h3>
  • empirical formula brainly.com/question/8516072
  • chemical formula brainly.com/question/4697698

Keywords: <em>mass percent</em>

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