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Pepsi [2]
3 years ago
10

A 0.999-g sample of a metal chloride, mcl2, is dissolved in water and treated with excess aqueous silver nitrate. The silver chl

oride that formed weighed 1.286 g. Calculate the atomic mass of m.
Chemistry
2 answers:
stira [4]3 years ago
8 0

Atomic mass of M is \boxed{151.6\text{ g}} .

Further Explanation:

Given reaction occurs as follows:

\text{MCl}_2(aq)+2\text{AgNO}_3(aq)\rightarrow\text{2AgCl}(s)+\text{M}\left(\text{NO}_3}\right)_2(aq)

The formula to calculate moles of AgCl is as follows:

\text{Moles of AgCl}=\dfrac{\text{Mass of AgCl}}{\text{Molar mass of AgCl}}                ...... (1)

Substitute 1.286\text{ g} for mass of AgCl and 143.32\text{ g/mol} for molar mass of AgCl in equation (1).

\begin{aligned}\text{Moles of AgCl}=&\dfrac{\text{1.286 g}}{\text{143.32 g/mol}}\\=&0.00897\text{ mol}\end{aligned}

According to the balanced chemical reaction, one mole of \text{MCl}_2 reacts with two moles of \text{AgNO}_3 to form two moles of AgCl and one mole of \text{M}\left(\text{NO}_3\right)_2, So stoichiometric ratio between \text{MCl}_2  and AgCl is 1:2.

Since two moles of AgCl are produced by one mole of \text{MCl}_2 , number of moles of \text{MCl}_2 that can produce 0.00897 moles of AgCl can be calculated as follows:

\begin{aligned}\text{Moles of MCl}_2=&\left(\dfrac{\text{1 mol of MCl}_2}{\text{2 mol of AgCl}}\right)\left(0.00897\text{mol AgCl}\right)\\=&0.00449\text{ mol}\end{aligned}

The formula to calculate number of moles of \text{MCl}_2 is as follows:

\text{Moles of MCl}_2=\dfrac{\text{Mass of MCl}_2}{\text{Molar mass of MCl}_2}                              ...... (2)

Rearrange equation (2) to calculate molar mass of \text{MCl}_2 .{\text{Molar mass of MCl}_2}=\dfrac{\text{Mass of MCl}_2}{\text{Moles of MCl}_2}                                ...... (3)

Substitute 0.999 g for mass of \text{MCl}_2 and 0.00449 mol for moles of \text{MCl}_2  in equation (3).

\begin{aligned}{\text{Molar mass of MCl}_2}=&\dfrac{\text{0.999 g}}{\text{0.00449 mol}}\\=&222.5\text{ g/mol}\end{aligned}

The formula to calculate molar mass of \text{MCl}_2  is as follows:

\text{Molar mass of MCl}_2=\left[1\left(\text{Atomic mass of M}\right)+\\\\2\left(\text{Atomic mass of Cl}\right)\right]}  ....... (4)

Rearrange equation (4) to calculate atomic mass of M.

\text{Atomic mass of M}=\left[\text{Molar mass of MCl}_2-2\left(\text{Atomic mass of Cl}\right)\right]   ...... (5)

Substitute 222.5 g/mol for molar mass of \text{MCl}_2 and 35.453 g for atomic mass of Cl in equation (5).

\begin{aligned}\text{Atomic mass of M}=&222.5\text{ g}-2\left(35.453\text{ g}\right)\\=&151.6\text{ g}\end{aligned}

Therefore atomic mass of M is 151.6 g.

Learn more:

1. Calculate the moles of chlorine in 8 moles of carbon tetrachloride: brainly.com/question/3064603

2. Calculate the moles of ions in the solution: brainly.com/question/5950133

Answer details:

Grade: Senior School

Subject: Chemistry

Chapter: Mole concept

Keywords: AgCl, MCl2, 151.6 g, atomic mass, molar mass, 222.5 g/mol, 35.453 g, 1.286 g, 0.999 g, stoichiometric ratio, 1:2.

qaws [65]3 years ago
3 0

Mass of silver chloride formed = 1.286 g

Molar mass of silver chloride = 143.32 g/mol AgCl

Converting mass to moles of AgCl using the molar mass:

1.286 g AgCl *\frac{1mol}{143.32g}= 0.00897 mol AgCl

The balanced chemical equation between metal chloride and silver nitrate can be represented as,

MCl_{2}(aq)+2AgNO_{3}(aq)-->2AgCl(s)+M(NO_{3})_{2}(aq)

Calculating the moles of MCl2 from moles of AgCl that form:

0.00897 mol AgCl*\frac{1molMCl_{2} }{2molAgCl} =0.00449mol MCl_{2}

The given mass of MCl_{2}=0.999 g

Molar mass of MCl_{2}=\frac{0.999g}{0.00449mol} =222.5g/mol

Molar mass of M= Molar mass of MCl_{2}- 2 (Molar mass of Cl)

                          =151.6g/mol

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Explanation:

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Taking into account the definition of dilution, the concentration of the new solution is 1 mol/L.

<h3>Dilution</h3>

When it is desired to prepare a less concentrated solution from a more concentrated one, it is called dilution.

Dilution is the process of reducing the concentration of solute in solution, which is accomplished by simply adding more solvent to the solution at the same amount of solute.

In a dilution the amount of solute does not change, but as more solvent is added, the concentration of the solute decreases, as the volume (and weight) of the solution increases.

A dilution is mathematically expressed as:

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  • Vf: final volume

<h3>Final volume</h3>

In this case, you know:

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Replacing in the definition of dilution:

6 mol/L× 200 mL= Cf× 1200 mL

Solving:

(6 mol/L× 200 mL)÷ 1200 mL= Cf

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In summary, the concentration of the new solution is 1 mol/L.

Learn more about dilution:

brainly.com/question/6692004

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brainly.com/question/24709069

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