Respuesta :

Answer : The mass of chlorine present in sample is 12.32 kilograms.

Explanation :  Given,

Mass of [tex]CF_2Cl_2[/tex] = 21 kg = 21000 g     (1 kg = 1000 g)

First we have to calculate the moles of [tex]CF_2Cl_2[/tex].

Molar mass of [tex]CF_2Cl_2[/tex] = 121 g/mole

[tex]\text{ Moles of }CF_2Cl_2=\frac{\text{ Mass of }CF_2Cl_2}{\text{ Molar mass of }CF_2Cl_2}=\frac{21000g}{121g/mole}=173.5moles[/tex]

Now we have to calculate the moles of chlorine.

In the molecule [tex]CF_2Cl_2[/tex], there are 1 mole of carbon, 2 moles of fluorine and 2 moles of chlorine.

As, 1 mole of [tex]CF_2Cl_2[/tex] contains 2 moles of chlorine

So, 173.5 moles of [tex]CF_2Cl_2[/tex] contains [tex]173.5\times 2=347[/tex] moles of chlorine

Now we have to calculate the mass of chlorine.

[tex]\text{ Mass of chlorine}=\text{ Moles of chlorine}\times \text{ Molar mass of chlorine}[/tex]

Molar mass of chlorine = 35.5 g/mole

[tex]\text{ Mass of chlorine}=(347moles)\times (35.5g/mole)=12318.5g=12.32kg[/tex]

Therefore, the mass of chlorine present in sample is 12.32 kilograms.

The mass of chlorine present in 21 kg of CF₂Cl₂ is 12.3 kg

From the question,

We are to determine the mass ( in kilograms) of chlorine present in 21 kg of CF₂Cl₂

First, we will determine the mass of Chlorine present in 1 mole of CF₂Cl₂

Molar mass of CF₂Cl₂ = 120.91 g/mol

∴ The mass of 1 mole of CF₂Cl₂ is 120.91 g

From the chemical formula,

The are 2 atoms of chlorine in 1 mole of CF₂Cl₂

Atomic mass of chlorine = 35.45 g/mol

∴ There are 2×35.45 g of chlorine in 1 mole of CF₂Cl₂

Thus, there are 70.90 g of chlorine in 1 mole of CF₂Cl₂

That means 120.91 g of CF₂Cl₂ contains 70.90 g of chlorine

Now, for the mass of chlorine present in 21 kg (that is 21000 g) of CF₂Cl₂

Let the mass of chlorine be x

If 70.90 g of chlorine are present in 120.91 g of CF₂Cl₂

Then,

x grams of chlorine will be present in 21000 g of CF₂Cl₂

∴ x = [tex]\frac{70.90 \times 21000}{120.91}[/tex]

x = [tex]\frac{1488900}{120.91}[/tex]

x = 12314.118 g

x = 12.314118 kg

∴ x ≅ 12.3 kg

Hence, the mass of chlorine present in 21 kg of CF₂Cl₂ is 12.3 kg

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