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Studentka2010 [4]
2 years ago
13

What is the mass grams that are in 2.57 × 10²⁵ molecules of I₂

Chemistry
1 answer:
lina2011 [118]2 years ago
5 0

The mass of I₂ that contains 2.57×10²⁵ molecules is 10843.52 g

From a detailed understanding of Avogadro's hypothesis, we understood 1 mole of any substance contains 6.02×10²³ molecules. This implies that 1 mole of I₂ also 6.02×10²³ molecules i.e

<h3>6.02×10²³ molecules = 1 mole of I₂</h3>

Recall:

1 mole of I₂ = 2 × 127 = 254 g

Thus,

<h3>6.02×10²³ molecules = 254 g of I₂</h3>

With the above information, we can obtain the mass of I₂ that contains 2.57×10²⁵ molecules. This is illustrated below:

6.02×10²³ molecules = 254 g of I₂

Therefore,

2.57×10²⁵ molecules = \frac{2.57*10^{25}  * 254}{6.02*10^{23}}\\\\

<h3>2.57×10²⁵ molecules = 10843.52 g of I₂</h3>

Thus, the mass of I₂ that contains 2.57×10²⁵ molecules is 10843.52 g

Learn more: brainly.com/question/24848191

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<u>Answer:</u> The percentage abundance of _{77}^{191}\textrm{Ir} and _{77}^{193}\textrm{Ir} isotopes are 37.10% and 62.90% respectively.

<u>Explanation:</u>

Average atomic mass of an element is defined as the sum of masses of each isotope each multiplied by their natural fractional abundance.

Formula used to calculate average atomic mass follows:

\text{Average atomic mass }=\sum_{i=1}^n\text{(Atomic mass of an isotopes)}_i\times \text{(Fractional abundance})_i   .....(1)

Let the fractional abundance of _{77}^{191}\textrm{Ir} isotope be 'x'. So, fractional abundance of _{77}^{193}\textrm{Ir} isotope will be '1 - x'

  • <u>For _{77}^{191}\textrm{Ir} isotope:</u>

Mass of _{77}^{191}\textrm{Ir} isotope = 190.9606 amu

Fractional abundance of _{77}^{191}\textrm{Ir} isotope = x

  • <u>For _{77}^{193}\textrm{Ir} isotope:</u>

Mass of _{77}^{193}\textrm{Ir} isotope = 192.9629 amu

Fractional abundance of _{77}^{193}\textrm{Ir} isotope = 1 - x

Average atomic mass of iridium = 192.22 amu

Putting values in equation 1, we get:

192.22=[(190.9606\times x)+(192.9629\times (1-x))]\\\\x=0.3710

Percentage abundance of _{77}^{191}\textrm{Ir} isotope = 0.3710\times 100=37.10\%

Percentage abundance of _{77}^{193}\textrm{Ir} isotope = (1-0.3710)=0.6290\times 100=62.90\%

Hence, the percentage abundance of _{77}^{191}\textrm{Ir} and _{77}^{193}\textrm{Ir} isotopes are 37.10% and 62.90% respectively.

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