Soru
Exercise 2 Natural copper is composed of two different isotopes. Their masses are 62.929 and 64.92 , respectively. The stomic number of copper is Z=29 2. Give the composition of the two isotopes. b. Knowing that the atomic mass of the natural mixture of the two isotopes is 6354, calculate the abundance of each isotope.
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Elit · 8 yıl öğretmeniUzman doğrulaması
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Let's denote the abundance of the isotope with mass 62.929 as x and the abundance of the isotope with mass 64.92 as (1-x) since the total abundance of the two isotopes is 100%.<br /><br />The atomic mass of the natural mixture can be calculated using the formula:<br /><br />Atomic mass = (mass of isotope 1 * abundance of isotope 1) + (mass of isotope 2 * abundance of isotope 2)<br /><br />Given that the atomic mass of the natural mixture is 63.54, we can set up the equation:<br /><br />63.54 = (62.929 * x) + (64.92 * (1-x))<br /><br />Solving for x, we get:<br /><br />63.54 = 62.929x + 64.92 - 64.92x<br /><br />63.54 - 64.92 = -1.973x<br /><br />-1.372 = -1.973x<br /><br />x = 1.973 / 1.973<br /><br />x = 1<br /><br />Therefore, the abundance of the isotope with mass 62.929 is 100%, and the abundance of the isotope with mass 64.92 is 0%.
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