QUESTION IMAGE
Question
- what is the mass number for a neon atom with 15 neutrons? what would the atoms full name be?
- what is the mass for copper - 75?
- how do you calculate average atomic mass?
- the element copper has naturally occurring isotopes with mass numbers 63 and 65. the masses are: 62.93 amu (69.2%) and 64.93 (30.8%). calculate the average atomic mass of copper. show all your work. use proper number of sig - figs throughout your work.
- rubidium is a soft, silvery - white metal that has two common isotopes, ^85rb and ^87rb. if the abundance of ^85rb is 72.2% and the abundance of ^87rb is 27.8%, what is the average atomic mass of rubidium?
- uranium is used in nuclear reactors and is a rare element on earth. uranium has three common isotopes. if the abundance of ^234u is 0.01%, the abundance of ^235u is 0.71%, and the abundance of ^238u is 99.28%, what is the average atomic mass of uranium?
- titanium has five common isotopes: ^46ti (8.0%), ^47ti (7.8%), ^48ti (73.4%), ^49ti (5.5%), ^50ti (5.3%). what is the average atomic mass of titanium?
- why is the mass in amu of a carbon - 12 atom reported as 12.011 in the periodic table of the elements?
- naturally occurring chlorine that is put in pools is 75.53 percent ^35cl (mass = 34.969 amu) and 24.47 percent ^37cl (mass = 36.966 amu). calculate the average atomic mass.
- copper used in electric wires comes in two flavors (isotopes): ^63cu and ^65cu
Step1: Recall mass - number formula
The mass number ($A$) of an atom is the sum of the number of protons and neutrons. Neon has an atomic number ($Z$) of 10 (number of protons). Given 15 neutrons, $A=Z + N$. So $A = 10+15=25$. The full name is neon - 25.
Step2: Copper - 75 mass
Copper - 75 has a mass number of 75. In atomic mass units (amu), the mass is approximately 75 amu.
Step3: Average atomic mass formula
The average atomic mass ($\bar{M}$) of an element with isotopes is calculated as $\bar{M}=\sum_{i = 1}^{n}M_i\times\%_{i}$, where $M_i$ is the mass of the $i$ - th isotope and $\%_{i}$ is the percentage abundance of the $i$ - th isotope (expressed as a decimal).
Step4: Calculate copper average atomic mass
For copper:
$M_1 = 62.93$ amu, $\%_1=0.692$, $M_2 = 64.93$ amu, $\%_2 = 0.308$
$\bar{M}=(62.93\times0.692)+(64.93\times0.308)$
$=43.54756+19.99844$
$=63.546\approx63.55$ amu
Step5: Calculate rubidium average atomic mass
For rubidium:
$M_1$ (for $^{85}$Rb) $\approx85$ amu, $\%_1 = 0.722$, $M_2$ (for $^{87}$Rb) $\approx87$ amu, $\%_2=0.278$
$\bar{M}=(85\times0.722)+(87\times0.278)$
$=61.37+24.186$
$=85.556\approx85.56$ amu
Step6: Calculate uranium average atomic mass
For uranium:
$M_1$ (for $^{234}$U) $\approx234$ amu, $\%_1 = 0.0001$, $M_2$ (for $^{235}$U) $\approx235$ amu, $\%_2=0.0071$, $M_3$ (for $^{238}$U) $\approx238$ amu, $\%_3 = 0.9928$
$\bar{M}=(234\times0.0001)+(235\times0.0071)+(238\times0.9928)$
$=0.0234 + 1.6685+236.2864$
$=237.9783\approx238.0$ amu
Step7: Calculate titanium average atomic mass
For titanium:
$M_1$ (for $^{46}$Ti) $\approx46$ amu, $\%_1 = 0.080$, $M_2$ (for $^{47}$Ti) $\approx47$ amu, $\%_2=0.078$, $M_3$ (for $^{48}$Ti) $\approx48$ amu, $\%_3 = 0.734$, $M_4$ (for $^{49}$Ti) $\approx49$ amu, $\%_4=0.055$, $M_5$ (for $^{50}$Ti) $\approx50$ amu, $\%_5 = 0.053$
$\bar{M}=(46\times0.080)+(47\times0.078)+(48\times0.734)+(49\times0.055)+(50\times0.053)$
$=3.68+3.666+35.232+2.695+2.65$
$=47.923\approx47.92$ amu
Step8: Carbon - 12 mass in periodic table
The mass of carbon - 12 reported as 12.011 amu in the periodic table is because the periodic - table value is the average atomic mass of carbon, which takes into account the presence of other carbon isotopes (such as carbon - 13) in nature.
Step9: Calculate chlorine average atomic mass
For chlorine:
$M_1 = 34.969$ amu, $\%_1=0.7553$, $M_2 = 36.966$ amu, $\%_2 = 0.2447$
$\bar{M}=(34.969\times0.7553)+(36.966\times0.2447)$
$=26.4321857+9.0456702$
$=35.4778559\approx35.48$ amu
Step10: Copper isotopes in wires
This part seems to be an introduction without a specific question. If the question is about average atomic mass (similar to previous copper cases), we would use the formula $\bar{M}=\sum_{i = 1}^{n}M_i\times\%_{i}$ with appropriate abundances of $^{63}$Cu and $^{65}$Cu.
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- Mass number: 25, Full name: neon - 25
- Approximately 75 amu
- $\bar{M}=\sum_{i = 1}^{n}M_i\times\%_{i}$
- 63.55 amu
- 85.56 amu
- 238.0 amu
- 47.92 amu
- Due to presence of other carbon isotopes
- 35.48 amu
- No specific question answered. If about average atomic mass, use $\bar{M}=\sum_{i = 1}^{n}M_i\times\%_{i}$