1. use the data table below to answer the following questions. the two isotopes are of unknown element r.\n|…

1. use the data table below to answer the following questions. the two isotopes are of unknown element r.\n| isotope | atomic mass (amu) | natural abundance |\n| ---- | ---- | ---- |\n| 1 | 62.9296 | 69.17% |\n| 2 | 64.9378 | 30.83% |\na. create the mass spectrum that represents element r using the data above.\nb. **calculate the atomic mass of this element and determine its identity. make sure to use significant figures!\n(62.9296×69.17)+(64.9378×30.83)\n4352.8 + 2002\n6354.8 / 100 = 63.548 = cu copper\nc. **based on your answer above, complete the table below.\n| isotope | nuclear symbol | isotope name |\n| ---- | ---- | ---- |\n| 1 | | |\n| 2 | | |

1. use the data table below to answer the following questions. the two isotopes are of unknown element r.\n| isotope | atomic mass (amu) | natural abundance |\n| ---- | ---- | ---- |\n| 1 | 62.9296 | 69.17% |\n| 2 | 64.9378 | 30.83% |\na. create the mass spectrum that represents element r using the data above.\nb. **calculate the atomic mass of this element and determine its identity. make sure to use significant figures!\n(62.9296×69.17)+(64.9378×30.83)\n4352.8 + 2002\n6354.8 / 100 = 63.548 = cu copper\nc. **based on your answer above, complete the table below.\n| isotope | nuclear symbol | isotope name |\n| ---- | ---- | ---- |\n| 1 | | |\n| 2 | | |

Answer

Explanation:

Step1: Calculate atomic mass

The atomic mass ($A$) of an element with two isotopes is calculated using the formula $A = m_1\times p_1 + m_2\times p_2$, where $m_1$ and $m_2$ are the atomic - masses of the isotopes and $p_1$ and $p_2$ are their respective natural abundances (in decimal form). First, convert the percentages to decimals: $p_1=0.6917$ and $p_2 = 0.3083$. Then, $A=(62.9296\times0.6917)+(64.9378\times0.3083)$. $62.9296\times0.6917 = 62.9296\times(6917\div10000)=43.528$, and $64.9378\times0.3083=(64.9378\times3083\div10000)=20.02$. $A = 43.528+20.02=63.548$ amu.

Step2: Identify the element

The element with an average atomic mass of approximately $63.548$ amu is copper (Cu).

Step3: Determine nuclear symbols and isotope names

For isotope 1 with atomic mass $62.9296$ amu, the nuclear symbol is $^{63}Cu$ (since the mass number is closest to 63), and the isotope name is copper - 63. For isotope 2 with atomic mass $64.9378$ amu, the nuclear symbol is $^{65}Cu$ (since the mass number is closest to 65), and the isotope name is copper - 65.

Answer:

a. To create the mass spectrum: On the x - axis, label "Mass number" and mark 63 and 65. On the y - axis, label "Percent Abundance". Draw a peak at mass number 63 with a relative height corresponding to 69.17% and a peak at mass number 65 with a relative height corresponding to 30.83%. b. Atomic mass: $63.548$ amu, Element: Copper (Cu) c.

Isotope Nuclear Symbol Isotope Name
1 $^{63}Cu$ Copper - 63
2 $^{65}Cu$ Copper - 65