1. calculate the relative atomic mass for nitrogen using the formula\n$^{14}_{7}n = 99.63%$\n$^{15}_{7}n =…

1. calculate the relative atomic mass for nitrogen using the formula\n$^{14}_{7}n = 99.63%$\n$^{15}_{7}n = 0.37%$\n2. calculate the relative atomic mass for boron using the following\n$^{10}_{5}b = 19.90%$\n$^{11}_{5}b = 80.10%$
Answer
Explanation:
Step1: Recall relative - atomic - mass formula
The relative atomic mass ($A_r$) of an element with isotopes is calculated as $A_r=\sum_{i} (m_i\times x_i)$, where $m_i$ is the mass number of the $i$-th isotope and $x_i$ is its relative abundance.
Step2: Calculate relative atomic mass of nitrogen
For nitrogen, $m_1 = 14$, $x_1=0.9963$ and $m_2 = 15$, $x_2 = 0.0037$. $A_{r(N)}=14\times0.9963 + 15\times0.0037$ $=13.9482+0.0555$ $=14.0037$
Step3: Calculate relative atomic mass of boron
For boron, $m_1 = 10$, $x_1 = 0.1990$ and $m_2=11$, $x_2 = 0.8010$. $A_{r(B)}=10\times0.1990+11\times0.8010$ $=1.99 + 8.811$ $=10.801$
Answer:
- The relative atomic mass of nitrogen is $14.0037$.
- The relative atomic mass of boron is $10.801$.