QUESTION IMAGE
Question
- calculate the average atomic mass of hydrogen with the following isotopes: h - 1 = 99%, h - 2 = 0.8%, h - 3 = 0.2%.
Step1: Recall average - atomic - mass formula
The formula for average atomic mass is $\sum_{i}(m_i\times p_i)$, where $m_i$ is the mass of the isotope and $p_i$ is its percent - abundance in decimal form.
Step2: Convert percent - abundances to decimals
$H - 1$: $p_1=0.99$, $H - 2$: $p_2 = 0.008$, $H - 3$: $p_3=0.002$. Assume the mass of $H - 1$ is $1\ amu$, the mass of $H - 2$ is $2\ amu$, and the mass of $H - 3$ is $3\ amu$.
Step3: Calculate the average atomic mass
\[
$$\begin{align*}
\text{Average atomic mass}&=(1\times0.99)+(2\times0.008)+(3\times0.002)\\
&=0.99 + 0.016+0.006\\
&=1.012\ amu
\end{align*}$$
\]
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1.012 amu