Question

$FIGUREP41.41$shows the first few energy levels of the lithium atom. Make a table showing all the allowed transitions in the emission spectrum. For each transition, indicate

a. The wavelength, in nm.

b. Whether the transition is in the infrared, the visible, or the ultraviolet spectral region.

c. Whether or not the transition would be observed in the lithium absorption spectrum.

Short answer

a) For transition wavelength is shown in nm.

b) Whether the transition is in the infrared, the visible, or the ultraviolet spectral region, it is shown in table.

c )In the table ,it is shown whether or not the transition would be observed in the lithium absorption spectrum.

Step-by-step solution

Part(a)Step 1 : Given information

We are given $FIGUREP41.41$shows the first few energy levels of the lithium atom .

We need to Make a table showing all the allowed transitions in the emission spectrum indicating wavelength, whether the transition is in the infrared, the visible, or the ultraviolet spectral region, whether or not the transition would be observed in the lithium absorption spectrum .

Part(a)Step 2 : Explanation 

Formula used will be , $E=\frac{hc}{\lambda }=\frac{1240eVnm}{\lambda }$

Transition a) Wavelength(nm) localid="1650734260872" $$\begin{gathered} 2p\to 2s670nm \\ 3s\to 2p816nm \\ 3p\to 2s324nm \\ 3p\to 3s2696nm \\ 3d\to 2p611nm \\ 3d\to 3p24.800nm \\ 4s\to 2p498nm \\ 4s\to 3p2430nm \end{gathered}$$

Part(b)Step 1 : Given information

We are given that $FIGUREP41.41$shows the first few energy levels of the lithium atom .

We need to Make a table showing all the allowed transitions in the emission spectrum indicating wavelength, whether the transition is in the infrared, the visible, or the ultraviolet spectral region, whether or not the transition would be observed in the lithium absorption spectrum .

Part(b)Step 2 : Explanation 

We will use relation between energy and wavelength, $E=\frac{hc}{\lambda }=\frac{1240eVnm}{\lambda }$

Transition b)Type ( $\lambda$)

localid="1650734358113" $$\begin{gathered} 2p\to 2sVIS \\ 3s\to 2pIR \\ 3p\to 2sUV \\ 3p\to 3sIR \\ 3d\to 2pVIS \\ 3d\to 3pIR \\ 4s\to 2pVIS \\ 4s\to 3pIR \end{gathered}$$

Part(c)Step 1 : Given information

We are given that $FIGUREP41.41$shows the first few energy levels of the lithium atom .

We need to Make a table showing all the allowed transitions in the emission spectrum indicating wavelength, whether the transition is in the infrared, the visible, or the ultraviolet spectral region, whether or not the transition would be observed in the lithium absorption spectrum .

Part(c)Step 2 : Explanation 

We will use relation between energy and wavelength, $E=\frac{hc}{\lambda }=\frac{1240eVnm}{\lambda }$

Transition c)Absorption

$$\begin{gathered} 2p\to 2sYes \\ 3s\to 2pNo \\ 3p\to 2sYes \\ 3p\to 3sNo \\ 3d\to 2pNo \\ 3d\to 3pNo \\ 4s\to 2pNo \\ 4s\to 3pNo \end{gathered}$$