Calculate the energy required for the process

$$He^{+}_{(g)}\rightarrow He^{2+}_{(g)}+e^{-}$$

The ionization energy for the H atom in the ground state is $$2.18\times 10^{-18}\, J\,atom^{-1}$$

Asked by Pragya Singh | 1 year ago |  94

##### Solution :-

The energy associated with hydrogen-like species is:

$$E_{n}=-2.18\times 10^{-18}(\dfrac{Z^{2}}{n^{2}})J$$

For the ground state of the hydrogen atom,

$$\Delta E=E_{\infty }-E_{1}\\ \\ =0-[-(2.18\times 10^{-18}{\dfrac{(1)^{2}}{(1)^{2}}}]J\\ \\ \Delta E=2.18\times 10^{-18}J\\$$

For the process given by:

$$He^{+}_{(g)}\rightarrow He^{2+}_{(g)}+e^{-}$$

An electron is moved from n = 1 to n = ∞.

$$\Delta E=E_{\infty }-E_{1}\\ \\ =0-[-(2.18\times 10^{-18}{\dfrac{(2)^{2}}{(1)^{2}}}]J$$

$$\Delta E=8.72\times 10^{-18}J\\$$

The required energy for this process is $$8.72\times 10^{-18}J$$

Answered by Mayu | 1 year ago

### Related Questions

#### How many sub-shells are associated with n = 4?

(a) How many sub-shells are associated with n = 4?

(b) How many electrons will be present in the sub-shells having ms value of $$- \dfrac{1}{2}$$ for n = 4?

#### Indicate the number of unpaired electrons in:

Indicate the number of unpaired electrons in:

(a) P

(b) Si

(c) Cr

(d) Fe

(e) Kr

#### The unpaired electrons in Al and Si are present in 3p orbital.

The unpaired electrons in Al and Si are present in 3p orbital. Which electrons will experience more effective nuclear charge from the nucleus?

#### Among the following pairs of orbitals which orbital will experience the larger effective nuclear charge?

Among the following pairs of orbitals which orbital will experience the larger effective nuclear charge?

(i) 2s and 3s,

(ii) 4d and 4f,

(iii) 3d and 3p

#### The bromine atom possesses 35 electrons. It contains 6 electrons in 2p orbital, 6 electrons in 3p orbital

The bromine atom possesses 35 electrons. It contains 6 electrons in 2p orbital, 6 electrons in 3p orbital and 5 electrons in 4p orbital. Which of these electron experiences the lowest effective nuclear charge?