Question

A one electron species, X m, where m is the charge of the one electron species and X is the element symbol, loses its one electron from its ground state when it absorbs 3.49 x 10-17 J of energy. Using the prior information, the charge of the one electron species is:_____________
a. +8
b. +2
c. +3
d. +1
e. +4

Answer 1

Answer:

Option C

Explanation:

From the question we are told that:

Difference in energy $\delta E =3.49 * 10^{-17} J$

The Ground state Difference in energy at n=1

$\delta E_g = 2.18 * 10^{-18} × Z^2$

Generally the equation for Difference in energy is mathematically given by

$\delta E=\delta E_g$

Therefore

$3.49 * 10^{-17} = 2.18 * 10^{-18} * Z^2$

$Z^2=16$

$Z=4$

Therefore

Charge on element Z Q_Z

$Q_Z= Atomic\ no\. of\ element - No.\ of\ electrons\ of\ element$

$Q_Z =4-1$

$Q_Z=+3$

Option C