Solveeit Logo
Login

Question

Chemistry Question on Structure of atom

Energy associated with the first orbit of He+ {He^+} is

A

\ce8.72×10−18 joules\ce{ 8.72 \times 10^{-18} \, joules }

B

\ce0.872×10−18 joules\ce{ 0.872 \times 10^{-18} \, joules }

C

\ce−0.872×10−18 joules\ce{ -0.872 \times 10^{-18} \, joules }

D

\ce−8.72×10−18 joules\ce{ -8.72 \times 10^{-18} \, joules }

Answer

\ce−8.72×10−18 joules\ce{ -8.72 \times 10^{-18} \, joules }

Explanation

Solution

For H-like particles,
En=−21.78×10−19n2Z2 JE_n = \frac{-21.78 \times 10^{-19}}{n^2} Z^2 \, J
=−21.78×10−1912×(2)2=−8.712×10−18J= \frac{-21.78 \times10^{-19}}{1^{2}} \times\left(2\right)^{2} = - 8.712 \times10^{-18 }J