Energy of an electron is given by En = –2.178 × 10–18 \left(\right. \frac{Z^{2}}{n^{2}} \left.\right) J mol-1 Wavelength of light required to excite an electron in an hydrogen atom from level n = 1 to n = 2 will be: (h = 6.62 × 10–34 Js and c = 3.0 × 108 ms

Engineering

Chemistry

Gibbs Free Energy Calculations and Third Law

Question

Energy of an electron is given by

E_n = –2.178 × 10^–18 $(\frac{Z^{2}}{n^{2}})$ J mol^-1

Wavelength of light required to excite an electron in an hydrogen atom from level n = 1 to n = 2 will be:

(h = 6.62 × 10^–34 Js and c = 3.0 × 108 ms^–1)

2.816 × 10^–7 m

8.500 × 10^–7 m

1.214 × 10^–7 m

6.500 × 10^–7 m

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$\frac{hc}{λ} = 2 .175 \times 10^{- 18} Z^{2} [\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}}]$

$λ = \frac{6 .62 \times 10^{- 34} \times 3 \times 10^{8}}{2 .178 \times 10^{- 18} \times 1 [\frac{1}{1} - \frac{1}{4}]}$

= 1.214 × 10^–7 m

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