# Breathing Fire

Chemistry Level 2

$\Large \Psi_{2s} = \frac{1}{4 \sqrt{2 \pi}} \left(\frac{1}{a_0}\right)^{\frac{3}{2}} \left(2- \frac{r}{a_0}\right) e^{\frac{-r}{a_0}}$

The Schrödinger's wave equation for a hydrogen atom is given above, where $$a_0$$ is the Bohr's radius of $$0.529\ \overset{\circ}{\text{A}}$$. If the radial node in $$2s$$ is at $$r_0$$, then what is the value of $$r_0$$?

Give your answer in Angstrom units: $$1\ \overset{\circ}{\text{A}} = 10^{-10} \text{ m}$$.

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