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For an electron in the n = 4 state of the hydrogen atom, calculate the radius of

ID: 1512703 • Letter: F

Question

For an electron in the n = 4 state of the hydrogen atom, calculate the radius of the elwctron's orbit.(Express your answer to four significant figures.) times10^minus10m For an electron in the n = 4 state of the hydrogen atom, calculate the kinetic energy of the electron. (Express your answer to four significant figures.) times 10^minus19J For an electron in the n = 4 state of the hydrogen atom, calculate the total energy of the electron. (Express your answer to four significant figures.) times10^minus19 J For an electron in the n=4 state of the hydrogen atom, calculate the speed of the electron. (Express your answer to four significant figures.) times 10^5m/s

Explanation / Answer

rn = 5.291*10^-11*n^2/Z
r = 5.291*16*10^-11 = 84.656*10^-11 m

KE = 13.6/n^2 ev = 0.85 ev

TE = -KE = -0.85 ev

KE = 0.5mv^2
m = 9.1*10^-31 kg
and 1 ev = 1.6*10^-19 J
so, v = sqroot(2KE/m) = 546718.4823 m/s

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