n amounts to 4 state, initially. So that provides n i equal to 4 and also the last state will certainly have an worth of n equal to infinity. That's what it indicates for an electron to be ionized, it's power level is so big that it's no longer basically attached to the nucleus anymore. So the amount of energy of this last state will be negative 13.6 electron volts split by infinity which basically will make it zero. And so we have actually this distinction in power between the final state and also the initial state is going to be zero minus the initial power which is negative 13.6 electron volts divided by the initial energy level, 4 squared. This renders 0.850 electron volts. So that's the power difference in between the final state of the electron being power level of infinity, or in other words, ionized versus electron being in a state, initially of 4 and this is the ionization power then.">


You are watching: How much energy is required to ionize hydrogen when it is in the n = 4 state?

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This is College Physics Answers with Shaun Dychko. This question asks just how much energy is necessary to ionize a hydrogen atom that has the electron in the n equates to 4 state, initially. So that provides n i equal to 4 and also the last state will have actually an value of n equal to infinity. That"s what it implies for an electron to be ionized, it"s power level is so significant that it"s no much longer basically attached to the nucleus anyeven more. So the amount of power of this last state will be negative 13.6 electron volts divided by infinity which fundamentally will certainly make it zero. And so we have this distinction in energy in between the last state and also the initial state is going to be zero minus the initial power which is negative 13.6 electron volts split by the initial energy level, 4 squared. This renders 0.850 electron volts. So that"s the power difference in between the final state of the electron being power level of infinity, or in various other words, ionized versus electron being in a state, initially of 4 and also this is the ionization energy then.
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