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niranjan_learner
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Homework Statement
When a gas is enclosed in an impermeable box and heated to a high temperature T, some of the neutral atoms lose an electron and become ions. If the number density of neutral atoms, ions and electrons is Na , N i and N e , respectively, these can be related to the average volume V a occupied by an atom/ion and the ionisation energy E by the relation
2. Options
(a) N e (N a + N i ) = (N a /V a ) exp (−E/k B T )
(b) N a (N e + N i ) = (N a /V a ) exp (−E/k B T )
(c) N e N i = (N a /V a ) exp (+E/k B T )
(d) N e N i = (N a /V a ) exp (−E/k B T )
The Attempt at a Solution
The Maxwell distribution is Ne=Ngexp(-E/kBT). Where Ng and Ne are number of atoms in ground state and exited state respectively, E is the energy difference between the states. I don't know how to apply this concept here and how the average volume occupied by atom, Va enters the equation.
Please give me hints to solve this problem.
Problem Reference: TIFR GS 2012 Physical Sciences Question Paper.