An experiment youre designing needs a gas with gamma 166, Physics

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An experiment youre designing needs a gas with gamma 166

Question: An experiment you're designing needs a gas with gamma = 1.66. You recall from your physics class that no individual gas has this value, but it occurs to you that you could produce a gas with gamma = 1.66 by mixing together a monatomic gas and a diatomic gas.

Question 1: What fractions of the molecules need to be monatomic?

Please show how you got the answer. Please provide each step and all work.

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Physics: An experiment youre designing needs a gas with gamma 166

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