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Ch 19: Work, Heat, and the First Law of Thermodynamics

Chapter 19, Problem 20

A monatomic gas is adiabatically compressed to ⅛ of its initial volume. Does each of the following quantities change? If so, does it increase or decrease, and by what factor? If not, why not? d. The molar specific heat at constant volume.

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Hey, everyone in this problem, neon gas expands idiomatically from V naught to three V naught where V is the initial volume. And we're asked to find the factor by which CV, the molar specific heat at constant volume is increased or decreased. And if not change, we're asked to state why. OK. So we have four answer choices here. Option A, it increases by a factor of three. Option B, it decreases by a factor of three. Option C, it increases by a factor of one third and option D, it does not change since it is constant. Now, let's think about what our moler specific heat up, constant volume is and this value CV recall is constant for a particular gas. And so we're dealing with neon no matter what the volume is. OK, as this expands idiotically or in any other way we're dealing with neon. And so that molar specific heat is going to be the same both initially and finally, actually, the correct answer here is option D CV does not change since it is a constant four neon. That's it for this one. Thanks everyone for watching. See you in the next one.