A (1.00-mathrm{mol}) sample of an ideal diatomic gas in which the gas particles both translate and rotate

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A \(1.00-\mathrm{mol}\) sample of an ideal diatomic gas in which the gas particles both translate and rotate is initially at \(600 \mathrm{~K}\). Energy is then added thermally to the sample until its temperature is \(1000 \mathrm{~K}\). At this temperature, the particles also vibrate. The sample is then heated to \(1200 \mathrm{~K}\). How much thermal energy does the sample absorb?

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