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Problem 4Consider an imaginary element (let’s call it Im), which is a diatomic gas below 700K...

Problem 4Consider an imaginary element (let’s call it Im), which is a diatomic gas below 700K and a monatomicgas above that.a) (5 points)If you have 3 moles of Im2at 500 K, and heat it up to 800 K (so that it dissociates into monatomicIm), how many moles of gas do you now have?b) (5 points)How many modes per molecule would you expect Im2to have at 500K? What are they? Assume allmodes are active.c) (5 points)How many modes per atom would you expect Im to have at 800K? What are they?(Note:Part d) is on the back of this page) d) (15 points)You are given 3 moles of Im2at 500K in a sealed container and measure the heat capacity. Youthen heat the contents of the container to 800K and measure the heat capacity again. What heatcapacities would you expect to measure at these two temperatures?Assume no modes are frozen out in either case, neglect the heat capacity of the container, andassume that no gas enters or exits the container during your experiment. (Please extra help with part D)

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