When doing numerical calculations involving temperature, youneed to pay particul

Question

When doing numerical calculations involving temperature, youneed to pay particular attention to the temperature scale you areusing. In general, you should use the Kelvin scale (for whichT=0 represents absolute zero) in such calculations. This isbecause the standard thermodynamic equations (i.e., the ideal gaslaw and the formula for energy of a gas in terms of temperature)assume that zero degrees represents absolute zero.
If you are given temperatures measured in units other thankelvins, convert them to kelvins before plugging them into theseequations. (You may then want to convert back into the initialtemperature unit to give your answer.)

Having a hard time with part B....

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Explanation / Answer

So here are the formulas you need to know: Kavg = (3/2)kbT, where kb isBoltzmann's constant In the next equation, m=mass Vrms=sqrt ( 3kT/m) So part A. To double K, we need to double T. That is, it was 10oC,which is 283K, so the new temperature should be 566K or293oC. Part B: To double the velocity, we need to square the temperature. So westart with T= 10oC or 283K and then square the 283. Thefinal temperature should be 80089K or 79816oC.

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