y Part A The average kinetic energy of the molecules of an ideal gas at 10°C has the value K10. At what temperature T₁ (in degrees Celsius) will the average kinetic energy of the same gas be twice this value, 2K10? Express the temperature to the nearest integer. ▸ View Available Hint(s) T₁ = Submit Part B - ΑΣΦ ? °C The molecules in an ideal gas at 10°C have a root-mean-square (rms) speed Urms. At what temperature T₂ (in degrees Celsius) will the molecules have twice the rms speed, 20rms?

University Physics Volume 2
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Chapter2: The Kinetic Theory Of Gases
Section: Chapter Questions
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When doing numerical calculations involving temperature,
you need to pay particular attention to the temperature
scale you are using. In general, you should use the Kelvin
scale (for which T = 0 represents absolute zero) in such
calculations. This is because the standard thermodynamic
equations (i.e., the ideal gas law 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 than
kelvins, convert them to kelvins before plugging them into
these equations. (You may then want to convert back into
the initial temperature unit to give your answer.)
Part A
The average kinetic energy of the molecules of an ideal gas at 10°C has the value K10. At what temperature T₁ (in degrees Celsius) will the
average kinetic energy of the same gas be twice this value, 2K10?
Express the temperature to the nearest integer.
► View Available Hint(s)
T₁ =
Submit
Part B
V
ΑΣΦ
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°C
The molecules in an ideal gas at 10°C have a root-mean-square (rms) speed urms. At what temperature T₂ (in degrees Celsius) will the
molecules have twice the rms speed, 2vrms?
Express the temperature to the nearest integer.
Transcribed Image Text:When doing numerical calculations involving temperature, you need to pay particular attention to the temperature scale you are using. In general, you should use the Kelvin scale (for which T = 0 represents absolute zero) in such calculations. This is because the standard thermodynamic equations (i.e., the ideal gas law 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 than kelvins, convert them to kelvins before plugging them into these equations. (You may then want to convert back into the initial temperature unit to give your answer.) Part A The average kinetic energy of the molecules of an ideal gas at 10°C has the value K10. At what temperature T₁ (in degrees Celsius) will the average kinetic energy of the same gas be twice this value, 2K10? Express the temperature to the nearest integer. ► View Available Hint(s) T₁ = Submit Part B V ΑΣΦ Ć wwwwww ? °C The molecules in an ideal gas at 10°C have a root-mean-square (rms) speed urms. At what temperature T₂ (in degrees Celsius) will the molecules have twice the rms speed, 2vrms? Express the temperature to the nearest integer.
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