Suppose the Celsius temperature of an ideal gas is doubled from 100 to 200 . A)

Question

Suppose the Celsius temperature of an ideal gas is doubled from 100 to 200 .


A) Does the average kinetic energy of the molecules in this gas increase by a factor that is greater than, less than, or equal to 2?
greater than
less than
equal to 2

B)Choose the best explanation from among the following:
The average kinetic energy is directly proportional to the temperature, so doubling the temperature doubles the kinetic energy.
Doubling the Celsius temperature from 100 to 200 changes the Kelvin temperature from 373.15 to 473.15 , which is an increase of less than a factor of 2.
Changing the temperature from 100 to 200 goes beyond the boiling point, which will increase the kinetic energy by more than a factor of 2.

Explanation / Answer

a ) Answer for the first one is ' equal to 2 '. Because, K2/K1 = T2/T1 = 200/100 = 2 b) The answer for the second one is the first one. From the above equation we conclude that kinetic energy is proportional to the Temparature.

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