Suppose the Celsius temperature of an ideal gas is doubled

Chapter 17, Problem 77GP

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Problem 77GP

Suppose the Celsius temperature of an ideal gas is doubled from 100 °C to 200 °C. (a) Docs the average kinetic energy of the molecules in this gas increase by a factor-that is greater than, less than, or equal to 2? (b) Choose the best explanation from among the following:

I. Changing the temperature from 100 °C to 200 °C goes beyond the boiling point, which will increase the kinetic energy by more than a factor of 2.

II. The average kinetic energy is directly proportional to the temperature, so doubling the temperature doubles the kinetic energy.

III. Doubling the Celsius temperature from 100 °C to 200 °C changes the Kelvin temperature from 373.15 K to 473.15 K, which is an increase oF less than a factor of 2.

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