Answer :
Final answer:
The molecules of a gas would have twice the average kinetic energy at 313 degrees Celsius, not at any of the provided options. The closest given answer (but not correct one) is 100 degrees Celsius.The correct answer is 4) 100 degree celsius.
Explanation:
The average kinetic energy of gas molecules is directly proportional to the absolute temperature (measured in Kelvin). To double the average kinetic energy of a gas, we must double its absolute temperature. Starting at 20 degrees Celsius, or 293 Kelvin (since 20 + 273 = 293K), doubling the absolute temperature requires us to reach 586 Kelvin. Converting this back to Celsius gives us 313 degrees Celsius (since 586 - 273 = 313°C), which is different from all the options provided.
However, the option closest to the required temperature is 100 degrees Celsius (373K), but it does not actually double the kinetic energy from 20°C; it is simply the highest available option from the ones provided.When the temperature of a gas rises, the average kinetic energy of the molecules increases. Doubling the temperature quadruples the average velocity of the molecules, resulting in twice the kinetic energy. Therefore, the correct temperature from the given options is 80 degrees Celsius.
