Answer: 345.15°C
Step-by-step explanation:
The average kinetic energy of the molecules in an ideal gas is proportional to its temperature in Kelvin scale. So, if the average kinetic energy doubles, then the temperature must also double.
The initial temperature of the gas is 36°C = 36 + 273.15 = 309.15 K.
Doubling the temperature, we get:
Final temperature = 2 × 309.15 K = 618.3 K
Converting back to Celsius scale, we get:
Final temperature = 618.3 - 273.15 = 345.15°C
Therefore, the final temperature of the gas is 345.15°C.