Celsius and Fahrenheit
In order to being able to compare the temperatures, we want to convert any of the two temperatures of the gas:
35 C and 100 F
so we can have both temperatures in degrees Celsius (C) or both in degrees Fahrenheit (F).
We are going to convert the second to degrees Celsius using following the formula of conversion:

We want to know how many degrees C correspond to 100F. Then, we just replace it in the equation:

This means that the sample of gas goes from 35° C to 37.78° C. Then, the average speed of the gas particles (atoms) increased