Question

If a sample of gas goes from a temperature of 35 degrees Celsius to a temperature of 100 degrees Fahrenheit, will the average speed of the gas particles (atoms) increase or decrease

Answer 1

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:

$\frac{5(F-32)}{9}=C$

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

$\begin{gathered} \frac{5(F-32)}{9}=C \\ \frac{5(100-32)}{9}=C \\ \frac{5(68)}{9}=C \\ \frac{340}{9}=C \\ 37.78=C \end{gathered}$

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