Question

A sample of gas at 240K and 670 mmHg occupies a 0.128L volume. What volume (in Liters) will the gas occupy at 198K if the pressure remains constant?

Answer 1

To solve the question we will use Charles's law, which relates volume and temperature when pressure is kept constant.

Charles's law says the following:

$\frac{V_1}{T_1}=\frac{V_2}{T_2}$

Where,

V1 is the initial volume = 0.128L

T1 is the initial volume = 240K

T2 is the final volume = 198K

V2 is the final volume = ?

Now, we clear V2 and replace the known data:

$\begin{gathered} V_2=\frac{V_1}{T_1}\times T_2 \\ V_2=\frac{0.128L}{240K}\times198K=0.106L \end{gathered}$

Answer: At 198K if the pressure remains constant the volume of the gas will be 0.106L