Question

Which of the following is the correct mathematical representation of Charles's law?

• A. $\frac{V_1}{T_2}=\frac{V_2}{T_1}$
• B. $\frac{V_1}{T_1}=\frac{V_2}{T_2}$
• C. $V_1=2T_2$
• D. $V_2=2T_2$

Answer 1

The correct option is B $\frac{V_1}{T_1}=\frac{V_2}{T_2}$

Charles's law is stated as follows:

"The volume of a given mass of gas at constant pressure is directly proportional to its temperature on the Kelvin scale."

Let $V_1$ be the volume of a certain mass of gas at temperature $T_1$ and pressure, P. If the temperature is changed to $T_2$, while keeping the pressure constant, its volume changes to $V_2$ . The relationship among the four variables $V_1$ , $T_1$ ,$V_2$ , and $T_2$ is as follows:

$\frac{V_1}{T_1}=\frac{V_2}{T_2}$ (Pressure and mass constant)